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<div class="title">test_calculations.cpp</div> </div>
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<a href="test__calculations_8cpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span>  </div>
<div class="line"><a name="l00002"></a><span class="lineno"> 2</span> <span class="preprocessor">#include "catch.hpp"</span></div>
<div class="line"><a name="l00003"></a><span class="lineno"> 3</span> <span class="preprocessor">#include "<a class="code" href="QuEST_8h.html">QuEST.h</a>"</span></div>
<div class="line"><a name="l00004"></a><span class="lineno"> 4</span> <span class="preprocessor">#include "<a class="code" href="utilities_8hpp.html">utilities.hpp</a>"</span></div>
<div class="line"><a name="l00005"></a><span class="lineno"> 5</span>  </div>
<div class="line"><a name="l00006"></a><span class="lineno"> 6</span> <span class="comment">/* allows concise use of Contains in catch's REQUIRE_THROWS_WITH */</span></div>
<div class="line"><a name="l00007"></a><span class="lineno"> 7</span> <span class="keyword">using</span> Catch::Matchers::Contains;</div>
<div class="line"><a name="l00008"></a><span class="lineno"> 8</span>  </div>
<div class="line"><a name="l00009"></a><span class="lineno"> 9</span>  </div>
<div class="line"><a name="l00010"></a><span class="lineno"> 10</span>  </div>
<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81"> 15</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"calcDensityInnerProduct"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l00016"></a><span class="lineno"> 16</span>  </div>
<div class="line"><a name="l00017"></a><span class="lineno"> 17</span>  <a class="code" href="structQureg.html">Qureg</a> mat1 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00018"></a><span class="lineno"> 18</span>  <a class="code" href="structQureg.html">Qureg</a> mat2 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00019"></a><span class="lineno"> 19</span>  </div>
<div class="line"><a name="l00020"></a><span class="lineno"> 20</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l00021"></a><span class="lineno"> 21</span>  </div>
<div class="line"><a name="l00022"></a><span class="lineno"> 22</span>  <span class="comment">// repeat these random tests 10 times </span></div>
<div class="line"><a name="l00023"></a><span class="lineno"> 23</span>  GENERATE( range(0,10) );</div>
<div class="line"><a name="l00024"></a><span class="lineno"> 24</span>  </div>
<div class="line"><a name="l00025"></a><span class="lineno"> 25</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l00026"></a><span class="lineno"> 26</span>  </div>
<div class="line"><a name="l00027"></a><span class="lineno"> 27</span>  SECTION( <span class="stringliteral">"pure"</span> ) {</div>
<div class="line"><a name="l00028"></a><span class="lineno"> 28</span>  </div>
<div class="line"><a name="l00029"></a><span class="lineno"> 29</span>  <span class="comment">// mat1 = |r1><r1|</span></div>
<div class="line"><a name="l00030"></a><span class="lineno"> 30</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r1 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00031"></a><span class="lineno"> 31</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat1, <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(r1,r1));</div>
<div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  </div>
<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="comment">// mat2 = |r2><r2|</span></div>
<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r2 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat2, <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(r2,r2));</div>
<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  </div>
<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <span class="comment">// prod( |r1><r1|, |r2><r2| ) = |<r1|r2>|^2 </span></div>
<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> prod = 0;</div>
<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<r1.size(); i++)</div>
<div class="line"><a name="l00040"></a><span class="lineno"> 40</span>  prod += conj(r1[i]) * r2[i];</div>
<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> densProd = pow(abs(prod),2);</div>
<div class="line"><a name="l00042"></a><span class="lineno"> 42</span>  </div>
<div class="line"><a name="l00043"></a><span class="lineno"> 43</span>  REQUIRE( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat1,mat2) == Approx(densProd) );</div>
<div class="line"><a name="l00044"></a><span class="lineno"> 44</span>  }</div>
<div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  SECTION( <span class="stringliteral">"mixed"</span> ) {</div>
<div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  </div>
<div class="line"><a name="l00047"></a><span class="lineno"> 47</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref1 = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00048"></a><span class="lineno"> 48</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref2 = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00049"></a><span class="lineno"> 49</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat1, ref1);</div>
<div class="line"><a name="l00050"></a><span class="lineno"> 50</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat2, ref2);</div>
<div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  </div>
<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="comment">// prod(mat1, mat2) = sum_{ij} conj(mat1_{ij}) * mat2_{ij}</span></div>
<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> refProd = 0;</div>
<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<ref1.size(); i++)</div>
<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j=0; j<ref1.size(); j++)</div>
<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  refProd += conj(ref1[i][j]) * ref2[i][j];</div>
<div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  REQUIRE( imag(refProd) == Approx(0).margin(REAL_EPS) );</div>
<div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  </div>
<div class="line"><a name="l00059"></a><span class="lineno"> 59</span>  REQUIRE( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat1,mat2) == Approx(real(refProd)) );</div>
<div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  </div>
<div class="line"><a name="l00061"></a><span class="lineno"> 61</span>  <span class="comment">// should be invariant under ordering</span></div>
<div class="line"><a name="l00062"></a><span class="lineno"> 62</span>  REQUIRE( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat1,mat2) == Approx(<a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat2,mat1)) );</div>
<div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  }</div>
<div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  SECTION( <span class="stringliteral">"unnormalised"</span> ) {</div>
<div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  </div>
<div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="comment">// set both to random (non-Hermitian) complex matrices</span></div>
<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref1 = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref2 = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat1, ref1);</div>
<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat2, ref2);</div>
<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  </div>
<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <span class="comment">// prod(mat1, mat2) = real(sum_{ij} conj(mat1_{ij}) * mat2_{ij})</span></div>
<div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> refProd = 0;</div>
<div class="line"><a name="l00074"></a><span class="lineno"> 74</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<ref1.size(); i++)</div>
<div class="line"><a name="l00075"></a><span class="lineno"> 75</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j=0; j<ref1.size(); j++)</div>
<div class="line"><a name="l00076"></a><span class="lineno"> 76</span>  refProd += conj(ref1[i][j]) * ref2[i][j];</div>
<div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  </div>
<div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  REQUIRE( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat1,mat2) == Approx(real(refProd)) );</div>
<div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  }</div>
<div class="line"><a name="l00080"></a><span class="lineno"> 80</span>  }</div>
<div class="line"><a name="l00081"></a><span class="lineno"> 81</span>  }</div>
<div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  SECTION( <span class="stringliteral">"input validation"</span> ) {</div>
<div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  </div>
<div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  SECTION( <span class="stringliteral">"dimensions"</span> ) {</div>
<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  </div>
<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  <a class="code" href="structQureg.html">Qureg</a> mat3 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat1,mat3), Contains(<span class="stringliteral">"Dimensions"</span>) && Contains(<span class="stringliteral">"don't match"</span>) );</div>
<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat3, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  }</div>
<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  SECTION( <span class="stringliteral">"state-vectors"</span> ) {</div>
<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  </div>
<div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00093"></a><span class="lineno"> 93</span>  </div>
<div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(mat1,vec), Contains(<span class="stringliteral">"valid only for density matrices"</span>) );</div>
<div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(vec,mat1), Contains(<span class="stringliteral">"valid only for density matrices"</span>) );</div>
<div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a>(vec,vec), Contains(<span class="stringliteral">"valid only for density matrices"</span>) ); </div>
<div class="line"><a name="l00097"></a><span class="lineno"> 97</span>  </div>
<div class="line"><a name="l00098"></a><span class="lineno"> 98</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00099"></a><span class="lineno"> 99</span>  }</div>
<div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  }</div>
<div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00103"></a><span class="lineno"> 103</span> }</div>
<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  </div>
<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  </div>
<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  </div>
<div class="line"><a name="l00111"></a><span class="lineno"><a class="line" href="group__unittest.html#ga8825124816954c15598897e157f6e048"> 111</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"calcExpecPauliProd"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l00112"></a><span class="lineno"> 112</span>  </div>
<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(mat);</div>
<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> vecRef = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matRef = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(mat);</div>
<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <a class="code" href="structQureg.html">Qureg</a> vecWork = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <a class="code" href="structQureg.html">Qureg</a> matWork = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  </div>
<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  </div>
<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  <span class="keywordtype">int</span> numTargs = GENERATE( range(1,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>+1) );</div>
<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="keywordtype">int</span>* targs = GENERATE_COPY( <a class="code" href="group__testutilities.html#ga35add15146aa606b256df79334b867d5">sublists</a>(range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>), numTargs) );</div>
<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  </div>
<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="comment">/* it's too expensive to try ALL Pauli sequences, via </span></div>
<div class="line"><a name="l00129"></a><span class="lineno"> 129</span> <span class="comment"> * pauliOpType* paulis = GENERATE_COPY( pauliseqs(numTargs) );.</span></div>
<div class="line"><a name="l00130"></a><span class="lineno"> 130</span> <span class="comment"> * Furthermore, take(10, pauliseqs(numTargs)) will try the same pauli codes.</span></div>
<div class="line"><a name="l00131"></a><span class="lineno"> 131</span> <span class="comment"> * Hence, we instead opt to repeatedlyrandomly generate pauliseqs</span></div>
<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00133"></a><span class="lineno"> 133</span>  GENERATE( range(0,10) ); <span class="comment">// gen 10 random pauli-codes for every targs</span></div>
<div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> paulis[numTargs];</div>
<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<numTargs; i++)</div>
<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  paulis[i] = (<a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a>) <a class="code" href="group__testutilities.html#ga7125d0747a44db58115899727ac5f6be">getRandomInt</a>(0,4);</div>
<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  </div>
<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <span class="comment">// produce a numTargs-big matrix 'pauliProd' by pauli-matrix tensoring</span></div>
<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> iMatr{{1,0},{0,1}};</div>
<div class="line"><a name="l00140"></a><span class="lineno"> 140</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> xMatr{{0,1},{1,0}};</div>
<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> yMatr{{0,-1i},{1i,0}};</div>
<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> zMatr{{1,0},{0,-1}};</div>
<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> pauliProd{{1}};</div>
<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<numTargs; i++) {</div>
<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> fac;</div>
<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="keywordflow">if</span> (paulis[i] == <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a>) fac = iMatr;</div>
<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <span class="keywordflow">if</span> (paulis[i] == <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a7abac7bb5b71e17382014c443244ad5c">PAULI_X</a>) fac = xMatr;</div>
<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">if</span> (paulis[i] == <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a2c64a9aaee27f6bcfef894d159e759bd">PAULI_Y</a>) fac = yMatr;</div>
<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  <span class="keywordflow">if</span> (paulis[i] == <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a085c85cff6ba79c52d8b1e61c42ddddf">PAULI_Z</a>) fac = zMatr;</div>
<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  pauliProd = <a class="code" href="group__testutilities.html#ga50616e813b0d0aa4f8220785d780cdff">getKroneckerProduct</a>(fac, pauliProd);</div>
<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  }</div>
<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  </div>
<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  </div>
<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="comment">/* calcExpecPauliProd calculates <qureg|pauliProd|qureg> */</span></div>
<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  </div>
<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> prodRef = vecRef; </div>
<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="code" href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a>(prodRef, targs, numTargs, pauliProd);</div>
<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> prod = 0;</div>
<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<vecRef.size(); i++)</div>
<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  prod += conj(vecRef[i]) * prodRef[i];</div>
<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  REQUIRE( imag(prod) == Approx(0).margin(REAL_EPS) );</div>
<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  </div>
<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, targs, paulis, numTargs, vecWork);</div>
<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  REQUIRE( res == Approx(real(prod)).margin(REAL_EPS) );</div>
<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  }</div>
<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  SECTION( <span class="stringliteral">"density matrix"</span> ) {</div>
<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  </div>
<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="comment">/* calcExpecPauliProd calculates Trace( pauliProd * qureg ) */</span></div>
<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  </div>
<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="comment">// produce (pauliProd * mat)</span></div>
<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> fullOp = <a class="code" href="group__testutilities.html#ga20f041452b43026d876fde17a5999265">getFullOperatorMatrix</a>(NULL, 0, targs, numTargs, pauliProd, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  matRef = fullOp * matRef;</div>
<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  </div>
<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <span class="comment">// compute real(trace(pauliProd * mat))</span></div>
<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<matRef.size(); i++)</div>
<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  tr += real(matRef[i][i]);</div>
<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  <span class="comment">// (get real, since we start in a non-Hermitian state, hence diagonal isn't real)</span></div>
<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  </div>
<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(mat, targs, paulis, numTargs, matWork);</div>
<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  REQUIRE( res == Approx(tr).margin(10*REAL_EPS) );</div>
<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  }</div>
<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  }</div>
<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  SECTION( <span class="stringliteral">"validation"</span> ) {</div>
<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  </div>
<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  SECTION( <span class="stringliteral">"number of targets"</span> ) {</div>
<div class="line"><a name="l00188"></a><span class="lineno"> 188</span>  </div>
<div class="line"><a name="l00189"></a><span class="lineno"> 189</span>  <span class="keywordtype">int</span> numTargs = GENERATE( -1, 0, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>+1 );</div>
<div class="line"><a name="l00190"></a><span class="lineno"> 190</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, NULL, NULL, numTargs, vecWork), Contains(<span class="stringliteral">"Invalid number of target"</span>) );</div>
<div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  }</div>
<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  SECTION( <span class="stringliteral">"target indices"</span> ) {</div>
<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  </div>
<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <span class="keywordtype">int</span> numTargs = 3;</div>
<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  <span class="keywordtype">int</span> targs[3] = {0, 1, 2};</div>
<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  </div>
<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  <span class="comment">// make one index wrong</span></div>
<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  targs[GENERATE( range(0,3) )] = GENERATE( -1, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, targs, NULL, numTargs, vecWork), Contains(<span class="stringliteral">"Invalid target qubit"</span>) );</div>
<div class="line"><a name="l00200"></a><span class="lineno"> 200</span>  }</div>
<div class="line"><a name="l00201"></a><span class="lineno"> 201</span>  SECTION( <span class="stringliteral">"repetition in targets"</span> ) {</div>
<div class="line"><a name="l00202"></a><span class="lineno"> 202</span>  </div>
<div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  <span class="keywordtype">int</span> numTargs = 3;</div>
<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keywordtype">int</span> targs[3] = {0, 1, 1};</div>
<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, targs, NULL, numTargs, vecWork), Contains(<span class="stringliteral">"target qubits must be unique"</span>) );</div>
<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  }</div>
<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  SECTION( <span class="stringliteral">"pauli codes"</span> ) {</div>
<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  </div>
<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keywordtype">int</span> numTargs = 3;</div>
<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  <span class="keywordtype">int</span> targs[3] = {0, 1, 2};</div>
<div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> codes[3] = {<a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a7abac7bb5b71e17382014c443244ad5c">PAULI_X</a>, <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a2c64a9aaee27f6bcfef894d159e759bd">PAULI_Y</a>, <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a085c85cff6ba79c52d8b1e61c42ddddf">PAULI_Z</a>};</div>
<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  </div>
<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="comment">// make one pauli wrong</span></div>
<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  codes[GENERATE( range(0,3) )] = (<a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a>) GENERATE( -1, 4 );</div>
<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, targs, codes, numTargs, vecWork), Contains(<span class="stringliteral">"Invalid Pauli code"</span>) );</div>
<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  }</div>
<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  SECTION( <span class="stringliteral">"workspace type"</span> ) {</div>
<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  </div>
<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="keywordtype">int</span> numTargs = 1;</div>
<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keywordtype">int</span> targs[1] = {0};</div>
<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> codes[1] = {<a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a>};</div>
<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  </div>
<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, targs, codes, numTargs, matWork), Contains(<span class="stringliteral">"Registers must both be state-vectors or both be density matrices"</span>) );</div>
<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(mat, targs, codes, numTargs, vecWork), Contains(<span class="stringliteral">"Registers must both be state-vectors or both be density matrices"</span>) );</div>
<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  }</div>
<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  SECTION( <span class="stringliteral">"workspace dimensions"</span> ) {</div>
<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  </div>
<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordtype">int</span> numTargs = 1;</div>
<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <span class="keywordtype">int</span> targs[1] = {0};</div>
<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> codes[1] = {<a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a>};</div>
<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  </div>
<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <a class="code" href="structQureg.html">Qureg</a> vec2 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(vec, targs, codes, numTargs, vec2), Contains(<span class="stringliteral">"Dimensions"</span>) && Contains(<span class="stringliteral">"don't match"</span>) );</div>
<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  </div>
<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  <a class="code" href="structQureg.html">Qureg</a> mat2 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a>(mat, targs, codes, numTargs, mat2), Contains(<span class="stringliteral">"Dimensions"</span>) && Contains(<span class="stringliteral">"don't match"</span>) );</div>
<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00239"></a><span class="lineno"> 239</span>  }</div>
<div class="line"><a name="l00240"></a><span class="lineno"> 240</span>  }</div>
<div class="line"><a name="l00241"></a><span class="lineno"> 241</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vecWork, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(matWork, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> }</div>
<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  </div>
<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  </div>
<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  </div>
<div class="line"><a name="l00253"></a><span class="lineno"><a class="line" href="group__unittest.html#ga919ee8725c30d7378532714b70cfb389"> 253</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"calcExpecPauliSum"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  </div>
<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(mat);</div>
<div class="line"><a name="l00259"></a><span class="lineno"> 259</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> vecRef = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l00260"></a><span class="lineno"> 260</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matRef = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(mat);</div>
<div class="line"><a name="l00261"></a><span class="lineno"> 261</span>  </div>
<div class="line"><a name="l00262"></a><span class="lineno"> 262</span>  <a class="code" href="structQureg.html">Qureg</a> vecWork = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00263"></a><span class="lineno"> 263</span>  <a class="code" href="structQureg.html">Qureg</a> matWork = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00264"></a><span class="lineno"> 264</span>  </div>
<div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  </div>
<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="keywordtype">int</span> numSumTerms = GENERATE( 1, 2, 10, 15 );</div>
<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  </div>
<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="comment">/* it's too expensive to try every possible Pauli configuration, so</span></div>
<div class="line"><a name="l00270"></a><span class="lineno"> 270</span> <span class="comment"> * we'll try 10 random codes, and for each, random coefficients</span></div>
<div class="line"><a name="l00271"></a><span class="lineno"> 271</span> <span class="comment"> */</span></div>
<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  GENERATE( range(0,10) );</div>
<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="keywordtype">int</span> totNumCodes = numSumTerms*<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>;</div>
<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> paulis[totNumCodes];</div>
<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<totNumCodes; i++)</div>
<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  paulis[i] = (<a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a>) <a class="code" href="group__testutilities.html#ga7125d0747a44db58115899727ac5f6be">getRandomInt</a>(0,4);</div>
<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  </div>
<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <span class="comment">// for every above param configuration, try random coefficients</span></div>
<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> coeffs[numSumTerms];</div>
<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<numSumTerms; i++)</div>
<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  coeffs[i] = <a class="code" href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a>(-5, 5);</div>
<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  </div>
<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="comment">// produce a numTargs-big matrix 'pauliSum' by pauli-matrix tensoring and summing</span></div>
<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> iMatr{{1,0},{0,1}};</div>
<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> xMatr{{0,1},{1,0}};</div>
<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> yMatr{{0,-1i},{1i,0}};</div>
<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> zMatr{{1,0},{0,-1}};</div>
<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> pauliSum = <a class="code" href="group__testutilities.html#ga6ccbb15b0f234e926be96a153181b63a">getZeroMatrix</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  </div>
<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> t=0; t<numSumTerms; t++) {</div>
<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> pauliProd = <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a>{{1}};</div>
<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  </div>
<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> q=0; q<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>; q++) {</div>
<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <span class="keywordtype">int</span> i = q + t*<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>;</div>
<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  </div>
<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> fac;</div>
<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="keywordflow">if</span> (paulis[i] == <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a>) fac = iMatr;</div>
<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="keywordflow">if</span> (paulis[i] == <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a7abac7bb5b71e17382014c443244ad5c">PAULI_X</a>) fac = xMatr;</div>
<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="keywordflow">if</span> (paulis[i] == <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a2c64a9aaee27f6bcfef894d159e759bd">PAULI_Y</a>) fac = yMatr;</div>
<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="keywordflow">if</span> (paulis[i] == <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a085c85cff6ba79c52d8b1e61c42ddddf">PAULI_Z</a>) fac = zMatr;</div>
<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  pauliProd = <a class="code" href="group__testutilities.html#ga50616e813b0d0aa4f8220785d780cdff">getKroneckerProduct</a>(fac, pauliProd);</div>
<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  }</div>
<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  pauliSum += coeffs[t] * pauliProd;</div>
<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  }</div>
<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  </div>
<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <span class="comment">/* calcExpecPauliSum calculates <qureg|pauliSum|qureg> */</span></div>
<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  </div>
<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> sumRef = pauliSum * vecRef;</div>
<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> prod = 0;</div>
<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<vecRef.size(); i++)</div>
<div class="line"><a name="l00312"></a><span class="lineno"> 312</span>  prod += conj(vecRef[i]) * sumRef[i];</div>
<div class="line"><a name="l00313"></a><span class="lineno"> 313</span>  REQUIRE( imag(prod) == Approx(0).margin(10*REAL_EPS) );</div>
<div class="line"><a name="l00314"></a><span class="lineno"> 314</span>  </div>
<div class="line"><a name="l00315"></a><span class="lineno"> 315</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(vec, paulis, coeffs, numSumTerms, vecWork);</div>
<div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  REQUIRE( res == Approx(real(prod)).margin(10*REAL_EPS) );</div>
<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  } </div>
<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  SECTION( <span class="stringliteral">"density matrix"</span> ) {</div>
<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  </div>
<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  <span class="comment">/* calcExpecPauliSum calculates Trace( pauliSum * qureg ) */</span></div>
<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  matRef = pauliSum * matRef; </div>
<div class="line"><a name="l00322"></a><span class="lineno"> 322</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00323"></a><span class="lineno"> 323</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<matRef.size(); i++)</div>
<div class="line"><a name="l00324"></a><span class="lineno"> 324</span>  tr += real(matRef[i][i]);</div>
<div class="line"><a name="l00325"></a><span class="lineno"> 325</span>  <span class="comment">// (get real, since we start in a non-Hermitian state, hence diagonal isn't real)</span></div>
<div class="line"><a name="l00326"></a><span class="lineno"> 326</span>  </div>
<div class="line"><a name="l00327"></a><span class="lineno"> 327</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(mat, paulis, coeffs, numSumTerms, matWork);</div>
<div class="line"><a name="l00328"></a><span class="lineno"> 328</span>  REQUIRE( res == Approx(tr).margin(1E2*REAL_EPS) );</div>
<div class="line"><a name="l00329"></a><span class="lineno"> 329</span>  }</div>
<div class="line"><a name="l00330"></a><span class="lineno"> 330</span>  }</div>
<div class="line"><a name="l00331"></a><span class="lineno"> 331</span>  SECTION( <span class="stringliteral">"validation"</span> ) {</div>
<div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  </div>
<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  SECTION( <span class="stringliteral">"number of sum terms"</span> ) {</div>
<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  </div>
<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  <span class="keywordtype">int</span> numSumTerms = GENERATE( -1, 0 );</div>
<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(vec, NULL, NULL, numSumTerms, vecWork), Contains(<span class="stringliteral">"Invalid number of terms in the Pauli sum"</span>) );</div>
<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  }</div>
<div class="line"><a name="l00338"></a><span class="lineno"> 338</span>  SECTION( <span class="stringliteral">"pauli codes"</span> ) {</div>
<div class="line"><a name="l00339"></a><span class="lineno"> 339</span>  </div>
<div class="line"><a name="l00340"></a><span class="lineno"> 340</span>  <span class="comment">// make valid params</span></div>
<div class="line"><a name="l00341"></a><span class="lineno"> 341</span>  <span class="keywordtype">int</span> numSumTerms = 3;</div>
<div class="line"><a name="l00342"></a><span class="lineno"> 342</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> coeffs[numSumTerms];</div>
<div class="line"><a name="l00343"></a><span class="lineno"> 343</span>  <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> codes[numSumTerms*<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>];</div>
<div class="line"><a name="l00344"></a><span class="lineno"> 344</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<numSumTerms*<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>; i++)</div>
<div class="line"><a name="l00345"></a><span class="lineno"> 345</span>  codes[i] = <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a>;</div>
<div class="line"><a name="l00346"></a><span class="lineno"> 346</span>  </div>
<div class="line"><a name="l00347"></a><span class="lineno"> 347</span>  <span class="comment">// make one pauli wrong</span></div>
<div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  codes[GENERATE_COPY( range(0,numSumTerms*<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) )] = (<a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a>) GENERATE( -1, 4 );</div>
<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(vec, codes, coeffs, numSumTerms, vecWork), Contains(<span class="stringliteral">"Invalid Pauli code"</span>) );</div>
<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  }</div>
<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  SECTION( <span class="stringliteral">"workspace type"</span> ) {</div>
<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  </div>
<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <span class="comment">// make valid params</span></div>
<div class="line"><a name="l00354"></a><span class="lineno"> 354</span>  <span class="keywordtype">int</span> numSumTerms = 1;</div>
<div class="line"><a name="l00355"></a><span class="lineno"> 355</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> coeffs[1] = {0};</div>
<div class="line"><a name="l00356"></a><span class="lineno"> 356</span>  <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> codes[<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>];</div>
<div class="line"><a name="l00357"></a><span class="lineno"> 357</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>; i++)</div>
<div class="line"><a name="l00358"></a><span class="lineno"> 358</span>  codes[i] = <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a>;</div>
<div class="line"><a name="l00359"></a><span class="lineno"> 359</span>  </div>
<div class="line"><a name="l00360"></a><span class="lineno"> 360</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(vec, codes, coeffs, numSumTerms, mat), Contains(<span class="stringliteral">"Registers must both be state-vectors or both be density matrices"</span>) );</div>
<div class="line"><a name="l00361"></a><span class="lineno"> 361</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(mat, codes, coeffs, numSumTerms, vec), Contains(<span class="stringliteral">"Registers must both be state-vectors or both be density matrices"</span>) );</div>
<div class="line"><a name="l00362"></a><span class="lineno"> 362</span>  }</div>
<div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  SECTION( <span class="stringliteral">"workspace dimensions"</span> ) {</div>
<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  </div>
<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <span class="comment">// make valid params</span></div>
<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="keywordtype">int</span> numSumTerms = 1;</div>
<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> coeffs[1] = {0};</div>
<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <a class="code" href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a> codes[<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>];</div>
<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i=0; i<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>; i++)</div>
<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  codes[i] = <a class="code" href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a>;</div>
<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  </div>
<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  <a class="code" href="structQureg.html">Qureg</a> vec2 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(vec, codes, coeffs, numSumTerms, vec2), Contains(<span class="stringliteral">"Dimensions"</span>) && Contains(<span class="stringliteral">"don't match"</span>) );</div>
<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  </div>
<div class="line"><a name="l00376"></a><span class="lineno"> 376</span>  <a class="code" href="structQureg.html">Qureg</a> mat2 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00377"></a><span class="lineno"> 377</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a>(mat, codes, coeffs, numSumTerms, mat2), Contains(<span class="stringliteral">"Dimensions"</span>) && Contains(<span class="stringliteral">"don't match"</span>) );</div>
<div class="line"><a name="l00378"></a><span class="lineno"> 378</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00379"></a><span class="lineno"> 379</span>  }</div>
<div class="line"><a name="l00380"></a><span class="lineno"> 380</span>  }</div>
<div class="line"><a name="l00381"></a><span class="lineno"> 381</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00382"></a><span class="lineno"> 382</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00383"></a><span class="lineno"> 383</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vecWork, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00384"></a><span class="lineno"> 384</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(matWork, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00385"></a><span class="lineno"> 385</span> }</div>
<div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  </div>
<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  </div>
<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  </div>
<div class="line"><a name="l00393"></a><span class="lineno"><a class="line" href="group__unittest.html#gaceb52fe2677e119547d5b5e0f2f202fb"> 393</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"calcFidelity"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  </div>
<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  <a class="code" href="structQureg.html">Qureg</a> pure = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  </div>
<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l00400"></a><span class="lineno"> 400</span>  </div>
<div class="line"><a name="l00401"></a><span class="lineno"> 401</span>  <span class="comment">// repeat the below random tests 10 times </span></div>
<div class="line"><a name="l00402"></a><span class="lineno"> 402</span>  GENERATE( range(0,10) );</div>
<div class="line"><a name="l00403"></a><span class="lineno"> 403</span>  </div>
<div class="line"><a name="l00404"></a><span class="lineno"> 404</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l00405"></a><span class="lineno"> 405</span>  </div>
<div class="line"><a name="l00406"></a><span class="lineno"> 406</span>  <span class="comment">/* calcFidelity computes |<vec|pure>|^2 */</span></div>
<div class="line"><a name="l00407"></a><span class="lineno"> 407</span>  </div>
<div class="line"><a name="l00408"></a><span class="lineno"> 408</span>  SECTION( <span class="stringliteral">"normalised"</span> ) {</div>
<div class="line"><a name="l00409"></a><span class="lineno"> 409</span>  </div>
<div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  <span class="comment">// random L2 vectors</span></div>
<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> vecRef = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> pureRef = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec, vecRef);</div>
<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(pure, pureRef);</div>
<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  </div>
<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <span class="comment">// |<vec|vec>|^2 = |1|^2 = 1</span></div>
<div class="line"><a name="l00417"></a><span class="lineno"> 417</span>  REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(vec,vec) == Approx(1) );</div>
<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  </div>
<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  <span class="comment">// |<vec|pure>|^2 = |sum_j conj(vec_j) * pure_j|^2</span></div>
<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> dotProd = 0;</div>
<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<vecRef.size(); i++)</div>
<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  dotProd += conj(vecRef[i]) * pureRef[i];</div>
<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> refFid = pow(abs(dotProd), 2);</div>
<div class="line"><a name="l00424"></a><span class="lineno"> 424</span>  </div>
<div class="line"><a name="l00425"></a><span class="lineno"> 425</span>  REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(vec,pure) == Approx(refFid) );</div>
<div class="line"><a name="l00426"></a><span class="lineno"> 426</span>  }</div>
<div class="line"><a name="l00427"></a><span class="lineno"> 427</span>  SECTION( <span class="stringliteral">"unnormalised"</span> ) {</div>
<div class="line"><a name="l00428"></a><span class="lineno"> 428</span>  </div>
<div class="line"><a name="l00429"></a><span class="lineno"> 429</span>  <span class="comment">// random unnormalised vectors</span></div>
<div class="line"><a name="l00430"></a><span class="lineno"> 430</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> vecRef = <a class="code" href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00431"></a><span class="lineno"> 431</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> pureRef = <a class="code" href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00432"></a><span class="lineno"> 432</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec, vecRef);</div>
<div class="line"><a name="l00433"></a><span class="lineno"> 433</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(pure, pureRef);</div>
<div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  </div>
<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  <span class="comment">// Let nv be magnitude of vec, hence |unit-vec> = 1/sqrt(nv)|vec></span></div>
<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> nv = 0;</div>
<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<vecRef.size(); i++)</div>
<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  nv += pow(abs(vecRef[i]), 2);</div>
<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  <span class="comment">// then <vec|vec> = sqrt(nv)*sqrt(nv) <unit-vec|unit-vec> = nv,</span></div>
<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <span class="comment">// hence |<vec|vec>|^2 = nv*nv</span></div>
<div class="line"><a name="l00441"></a><span class="lineno"> 441</span>  REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(vec,vec) == Approx( nv*nv ) );</div>
<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  </div>
<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> dotProd = 0;</div>
<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<vecRef.size(); i++)</div>
<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  dotProd += conj(vecRef[i]) * pureRef[i];</div>
<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> refFid = pow(abs(dotProd), 2);</div>
<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  </div>
<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(vec,pure) == Approx(refFid) ); </div>
<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  }</div>
<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  }</div>
<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  </div>
<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  <span class="comment">/* calcFidelity computes <pure|mat|pure> */</span></div>
<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  </div>
<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  SECTION( <span class="stringliteral">"pure"</span> ) {</div>
<div class="line"><a name="l00456"></a><span class="lineno"> 456</span>  </div>
<div class="line"><a name="l00457"></a><span class="lineno"> 457</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> pureRef = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00458"></a><span class="lineno"> 458</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(pure, pureRef);</div>
<div class="line"><a name="l00459"></a><span class="lineno"> 459</span>  </div>
<div class="line"><a name="l00460"></a><span class="lineno"> 460</span>  <span class="comment">// test when density matrix is the same pure state </span></div>
<div class="line"><a name="l00461"></a><span class="lineno"> 461</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matRef = <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(pureRef, pureRef);</div>
<div class="line"><a name="l00462"></a><span class="lineno"> 462</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, matRef);</div>
<div class="line"><a name="l00463"></a><span class="lineno"> 463</span>  REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(mat,pure) == Approx(1) ); </div>
<div class="line"><a name="l00464"></a><span class="lineno"> 464</span>  </div>
<div class="line"><a name="l00465"></a><span class="lineno"> 465</span>  <span class="comment">// test when density matrix is a random pure state</span></div>
<div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r1 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  matRef = <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(r1, r1); <span class="comment">// actually pure |r1><r1|</span></div>
<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, matRef);</div>
<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  </div>
<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  <span class="comment">// <pure|r1><r1|pure> = |<r1|pure>|^2 = |sum_j conj(r1_j) * pure_j|^2</span></div>
<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> dotProd = 0;</div>
<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<r1.size(); i++)</div>
<div class="line"><a name="l00473"></a><span class="lineno"> 473</span>  dotProd += conj(r1[i]) * pureRef[i];</div>
<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> refFid = pow(abs(dotProd), 2);</div>
<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  </div>
<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(mat,pure) == Approx(refFid) ); </div>
<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  }</div>
<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  SECTION( <span class="stringliteral">"mixed"</span> ) {</div>
<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  </div>
<div class="line"><a name="l00480"></a><span class="lineno"> 480</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> pureRef = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00481"></a><span class="lineno"> 481</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(pure, pureRef);</div>
<div class="line"><a name="l00482"></a><span class="lineno"> 482</span>  </div>
<div class="line"><a name="l00483"></a><span class="lineno"> 483</span>  <span class="comment">// test when density matrix is mixed </span></div>
<div class="line"><a name="l00484"></a><span class="lineno"> 484</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matRef = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00485"></a><span class="lineno"> 485</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, matRef);</div>
<div class="line"><a name="l00486"></a><span class="lineno"> 486</span>  </div>
<div class="line"><a name="l00487"></a><span class="lineno"> 487</span>  <span class="comment">// <pure|mat|pure> = <pure| (Mat|pure>)</span></div>
<div class="line"><a name="l00488"></a><span class="lineno"> 488</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> rhs = matRef * pureRef;</div>
<div class="line"><a name="l00489"></a><span class="lineno"> 489</span>  <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> dotProd = 0;</div>
<div class="line"><a name="l00490"></a><span class="lineno"> 490</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<rhs.size(); i++)</div>
<div class="line"><a name="l00491"></a><span class="lineno"> 491</span>  dotProd += conj(pureRef[i]) * rhs[i];</div>
<div class="line"><a name="l00492"></a><span class="lineno"> 492</span>  </div>
<div class="line"><a name="l00493"></a><span class="lineno"> 493</span>  REQUIRE( imag(dotProd) == Approx(0).margin(REAL_EPS) );</div>
<div class="line"><a name="l00494"></a><span class="lineno"> 494</span>  REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(mat,pure) == Approx(real(dotProd)) );</div>
<div class="line"><a name="l00495"></a><span class="lineno"> 495</span>  }</div>
<div class="line"><a name="l00496"></a><span class="lineno"> 496</span>  SECTION( <span class="stringliteral">"unnormalised"</span> ) {</div>
<div class="line"><a name="l00497"></a><span class="lineno"> 497</span>  </div>
<div class="line"><a name="l00498"></a><span class="lineno"> 498</span>  <span class="comment">// test when both density matrix and pure state are unnormalised</span></div>
<div class="line"><a name="l00499"></a><span class="lineno"> 499</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> pureRef = <a class="code" href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00500"></a><span class="lineno"> 500</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> matRef = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00501"></a><span class="lineno"> 501</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(pure, pureRef);</div>
<div class="line"><a name="l00502"></a><span class="lineno"> 502</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, matRef);</div>
<div class="line"><a name="l00503"></a><span class="lineno"> 503</span>  </div>
<div class="line"><a name="l00504"></a><span class="lineno"> 504</span>  <span class="comment">// real[ <pure|mat|pure> ] = real[ <pure| (Mat|pure>) ]</span></div>
<div class="line"><a name="l00505"></a><span class="lineno"> 505</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> rhs = matRef * pureRef;</div>
<div class="line"><a name="l00506"></a><span class="lineno"> 506</span>  <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> dotProd = 0;</div>
<div class="line"><a name="l00507"></a><span class="lineno"> 507</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<rhs.size(); i++)</div>
<div class="line"><a name="l00508"></a><span class="lineno"> 508</span>  dotProd += conj(pureRef[i]) * rhs[i];</div>
<div class="line"><a name="l00509"></a><span class="lineno"> 509</span>  </div>
<div class="line"><a name="l00510"></a><span class="lineno"> 510</span>  REQUIRE( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(mat,pure) == Approx(real(dotProd)) );</div>
<div class="line"><a name="l00511"></a><span class="lineno"> 511</span>  }</div>
<div class="line"><a name="l00512"></a><span class="lineno"> 512</span>  }</div>
<div class="line"><a name="l00513"></a><span class="lineno"> 513</span>  }</div>
<div class="line"><a name="l00514"></a><span class="lineno"> 514</span>  SECTION( <span class="stringliteral">"input validation"</span> ) {</div>
<div class="line"><a name="l00515"></a><span class="lineno"> 515</span>  </div>
<div class="line"><a name="l00516"></a><span class="lineno"> 516</span>  SECTION( <span class="stringliteral">"dimensions"</span> ) {</div>
<div class="line"><a name="l00517"></a><span class="lineno"> 517</span>  </div>
<div class="line"><a name="l00518"></a><span class="lineno"> 518</span>  <span class="comment">// two state-vectors</span></div>
<div class="line"><a name="l00519"></a><span class="lineno"> 519</span>  <a class="code" href="structQureg.html">Qureg</a> vec2 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(vec.<a class="code" href="structQureg.html#ad08dff5316b8937f4b2a1417591543dc">numQubitsRepresented</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00520"></a><span class="lineno"> 520</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(vec2,vec), Contains(<span class="stringliteral">"Dimensions"</span>) && Contains(<span class="stringliteral">"don't match"</span>) );</div>
<div class="line"><a name="l00521"></a><span class="lineno"> 521</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00522"></a><span class="lineno"> 522</span>  </div>
<div class="line"><a name="l00523"></a><span class="lineno"> 523</span>  <span class="comment">// density-matrix and state-vector</span></div>
<div class="line"><a name="l00524"></a><span class="lineno"> 524</span>  <a class="code" href="structQureg.html">Qureg</a> mat2 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(vec.<a class="code" href="structQureg.html#ad08dff5316b8937f4b2a1417591543dc">numQubitsRepresented</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00525"></a><span class="lineno"> 525</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(mat2,vec), Contains(<span class="stringliteral">"Dimensions"</span>) && Contains(<span class="stringliteral">"don't match"</span>) );</div>
<div class="line"><a name="l00526"></a><span class="lineno"> 526</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00527"></a><span class="lineno"> 527</span>  }</div>
<div class="line"><a name="l00528"></a><span class="lineno"> 528</span>  SECTION( <span class="stringliteral">"density-matrices"</span> ) {</div>
<div class="line"><a name="l00529"></a><span class="lineno"> 529</span>  </div>
<div class="line"><a name="l00530"></a><span class="lineno"> 530</span>  <span class="comment">// two mixed statess</span></div>
<div class="line"><a name="l00531"></a><span class="lineno"> 531</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a>(mat,mat), Contains(<span class="stringliteral">"Second argument must be a state-vector"</span>) );</div>
<div class="line"><a name="l00532"></a><span class="lineno"> 532</span>  }</div>
<div class="line"><a name="l00533"></a><span class="lineno"> 533</span>  }</div>
<div class="line"><a name="l00534"></a><span class="lineno"> 534</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00535"></a><span class="lineno"> 535</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00536"></a><span class="lineno"> 536</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(pure, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00537"></a><span class="lineno"> 537</span> }</div>
<div class="line"><a name="l00538"></a><span class="lineno"> 538</span>  </div>
<div class="line"><a name="l00539"></a><span class="lineno"> 539</span>  </div>
<div class="line"><a name="l00540"></a><span class="lineno"> 540</span>  </div>
<div class="line"><a name="l00545"></a><span class="lineno"><a class="line" href="group__unittest.html#ga769a51547f263527bf27bbbcb51014a8"> 545</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"calcHilbertSchmidtDistance"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l00546"></a><span class="lineno"> 546</span>  </div>
<div class="line"><a name="l00547"></a><span class="lineno"> 547</span>  <a class="code" href="structQureg.html">Qureg</a> mat1 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00548"></a><span class="lineno"> 548</span>  <a class="code" href="structQureg.html">Qureg</a> mat2 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00549"></a><span class="lineno"> 549</span>  </div>
<div class="line"><a name="l00550"></a><span class="lineno"> 550</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l00551"></a><span class="lineno"> 551</span>  </div>
<div class="line"><a name="l00552"></a><span class="lineno"> 552</span>  <span class="comment">// perform these random tests 10 times </span></div>
<div class="line"><a name="l00553"></a><span class="lineno"> 553</span>  GENERATE( range(0,10) );</div>
<div class="line"><a name="l00554"></a><span class="lineno"> 554</span>  </div>
<div class="line"><a name="l00555"></a><span class="lineno"> 555</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l00556"></a><span class="lineno"> 556</span>  </div>
<div class="line"><a name="l00557"></a><span class="lineno"> 557</span>  SECTION( <span class="stringliteral">"pure"</span> ) {</div>
<div class="line"><a name="l00558"></a><span class="lineno"> 558</span>  </div>
<div class="line"><a name="l00559"></a><span class="lineno"> 559</span>  <span class="comment">// create random |r1><r1| and |r2><r2| states</span></div>
<div class="line"><a name="l00560"></a><span class="lineno"> 560</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r1 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00561"></a><span class="lineno"> 561</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> m1 = <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(r1,r1);</div>
<div class="line"><a name="l00562"></a><span class="lineno"> 562</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat1, m1);</div>
<div class="line"><a name="l00563"></a><span class="lineno"> 563</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r2 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00564"></a><span class="lineno"> 564</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> m2 = <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(r2,r2);</div>
<div class="line"><a name="l00565"></a><span class="lineno"> 565</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat2, m2);</div>
<div class="line"><a name="l00566"></a><span class="lineno"> 566</span>  </div>
<div class="line"><a name="l00567"></a><span class="lineno"> 567</span>  <span class="comment">// Tr{ (a-b)(a-b)^dagger } = sum_{ij} |a_{ij} - b_{ij}|^2</span></div>
<div class="line"><a name="l00568"></a><span class="lineno"> 568</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00569"></a><span class="lineno"> 569</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<m1.size(); i++)</div>
<div class="line"><a name="l00570"></a><span class="lineno"> 570</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j=0; j<m1.size(); j++)</div>
<div class="line"><a name="l00571"></a><span class="lineno"> 571</span>  tr += pow(abs(m1[i][j] - m2[i][j]), 2);</div>
<div class="line"><a name="l00572"></a><span class="lineno"> 572</span>  </div>
<div class="line"><a name="l00573"></a><span class="lineno"> 573</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(mat1, mat2);</div>
<div class="line"><a name="l00574"></a><span class="lineno"> 574</span>  REQUIRE( res == Approx(sqrt(tr)) );</div>
<div class="line"><a name="l00575"></a><span class="lineno"> 575</span>  </div>
<div class="line"><a name="l00576"></a><span class="lineno"> 576</span>  }</div>
<div class="line"><a name="l00577"></a><span class="lineno"> 577</span>  SECTION( <span class="stringliteral">"normalised"</span> ) {</div>
<div class="line"><a name="l00578"></a><span class="lineno"> 578</span>  </div>
<div class="line"><a name="l00579"></a><span class="lineno"> 579</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref1 = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00580"></a><span class="lineno"> 580</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref2 = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00581"></a><span class="lineno"> 581</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat1, ref1);</div>
<div class="line"><a name="l00582"></a><span class="lineno"> 582</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat2, ref2);</div>
<div class="line"><a name="l00583"></a><span class="lineno"> 583</span>  </div>
<div class="line"><a name="l00584"></a><span class="lineno"> 584</span>  <span class="comment">// Tr{ (a-b)(a-b)^dagger } = sum_{ij} |a_{ij} - b_{ij}|^2</span></div>
<div class="line"><a name="l00585"></a><span class="lineno"> 585</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00586"></a><span class="lineno"> 586</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<ref1.size(); i++)</div>
<div class="line"><a name="l00587"></a><span class="lineno"> 587</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j=0; j<ref1.size(); j++)</div>
<div class="line"><a name="l00588"></a><span class="lineno"> 588</span>  tr += pow(abs(ref1[i][j] - ref2[i][j]), 2);</div>
<div class="line"><a name="l00589"></a><span class="lineno"> 589</span>  </div>
<div class="line"><a name="l00590"></a><span class="lineno"> 590</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(mat1, mat2);</div>
<div class="line"><a name="l00591"></a><span class="lineno"> 591</span>  REQUIRE( res == Approx(sqrt(tr)) );</div>
<div class="line"><a name="l00592"></a><span class="lineno"> 592</span>  }</div>
<div class="line"><a name="l00593"></a><span class="lineno"> 593</span>  SECTION( <span class="stringliteral">"unnormalised"</span> ) {</div>
<div class="line"><a name="l00594"></a><span class="lineno"> 594</span>  </div>
<div class="line"><a name="l00595"></a><span class="lineno"> 595</span>  <span class="comment">// mat1 and mat2 are both random matrices</span></div>
<div class="line"><a name="l00596"></a><span class="lineno"> 596</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref1 = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00597"></a><span class="lineno"> 597</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref2 = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00598"></a><span class="lineno"> 598</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat1, ref1);</div>
<div class="line"><a name="l00599"></a><span class="lineno"> 599</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat2, ref2);</div>
<div class="line"><a name="l00600"></a><span class="lineno"> 600</span>  </div>
<div class="line"><a name="l00601"></a><span class="lineno"> 601</span>  <span class="comment">// Tr{ (a-b)(a-b)^dagger } = sum_{ij} |a_{ij} - b_{ij}|^2</span></div>
<div class="line"><a name="l00602"></a><span class="lineno"> 602</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00603"></a><span class="lineno"> 603</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<ref1.size(); i++)</div>
<div class="line"><a name="l00604"></a><span class="lineno"> 604</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j=0; j<ref1.size(); j++)</div>
<div class="line"><a name="l00605"></a><span class="lineno"> 605</span>  tr += pow(abs(ref1[i][j] - ref2[i][j]), 2);</div>
<div class="line"><a name="l00606"></a><span class="lineno"> 606</span>  </div>
<div class="line"><a name="l00607"></a><span class="lineno"> 607</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> res = <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(mat1, mat2);</div>
<div class="line"><a name="l00608"></a><span class="lineno"> 608</span>  REQUIRE( res == Approx(sqrt(tr)) );</div>
<div class="line"><a name="l00609"></a><span class="lineno"> 609</span>  }</div>
<div class="line"><a name="l00610"></a><span class="lineno"> 610</span>  }</div>
<div class="line"><a name="l00611"></a><span class="lineno"> 611</span>  }</div>
<div class="line"><a name="l00612"></a><span class="lineno"> 612</span>  SECTION( <span class="stringliteral">"input validation"</span>) {</div>
<div class="line"><a name="l00613"></a><span class="lineno"> 613</span>  </div>
<div class="line"><a name="l00614"></a><span class="lineno"> 614</span>  SECTION( <span class="stringliteral">"dimensions"</span> ) {</div>
<div class="line"><a name="l00615"></a><span class="lineno"> 615</span>  </div>
<div class="line"><a name="l00616"></a><span class="lineno"> 616</span>  <a class="code" href="structQureg.html">Qureg</a> mat3 = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00617"></a><span class="lineno"> 617</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(mat1,mat3), Contains(<span class="stringliteral">"Dimensions"</span>) && Contains(<span class="stringliteral">"don't match"</span>) );</div>
<div class="line"><a name="l00618"></a><span class="lineno"> 618</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat3, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00619"></a><span class="lineno"> 619</span>  }</div>
<div class="line"><a name="l00620"></a><span class="lineno"> 620</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l00621"></a><span class="lineno"> 621</span>  </div>
<div class="line"><a name="l00622"></a><span class="lineno"> 622</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00623"></a><span class="lineno"> 623</span>  </div>
<div class="line"><a name="l00624"></a><span class="lineno"> 624</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(vec,mat1), Contains(<span class="stringliteral">"valid only for density matrices"</span>) );</div>
<div class="line"><a name="l00625"></a><span class="lineno"> 625</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(mat1,vec), Contains(<span class="stringliteral">"valid only for density matrices"</span>) );</div>
<div class="line"><a name="l00626"></a><span class="lineno"> 626</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a>(vec,vec), Contains(<span class="stringliteral">"valid only for density matrices"</span>) );</div>
<div class="line"><a name="l00627"></a><span class="lineno"> 627</span>  </div>
<div class="line"><a name="l00628"></a><span class="lineno"> 628</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00629"></a><span class="lineno"> 629</span>  }</div>
<div class="line"><a name="l00630"></a><span class="lineno"> 630</span>  }</div>
<div class="line"><a name="l00631"></a><span class="lineno"> 631</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00632"></a><span class="lineno"> 632</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00633"></a><span class="lineno"> 633</span> }</div>
<div class="line"><a name="l00634"></a><span class="lineno"> 634</span>  </div>
<div class="line"><a name="l00635"></a><span class="lineno"> 635</span>  </div>
<div class="line"><a name="l00636"></a><span class="lineno"> 636</span>  </div>
<div class="line"><a name="l00641"></a><span class="lineno"><a class="line" href="group__unittest.html#gaf08d29f7b27caf904b748c68ff3e3372"> 641</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"calcInnerProduct"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l00642"></a><span class="lineno"> 642</span>  </div>
<div class="line"><a name="l00643"></a><span class="lineno"> 643</span>  <a class="code" href="structQureg.html">Qureg</a> vec1 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00644"></a><span class="lineno"> 644</span>  <a class="code" href="structQureg.html">Qureg</a> vec2 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00645"></a><span class="lineno"> 645</span>  </div>
<div class="line"><a name="l00646"></a><span class="lineno"> 646</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l00647"></a><span class="lineno"> 647</span>  </div>
<div class="line"><a name="l00648"></a><span class="lineno"> 648</span>  <span class="comment">// perform these random tests 10 times </span></div>
<div class="line"><a name="l00649"></a><span class="lineno"> 649</span>  GENERATE( range(0,10) );</div>
<div class="line"><a name="l00650"></a><span class="lineno"> 650</span>  </div>
<div class="line"><a name="l00651"></a><span class="lineno"> 651</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l00652"></a><span class="lineno"> 652</span>  </div>
<div class="line"><a name="l00653"></a><span class="lineno"> 653</span>  SECTION( <span class="stringliteral">"normalised"</span> ) {</div>
<div class="line"><a name="l00654"></a><span class="lineno"> 654</span>  </div>
<div class="line"><a name="l00655"></a><span class="lineno"> 655</span>  <span class="comment">// <r1|r2> = sum_j conj(r1_j) * r2_j</span></div>
<div class="line"><a name="l00656"></a><span class="lineno"> 656</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r1 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00657"></a><span class="lineno"> 657</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r2 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00658"></a><span class="lineno"> 658</span>  <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> prod = 0;</div>
<div class="line"><a name="l00659"></a><span class="lineno"> 659</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<r1.size(); i++)</div>
<div class="line"><a name="l00660"></a><span class="lineno"> 660</span>  prod += conj(r1[i]) * r2[i];</div>
<div class="line"><a name="l00661"></a><span class="lineno"> 661</span>  </div>
<div class="line"><a name="l00662"></a><span class="lineno"> 662</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec1, r1);</div>
<div class="line"><a name="l00663"></a><span class="lineno"> 663</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec2, r2);</div>
<div class="line"><a name="l00664"></a><span class="lineno"> 664</span>  <a class="code" href="structComplex.html">Complex</a> res = <a class="code" href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a>(vec1,vec2);</div>
<div class="line"><a name="l00665"></a><span class="lineno"> 665</span>  </div>
<div class="line"><a name="l00666"></a><span class="lineno"> 666</span>  REQUIRE( res.<a class="code" href="structComplex.html#ab5b2e2eca02131fc74b289a83636cbe3">real</a> == Approx(real(prod)) );</div>
<div class="line"><a name="l00667"></a><span class="lineno"> 667</span>  REQUIRE( res.<a class="code" href="structComplex.html#a84f5439aad0ef495efdd3b4c1c02d27e">imag</a> == Approx(imag(prod)) );</div>
<div class="line"><a name="l00668"></a><span class="lineno"> 668</span>  }</div>
<div class="line"><a name="l00669"></a><span class="lineno"> 669</span>  SECTION( <span class="stringliteral">"unnormalised"</span> ) {</div>
<div class="line"><a name="l00670"></a><span class="lineno"> 670</span>  </div>
<div class="line"><a name="l00671"></a><span class="lineno"> 671</span>  <span class="comment">// <r1|r2> = sum_j conj(r1_j) * r2_j</span></div>
<div class="line"><a name="l00672"></a><span class="lineno"> 672</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r1 = <a class="code" href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00673"></a><span class="lineno"> 673</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r2 = <a class="code" href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00674"></a><span class="lineno"> 674</span>  <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> prod = 0;</div>
<div class="line"><a name="l00675"></a><span class="lineno"> 675</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<r1.size(); i++)</div>
<div class="line"><a name="l00676"></a><span class="lineno"> 676</span>  prod += conj(r1[i]) * r2[i];</div>
<div class="line"><a name="l00677"></a><span class="lineno"> 677</span>  </div>
<div class="line"><a name="l00678"></a><span class="lineno"> 678</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec1, r1);</div>
<div class="line"><a name="l00679"></a><span class="lineno"> 679</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec2, r2);</div>
<div class="line"><a name="l00680"></a><span class="lineno"> 680</span>  <a class="code" href="structComplex.html">Complex</a> res = <a class="code" href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a>(vec1,vec2);</div>
<div class="line"><a name="l00681"></a><span class="lineno"> 681</span>  </div>
<div class="line"><a name="l00682"></a><span class="lineno"> 682</span>  REQUIRE( res.<a class="code" href="structComplex.html#ab5b2e2eca02131fc74b289a83636cbe3">real</a> == Approx(real(prod)) );</div>
<div class="line"><a name="l00683"></a><span class="lineno"> 683</span>  REQUIRE( res.<a class="code" href="structComplex.html#a84f5439aad0ef495efdd3b4c1c02d27e">imag</a> == Approx(imag(prod)) );</div>
<div class="line"><a name="l00684"></a><span class="lineno"> 684</span>  }</div>
<div class="line"><a name="l00685"></a><span class="lineno"> 685</span>  }</div>
<div class="line"><a name="l00686"></a><span class="lineno"> 686</span>  }</div>
<div class="line"><a name="l00687"></a><span class="lineno"> 687</span>  SECTION( <span class="stringliteral">"input validation"</span> ) {</div>
<div class="line"><a name="l00688"></a><span class="lineno"> 688</span>  </div>
<div class="line"><a name="l00689"></a><span class="lineno"> 689</span>  SECTION( <span class="stringliteral">"dimensions"</span> ) {</div>
<div class="line"><a name="l00690"></a><span class="lineno"> 690</span>  </div>
<div class="line"><a name="l00691"></a><span class="lineno"> 691</span>  <a class="code" href="structQureg.html">Qureg</a> vec3 = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> + 1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00692"></a><span class="lineno"> 692</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a>(vec1,vec3), Contains(<span class="stringliteral">"Dimensions"</span>) && Contains(<span class="stringliteral">"don't match"</span>) );</div>
<div class="line"><a name="l00693"></a><span class="lineno"> 693</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec3, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00694"></a><span class="lineno"> 694</span>  }</div>
<div class="line"><a name="l00695"></a><span class="lineno"> 695</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l00696"></a><span class="lineno"> 696</span>  </div>
<div class="line"><a name="l00697"></a><span class="lineno"> 697</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00698"></a><span class="lineno"> 698</span>  </div>
<div class="line"><a name="l00699"></a><span class="lineno"> 699</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a>(vec1,mat), Contains(<span class="stringliteral">"valid only for state-vectors"</span>) );</div>
<div class="line"><a name="l00700"></a><span class="lineno"> 700</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a>(mat,vec1), Contains(<span class="stringliteral">"valid only for state-vectors"</span>) );</div>
<div class="line"><a name="l00701"></a><span class="lineno"> 701</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a>(mat,mat), Contains(<span class="stringliteral">"valid only for state-vectors"</span>) );</div>
<div class="line"><a name="l00702"></a><span class="lineno"> 702</span>  </div>
<div class="line"><a name="l00703"></a><span class="lineno"> 703</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00704"></a><span class="lineno"> 704</span>  }</div>
<div class="line"><a name="l00705"></a><span class="lineno"> 705</span>  }</div>
<div class="line"><a name="l00706"></a><span class="lineno"> 706</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec1, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00707"></a><span class="lineno"> 707</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec2, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00708"></a><span class="lineno"> 708</span> }</div>
<div class="line"><a name="l00709"></a><span class="lineno"> 709</span>  </div>
<div class="line"><a name="l00710"></a><span class="lineno"> 710</span>  </div>
<div class="line"><a name="l00711"></a><span class="lineno"> 711</span>  </div>
<div class="line"><a name="l00716"></a><span class="lineno"><a class="line" href="group__unittest.html#ga9360d80704ffa985e33a131fc3821d9c"> 716</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"calcProbOfOutcome"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l00717"></a><span class="lineno"> 717</span>  </div>
<div class="line"><a name="l00718"></a><span class="lineno"> 718</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00719"></a><span class="lineno"> 719</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00720"></a><span class="lineno"> 720</span>  </div>
<div class="line"><a name="l00721"></a><span class="lineno"> 721</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l00722"></a><span class="lineno"> 722</span>  </div>
<div class="line"><a name="l00723"></a><span class="lineno"> 723</span>  <span class="keywordtype">int</span> target = GENERATE( range(0,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00724"></a><span class="lineno"> 724</span>  <span class="keywordtype">int</span> outcome = GENERATE( 0, 1 );</div>
<div class="line"><a name="l00725"></a><span class="lineno"> 725</span>  </div>
<div class="line"><a name="l00726"></a><span class="lineno"> 726</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l00727"></a><span class="lineno"> 727</span>  </div>
<div class="line"><a name="l00728"></a><span class="lineno"> 728</span>  SECTION( <span class="stringliteral">"normalised"</span> ) {</div>
<div class="line"><a name="l00729"></a><span class="lineno"> 729</span>  </div>
<div class="line"><a name="l00730"></a><span class="lineno"> 730</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00731"></a><span class="lineno"> 731</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec, ref);</div>
<div class="line"><a name="l00732"></a><span class="lineno"> 732</span>  </div>
<div class="line"><a name="l00733"></a><span class="lineno"> 733</span>  <span class="comment">// prob is sum of |amp|^2 of amplitudes where target bit is outcome</span></div>
<div class="line"><a name="l00734"></a><span class="lineno"> 734</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> prob = 0;</div>
<div class="line"><a name="l00735"></a><span class="lineno"> 735</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> ind=0; ind<ref.size(); ind++) {</div>
<div class="line"><a name="l00736"></a><span class="lineno"> 736</span>  <span class="keywordtype">int</span> bit = (ind >> target) & 1; <span class="comment">// target-th bit</span></div>
<div class="line"><a name="l00737"></a><span class="lineno"> 737</span>  <span class="keywordflow">if</span> (bit == outcome)</div>
<div class="line"><a name="l00738"></a><span class="lineno"> 738</span>  prob += pow(abs(ref[ind]), 2);</div>
<div class="line"><a name="l00739"></a><span class="lineno"> 739</span>  }</div>
<div class="line"><a name="l00740"></a><span class="lineno"> 740</span>  </div>
<div class="line"><a name="l00741"></a><span class="lineno"> 741</span>  REQUIRE( <a class="code" href="group__calc.html#ga2a0fbd65f42d35dcd5ae966c48826920">calcProbOfOutcome</a>(vec, target, outcome) == Approx(prob) );</div>
<div class="line"><a name="l00742"></a><span class="lineno"> 742</span>  }</div>
<div class="line"><a name="l00743"></a><span class="lineno"> 743</span>  SECTION( <span class="stringliteral">"unnormalised"</span> ) {</div>
<div class="line"><a name="l00744"></a><span class="lineno"> 744</span>  </div>
<div class="line"><a name="l00745"></a><span class="lineno"> 745</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00746"></a><span class="lineno"> 746</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec, ref);</div>
<div class="line"><a name="l00747"></a><span class="lineno"> 747</span>  </div>
<div class="line"><a name="l00748"></a><span class="lineno"> 748</span>  <span class="comment">// prob is (sum of |amp|^2 of amplitudes where target bit is zero)</span></div>
<div class="line"><a name="l00749"></a><span class="lineno"> 749</span>  <span class="comment">// or 1 - (this) if outcome == 1</span></div>
<div class="line"><a name="l00750"></a><span class="lineno"> 750</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> prob = 0;</div>
<div class="line"><a name="l00751"></a><span class="lineno"> 751</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> ind=0; ind<ref.size(); ind++) {</div>
<div class="line"><a name="l00752"></a><span class="lineno"> 752</span>  <span class="keywordtype">int</span> bit = (ind >> target) & 1; <span class="comment">// target-th bit</span></div>
<div class="line"><a name="l00753"></a><span class="lineno"> 753</span>  <span class="keywordflow">if</span> (bit == 0)</div>
<div class="line"><a name="l00754"></a><span class="lineno"> 754</span>  prob += pow(abs(ref[ind]), 2);</div>
<div class="line"><a name="l00755"></a><span class="lineno"> 755</span>  }</div>
<div class="line"><a name="l00756"></a><span class="lineno"> 756</span>  <span class="keywordflow">if</span> (outcome == 1)</div>
<div class="line"><a name="l00757"></a><span class="lineno"> 757</span>  prob = 1 - prob;</div>
<div class="line"><a name="l00758"></a><span class="lineno"> 758</span>  </div>
<div class="line"><a name="l00759"></a><span class="lineno"> 759</span>  REQUIRE( <a class="code" href="group__calc.html#ga2a0fbd65f42d35dcd5ae966c48826920">calcProbOfOutcome</a>(vec, target, outcome) == Approx(prob) );</div>
<div class="line"><a name="l00760"></a><span class="lineno"> 760</span>  }</div>
<div class="line"><a name="l00761"></a><span class="lineno"> 761</span>  }</div>
<div class="line"><a name="l00762"></a><span class="lineno"> 762</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l00763"></a><span class="lineno"> 763</span>  </div>
<div class="line"><a name="l00764"></a><span class="lineno"> 764</span>  SECTION( <span class="stringliteral">"pure"</span> ) {</div>
<div class="line"><a name="l00765"></a><span class="lineno"> 765</span>  </div>
<div class="line"><a name="l00766"></a><span class="lineno"> 766</span>  <span class="comment">// set mat to a random |r><r|</span></div>
<div class="line"><a name="l00767"></a><span class="lineno"> 767</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00768"></a><span class="lineno"> 768</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(ref, ref));</div>
<div class="line"><a name="l00769"></a><span class="lineno"> 769</span>  </div>
<div class="line"><a name="l00770"></a><span class="lineno"> 770</span>  <span class="comment">// calc prob of the state-vector</span></div>
<div class="line"><a name="l00771"></a><span class="lineno"> 771</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> prob = 0;</div>
<div class="line"><a name="l00772"></a><span class="lineno"> 772</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> ind=0; ind<ref.size(); ind++) {</div>
<div class="line"><a name="l00773"></a><span class="lineno"> 773</span>  <span class="keywordtype">int</span> bit = (ind >> target) & 1; <span class="comment">// target-th bit</span></div>
<div class="line"><a name="l00774"></a><span class="lineno"> 774</span>  <span class="keywordflow">if</span> (bit == outcome)</div>
<div class="line"><a name="l00775"></a><span class="lineno"> 775</span>  prob += pow(abs(ref[ind]), 2);</div>
<div class="line"><a name="l00776"></a><span class="lineno"> 776</span>  }</div>
<div class="line"><a name="l00777"></a><span class="lineno"> 777</span>  </div>
<div class="line"><a name="l00778"></a><span class="lineno"> 778</span>  REQUIRE( <a class="code" href="group__calc.html#ga2a0fbd65f42d35dcd5ae966c48826920">calcProbOfOutcome</a>(mat, target, outcome) == Approx(prob) );</div>
<div class="line"><a name="l00779"></a><span class="lineno"> 779</span>  }</div>
<div class="line"><a name="l00780"></a><span class="lineno"> 780</span>  SECTION( <span class="stringliteral">"mixed"</span> ) {</div>
<div class="line"><a name="l00781"></a><span class="lineno"> 781</span>  </div>
<div class="line"><a name="l00782"></a><span class="lineno"> 782</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00783"></a><span class="lineno"> 783</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, ref);</div>
<div class="line"><a name="l00784"></a><span class="lineno"> 784</span>  </div>
<div class="line"><a name="l00785"></a><span class="lineno"> 785</span>  <span class="comment">// prob is sum of diagonal amps (should be real) where target bit is outcome</span></div>
<div class="line"><a name="l00786"></a><span class="lineno"> 786</span>  <a class="code" href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a> tr = 0;</div>
<div class="line"><a name="l00787"></a><span class="lineno"> 787</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> ind=0; ind<ref.size(); ind++) {</div>
<div class="line"><a name="l00788"></a><span class="lineno"> 788</span>  <span class="keywordtype">int</span> bit = (ind >> target) & 1; <span class="comment">// target-th bit</span></div>
<div class="line"><a name="l00789"></a><span class="lineno"> 789</span>  <span class="keywordflow">if</span> (bit == outcome)</div>
<div class="line"><a name="l00790"></a><span class="lineno"> 790</span>  tr += ref[ind][ind];</div>
<div class="line"><a name="l00791"></a><span class="lineno"> 791</span>  }</div>
<div class="line"><a name="l00792"></a><span class="lineno"> 792</span>  REQUIRE( imag(tr) == Approx(0).margin(REAL_EPS) );</div>
<div class="line"><a name="l00793"></a><span class="lineno"> 793</span>  </div>
<div class="line"><a name="l00794"></a><span class="lineno"> 794</span>  REQUIRE( <a class="code" href="group__calc.html#ga2a0fbd65f42d35dcd5ae966c48826920">calcProbOfOutcome</a>(mat, target, outcome) == Approx(real(tr)) );</div>
<div class="line"><a name="l00795"></a><span class="lineno"> 795</span>  }</div>
<div class="line"><a name="l00796"></a><span class="lineno"> 796</span>  SECTION( <span class="stringliteral">"unnormalised"</span> ) {</div>
<div class="line"><a name="l00797"></a><span class="lineno"> 797</span>  </div>
<div class="line"><a name="l00798"></a><span class="lineno"> 798</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00799"></a><span class="lineno"> 799</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, ref);</div>
<div class="line"><a name="l00800"></a><span class="lineno"> 800</span>  </div>
<div class="line"><a name="l00801"></a><span class="lineno"> 801</span>  <span class="comment">// prob is (sum of real of diagonal amps where target bit is outcome)</span></div>
<div class="line"><a name="l00802"></a><span class="lineno"> 802</span>  <span class="comment">// or 1 - (this) if outcome == 1</span></div>
<div class="line"><a name="l00803"></a><span class="lineno"> 803</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00804"></a><span class="lineno"> 804</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> ind=0; ind<ref.size(); ind++) {</div>
<div class="line"><a name="l00805"></a><span class="lineno"> 805</span>  <span class="keywordtype">int</span> bit = (ind >> target) & 1; <span class="comment">// target-th bit</span></div>
<div class="line"><a name="l00806"></a><span class="lineno"> 806</span>  <span class="keywordflow">if</span> (bit == 0)</div>
<div class="line"><a name="l00807"></a><span class="lineno"> 807</span>  tr += real(ref[ind][ind]);</div>
<div class="line"><a name="l00808"></a><span class="lineno"> 808</span>  }</div>
<div class="line"><a name="l00809"></a><span class="lineno"> 809</span>  <span class="keywordflow">if</span> (outcome == 1)</div>
<div class="line"><a name="l00810"></a><span class="lineno"> 810</span>  tr = 1 - tr;</div>
<div class="line"><a name="l00811"></a><span class="lineno"> 811</span>  </div>
<div class="line"><a name="l00812"></a><span class="lineno"> 812</span>  REQUIRE( <a class="code" href="group__calc.html#ga2a0fbd65f42d35dcd5ae966c48826920">calcProbOfOutcome</a>(mat, target, outcome) == Approx(tr) );</div>
<div class="line"><a name="l00813"></a><span class="lineno"> 813</span>  }</div>
<div class="line"><a name="l00814"></a><span class="lineno"> 814</span>  }</div>
<div class="line"><a name="l00815"></a><span class="lineno"> 815</span>  }</div>
<div class="line"><a name="l00816"></a><span class="lineno"> 816</span>  SECTION( <span class="stringliteral">"validation"</span> ) {</div>
<div class="line"><a name="l00817"></a><span class="lineno"> 817</span>  </div>
<div class="line"><a name="l00818"></a><span class="lineno"> 818</span>  SECTION( <span class="stringliteral">"qubit indices"</span> ) {</div>
<div class="line"><a name="l00819"></a><span class="lineno"> 819</span>  </div>
<div class="line"><a name="l00820"></a><span class="lineno"> 820</span>  <span class="keywordtype">int</span> target = GENERATE( -1, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00821"></a><span class="lineno"> 821</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga2a0fbd65f42d35dcd5ae966c48826920">calcProbOfOutcome</a>(vec, target, 0), Contains(<span class="stringliteral">"Invalid target qubit"</span>) );</div>
<div class="line"><a name="l00822"></a><span class="lineno"> 822</span>  }</div>
<div class="line"><a name="l00823"></a><span class="lineno"> 823</span>  SECTION( <span class="stringliteral">"outcome value"</span> ) {</div>
<div class="line"><a name="l00824"></a><span class="lineno"> 824</span>  </div>
<div class="line"><a name="l00825"></a><span class="lineno"> 825</span>  <span class="keywordtype">int</span> outcome = GENERATE( -1, 2 );</div>
<div class="line"><a name="l00826"></a><span class="lineno"> 826</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga2a0fbd65f42d35dcd5ae966c48826920">calcProbOfOutcome</a>(vec, 0, outcome), Contains(<span class="stringliteral">"Invalid measurement outcome"</span>) );</div>
<div class="line"><a name="l00827"></a><span class="lineno"> 827</span>  }</div>
<div class="line"><a name="l00828"></a><span class="lineno"> 828</span>  }</div>
<div class="line"><a name="l00829"></a><span class="lineno"> 829</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00830"></a><span class="lineno"> 830</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00831"></a><span class="lineno"> 831</span> }</div>
<div class="line"><a name="l00832"></a><span class="lineno"> 832</span>  </div>
<div class="line"><a name="l00833"></a><span class="lineno"> 833</span>  </div>
<div class="line"><a name="l00834"></a><span class="lineno"> 834</span>  </div>
<div class="line"><a name="l00839"></a><span class="lineno"><a class="line" href="group__unittest.html#gaf8e08b58f3e0d94166b600513224de63"> 839</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"calcPurity"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l00840"></a><span class="lineno"> 840</span>  </div>
<div class="line"><a name="l00841"></a><span class="lineno"> 841</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00842"></a><span class="lineno"> 842</span>  </div>
<div class="line"><a name="l00843"></a><span class="lineno"> 843</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l00844"></a><span class="lineno"> 844</span>  </div>
<div class="line"><a name="l00845"></a><span class="lineno"> 845</span>  <span class="comment">// perform the following random tests 10 times </span></div>
<div class="line"><a name="l00846"></a><span class="lineno"> 846</span>  GENERATE( range(1,10) );</div>
<div class="line"><a name="l00847"></a><span class="lineno"> 847</span>  </div>
<div class="line"><a name="l00848"></a><span class="lineno"> 848</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l00849"></a><span class="lineno"> 849</span>  </div>
<div class="line"><a name="l00850"></a><span class="lineno"> 850</span>  SECTION( <span class="stringliteral">"pure"</span> ) {</div>
<div class="line"><a name="l00851"></a><span class="lineno"> 851</span>  </div>
<div class="line"><a name="l00852"></a><span class="lineno"> 852</span>  <span class="comment">// pure states have unity purity </span></div>
<div class="line"><a name="l00853"></a><span class="lineno"> 853</span>  <a class="code" href="group__init.html#ga2f049055d4a51d0ea4d1a43b5234dedb">initZeroState</a>(mat);</div>
<div class="line"><a name="l00854"></a><span class="lineno"> 854</span>  REQUIRE( <a class="code" href="group__calc.html#ga683779343fb2c6055f6b1d01079c2ede">calcPurity</a>(mat) == 1 );</div>
<div class="line"><a name="l00855"></a><span class="lineno"> 855</span>  </div>
<div class="line"><a name="l00856"></a><span class="lineno"> 856</span>  <span class="comment">// (try also a pure random L2-vector)</span></div>
<div class="line"><a name="l00857"></a><span class="lineno"> 857</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> r1 = <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>); <span class="comment">// |r></span></div>
<div class="line"><a name="l00858"></a><span class="lineno"> 858</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> m1 = <a class="code" href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a>(r1, r1); <span class="comment">// |r><r|</span></div>
<div class="line"><a name="l00859"></a><span class="lineno"> 859</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, m1);</div>
<div class="line"><a name="l00860"></a><span class="lineno"> 860</span>  REQUIRE( <a class="code" href="group__calc.html#ga683779343fb2c6055f6b1d01079c2ede">calcPurity</a>(mat) == Approx(1) );</div>
<div class="line"><a name="l00861"></a><span class="lineno"> 861</span>  </div>
<div class="line"><a name="l00862"></a><span class="lineno"> 862</span>  }</div>
<div class="line"><a name="l00863"></a><span class="lineno"> 863</span>  SECTION( <span class="stringliteral">"mixed"</span> ) {</div>
<div class="line"><a name="l00864"></a><span class="lineno"> 864</span>  </div>
<div class="line"><a name="l00865"></a><span class="lineno"> 865</span>  <span class="comment">// mixed states have 1/2^N < purity < 1</span></div>
<div class="line"><a name="l00866"></a><span class="lineno"> 866</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref = <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00867"></a><span class="lineno"> 867</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, ref);</div>
<div class="line"><a name="l00868"></a><span class="lineno"> 868</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> purity = <a class="code" href="group__calc.html#ga683779343fb2c6055f6b1d01079c2ede">calcPurity</a>(mat);</div>
<div class="line"><a name="l00869"></a><span class="lineno"> 869</span>  REQUIRE( purity < 1 );</div>
<div class="line"><a name="l00870"></a><span class="lineno"> 870</span>  REQUIRE( purity >= 1/pow(2.,<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00871"></a><span class="lineno"> 871</span>  </div>
<div class="line"><a name="l00872"></a><span class="lineno"> 872</span>  <span class="comment">// compare to Tr(rho^2)</span></div>
<div class="line"><a name="l00873"></a><span class="lineno"> 873</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> prod = ref*ref;</div>
<div class="line"><a name="l00874"></a><span class="lineno"> 874</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tr = 0;</div>
<div class="line"><a name="l00875"></a><span class="lineno"> 875</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<prod.size(); i++)</div>
<div class="line"><a name="l00876"></a><span class="lineno"> 876</span>  tr += real(prod[i][i]);</div>
<div class="line"><a name="l00877"></a><span class="lineno"> 877</span>  REQUIRE( purity == Approx(tr) );</div>
<div class="line"><a name="l00878"></a><span class="lineno"> 878</span>  }</div>
<div class="line"><a name="l00879"></a><span class="lineno"> 879</span>  SECTION( <span class="stringliteral">"unnormalised"</span> ) {</div>
<div class="line"><a name="l00880"></a><span class="lineno"> 880</span>  </div>
<div class="line"><a name="l00881"></a><span class="lineno"> 881</span>  <span class="comment">// unphysical states give sum_{ij} |rho_ij|^2</span></div>
<div class="line"><a name="l00882"></a><span class="lineno"> 882</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref = <a class="code" href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a>(1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>);</div>
<div class="line"><a name="l00883"></a><span class="lineno"> 883</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> tot = 0;</div>
<div class="line"><a name="l00884"></a><span class="lineno"> 884</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<ref.size(); i++)</div>
<div class="line"><a name="l00885"></a><span class="lineno"> 885</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> j=0; j<ref.size(); j++)</div>
<div class="line"><a name="l00886"></a><span class="lineno"> 886</span>  tot += pow(abs(ref[i][j]), 2);</div>
<div class="line"><a name="l00887"></a><span class="lineno"> 887</span>  </div>
<div class="line"><a name="l00888"></a><span class="lineno"> 888</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, ref);</div>
<div class="line"><a name="l00889"></a><span class="lineno"> 889</span>  REQUIRE( <a class="code" href="group__calc.html#ga683779343fb2c6055f6b1d01079c2ede">calcPurity</a>(mat) == Approx(tot) );</div>
<div class="line"><a name="l00890"></a><span class="lineno"> 890</span>  }</div>
<div class="line"><a name="l00891"></a><span class="lineno"> 891</span>  }</div>
<div class="line"><a name="l00892"></a><span class="lineno"> 892</span>  }</div>
<div class="line"><a name="l00893"></a><span class="lineno"> 893</span>  SECTION( <span class="stringliteral">"input validation"</span> ) {</div>
<div class="line"><a name="l00894"></a><span class="lineno"> 894</span>  </div>
<div class="line"><a name="l00895"></a><span class="lineno"> 895</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l00896"></a><span class="lineno"> 896</span>  </div>
<div class="line"><a name="l00897"></a><span class="lineno"> 897</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00898"></a><span class="lineno"> 898</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga683779343fb2c6055f6b1d01079c2ede">calcPurity</a>(vec), Contains(<span class="stringliteral">"valid only for density matrices"</span>) );</div>
<div class="line"><a name="l00899"></a><span class="lineno"> 899</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00900"></a><span class="lineno"> 900</span>  }</div>
<div class="line"><a name="l00901"></a><span class="lineno"> 901</span>  }</div>
<div class="line"><a name="l00902"></a><span class="lineno"> 902</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00903"></a><span class="lineno"> 903</span> }</div>
<div class="line"><a name="l00904"></a><span class="lineno"> 904</span>  </div>
<div class="line"><a name="l00905"></a><span class="lineno"> 905</span>  </div>
<div class="line"><a name="l00906"></a><span class="lineno"> 906</span>  </div>
<div class="line"><a name="l00911"></a><span class="lineno"><a class="line" href="group__unittest.html#ga841339ebf8e009dca360aeb0fcc51acc"> 911</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"calcTotalProb"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l00912"></a><span class="lineno"> 912</span>  </div>
<div class="line"><a name="l00913"></a><span class="lineno"> 913</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00914"></a><span class="lineno"> 914</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00915"></a><span class="lineno"> 915</span>  </div>
<div class="line"><a name="l00916"></a><span class="lineno"> 916</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l00917"></a><span class="lineno"> 917</span>  </div>
<div class="line"><a name="l00918"></a><span class="lineno"> 918</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l00919"></a><span class="lineno"> 919</span>  </div>
<div class="line"><a name="l00920"></a><span class="lineno"> 920</span>  <span class="comment">// normalised: prob(vec) = 1</span></div>
<div class="line"><a name="l00921"></a><span class="lineno"> 921</span>  <a class="code" href="group__init.html#ga234bd34016f08288532791903b9884b5">initPlusState</a>(vec);</div>
<div class="line"><a name="l00922"></a><span class="lineno"> 922</span>  REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(vec) == Approx(1) );</div>
<div class="line"><a name="l00923"></a><span class="lineno"> 923</span>  </div>
<div class="line"><a name="l00924"></a><span class="lineno"> 924</span>  <span class="comment">// zero norm: prob(vec) = 0</span></div>
<div class="line"><a name="l00925"></a><span class="lineno"> 925</span>  <a class="code" href="group__init.html#gada7230491a50cd409f8b00f5ee1db953">initBlankState</a>(vec);</div>
<div class="line"><a name="l00926"></a><span class="lineno"> 926</span>  REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(vec) == 0 );</div>
<div class="line"><a name="l00927"></a><span class="lineno"> 927</span>  </div>
<div class="line"><a name="l00928"></a><span class="lineno"> 928</span>  <span class="comment">// random L2 state: prob(vec) = 1</span></div>
<div class="line"><a name="l00929"></a><span class="lineno"> 929</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(vec, <a class="code" href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>));</div>
<div class="line"><a name="l00930"></a><span class="lineno"> 930</span>  REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(vec) == Approx(1) );</div>
<div class="line"><a name="l00931"></a><span class="lineno"> 931</span>  </div>
<div class="line"><a name="l00932"></a><span class="lineno"> 932</span>  <span class="comment">// unnormalised: prob(vec) = sum_i |vec_i|^2</span></div>
<div class="line"><a name="l00933"></a><span class="lineno"> 933</span>  <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l00934"></a><span class="lineno"> 934</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l00935"></a><span class="lineno"> 935</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> refProb = 0;</div>
<div class="line"><a name="l00936"></a><span class="lineno"> 936</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<ref.size(); i++)</div>
<div class="line"><a name="l00937"></a><span class="lineno"> 937</span>  refProb += pow(abs(ref[i]), 2);</div>
<div class="line"><a name="l00938"></a><span class="lineno"> 938</span>  REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(vec) == Approx(refProb) );</div>
<div class="line"><a name="l00939"></a><span class="lineno"> 939</span>  }</div>
<div class="line"><a name="l00940"></a><span class="lineno"> 940</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l00941"></a><span class="lineno"> 941</span>  </div>
<div class="line"><a name="l00942"></a><span class="lineno"> 942</span>  <span class="comment">// normalised: prob(mat) = 1</span></div>
<div class="line"><a name="l00943"></a><span class="lineno"> 943</span>  <a class="code" href="group__init.html#ga234bd34016f08288532791903b9884b5">initPlusState</a>(mat);</div>
<div class="line"><a name="l00944"></a><span class="lineno"> 944</span>  REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(mat) == Approx(1) );</div>
<div class="line"><a name="l00945"></a><span class="lineno"> 945</span>  </div>
<div class="line"><a name="l00946"></a><span class="lineno"> 946</span>  <span class="comment">// zero norm: prob(mat) = 0</span></div>
<div class="line"><a name="l00947"></a><span class="lineno"> 947</span>  <a class="code" href="group__init.html#gada7230491a50cd409f8b00f5ee1db953">initBlankState</a>(mat);</div>
<div class="line"><a name="l00948"></a><span class="lineno"> 948</span>  REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(mat) == 0 );</div>
<div class="line"><a name="l00949"></a><span class="lineno"> 949</span>  </div>
<div class="line"><a name="l00950"></a><span class="lineno"> 950</span>  <span class="comment">// random density matrix: prob(mat) = 1</span></div>
<div class="line"><a name="l00951"></a><span class="lineno"> 951</span>  <a class="code" href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a>(mat, <a class="code" href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>));</div>
<div class="line"><a name="l00952"></a><span class="lineno"> 952</span>  REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(mat) == Approx(1) );</div>
<div class="line"><a name="l00953"></a><span class="lineno"> 953</span>  </div>
<div class="line"><a name="l00954"></a><span class="lineno"> 954</span>  <span class="comment">// unnormalised: prob(mat) = sum_i real(mat_{ii})</span></div>
<div class="line"><a name="l00955"></a><span class="lineno"> 955</span>  <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(mat);</div>
<div class="line"><a name="l00956"></a><span class="lineno"> 956</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(mat);</div>
<div class="line"><a name="l00957"></a><span class="lineno"> 957</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> refProb = 0;</div>
<div class="line"><a name="l00958"></a><span class="lineno"> 958</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i=0; i<ref.size(); i++)</div>
<div class="line"><a name="l00959"></a><span class="lineno"> 959</span>  refProb += real(ref[i][i]);</div>
<div class="line"><a name="l00960"></a><span class="lineno"> 960</span>  REQUIRE( <a class="code" href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a>(mat) == Approx(refProb) );</div>
<div class="line"><a name="l00961"></a><span class="lineno"> 961</span>  }</div>
<div class="line"><a name="l00962"></a><span class="lineno"> 962</span>  }</div>
<div class="line"><a name="l00963"></a><span class="lineno"> 963</span>  SECTION( <span class="stringliteral">"input validation"</span> ) {</div>
<div class="line"><a name="l00964"></a><span class="lineno"> 964</span>  </div>
<div class="line"><a name="l00965"></a><span class="lineno"> 965</span>  <span class="comment">// no validation </span></div>
<div class="line"><a name="l00966"></a><span class="lineno"> 966</span>  SUCCEED();</div>
<div class="line"><a name="l00967"></a><span class="lineno"> 967</span>  }</div>
<div class="line"><a name="l00968"></a><span class="lineno"> 968</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00969"></a><span class="lineno"> 969</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00970"></a><span class="lineno"> 970</span> }</div>
<div class="line"><a name="l00971"></a><span class="lineno"> 971</span>  </div>
<div class="line"><a name="l00972"></a><span class="lineno"> 972</span>  </div>
<div class="line"><a name="l00973"></a><span class="lineno"> 973</span>  </div>
<div class="line"><a name="l00978"></a><span class="lineno"><a class="line" href="group__unittest.html#gaf530a2a0e2809ded8812a4967d291c3e"> 978</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"getAmp"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l00979"></a><span class="lineno"> 979</span>  </div>
<div class="line"><a name="l00980"></a><span class="lineno"> 980</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l00981"></a><span class="lineno"> 981</span>  </div>
<div class="line"><a name="l00982"></a><span class="lineno"> 982</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l00983"></a><span class="lineno"> 983</span>  </div>
<div class="line"><a name="l00984"></a><span class="lineno"> 984</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l00985"></a><span class="lineno"> 985</span>  </div>
<div class="line"><a name="l00986"></a><span class="lineno"> 986</span>  <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l00987"></a><span class="lineno"> 987</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l00988"></a><span class="lineno"> 988</span>  </div>
<div class="line"><a name="l00989"></a><span class="lineno"> 989</span>  <span class="keywordtype">int</span> ind = GENERATE( range(0,1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l00990"></a><span class="lineno"> 990</span>  <a class="code" href="structComplex.html">Complex</a> amp = <a class="code" href="group__calc.html#ga30d6f8b7c766c9c9914b2c61a2fc0def">getAmp</a>(vec,ind);</div>
<div class="line"><a name="l00991"></a><span class="lineno"> 991</span>  REQUIRE( <a class="code" href="group__type.html#ga3cf635d2b2e57226c8d5a777f513367e">fromComplex</a>(amp) == ref[ind] );</div>
<div class="line"><a name="l00992"></a><span class="lineno"> 992</span>  }</div>
<div class="line"><a name="l00993"></a><span class="lineno"> 993</span>  }</div>
<div class="line"><a name="l00994"></a><span class="lineno"> 994</span>  SECTION( <span class="stringliteral">"input validation"</span> ) {</div>
<div class="line"><a name="l00995"></a><span class="lineno"> 995</span>  </div>
<div class="line"><a name="l00996"></a><span class="lineno"> 996</span>  SECTION( <span class="stringliteral">"state index"</span> ) {</div>
<div class="line"><a name="l00997"></a><span class="lineno"> 997</span>  </div>
<div class="line"><a name="l00998"></a><span class="lineno"> 998</span>  <span class="keywordtype">int</span> ind = GENERATE( -1, 1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l00999"></a><span class="lineno"> 999</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga30d6f8b7c766c9c9914b2c61a2fc0def">getAmp</a>(vec,ind), Contains(<span class="stringliteral">"Invalid amplitude index"</span>) );</div>
<div class="line"><a name="l01000"></a><span class="lineno"> 1000</span>  }</div>
<div class="line"><a name="l01001"></a><span class="lineno"> 1001</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l01002"></a><span class="lineno"> 1002</span>  </div>
<div class="line"><a name="l01003"></a><span class="lineno"> 1003</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01004"></a><span class="lineno"> 1004</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga30d6f8b7c766c9c9914b2c61a2fc0def">getAmp</a>(mat,0), Contains(<span class="stringliteral">"valid only for state-vectors"</span>) );</div>
<div class="line"><a name="l01005"></a><span class="lineno"> 1005</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01006"></a><span class="lineno"> 1006</span>  }</div>
<div class="line"><a name="l01007"></a><span class="lineno"> 1007</span>  }</div>
<div class="line"><a name="l01008"></a><span class="lineno"> 1008</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01009"></a><span class="lineno"> 1009</span> }</div>
<div class="line"><a name="l01010"></a><span class="lineno"> 1010</span>  </div>
<div class="line"><a name="l01011"></a><span class="lineno"> 1011</span>  </div>
<div class="line"><a name="l01012"></a><span class="lineno"> 1012</span>  </div>
<div class="line"><a name="l01017"></a><span class="lineno"><a class="line" href="group__unittest.html#ga91c97193b23d8dcba69ad8af5ff31b85"> 1017</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"getDensityAmp"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l01018"></a><span class="lineno"> 1018</span>  </div>
<div class="line"><a name="l01019"></a><span class="lineno"> 1019</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01020"></a><span class="lineno"> 1020</span>  </div>
<div class="line"><a name="l01021"></a><span class="lineno"> 1021</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l01022"></a><span class="lineno"> 1022</span>  </div>
<div class="line"><a name="l01023"></a><span class="lineno"> 1023</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l01024"></a><span class="lineno"> 1024</span>  </div>
<div class="line"><a name="l01025"></a><span class="lineno"> 1025</span>  <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(mat);</div>
<div class="line"><a name="l01026"></a><span class="lineno"> 1026</span>  <a class="code" href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a> ref = <a class="code" href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a>(mat);</div>
<div class="line"><a name="l01027"></a><span class="lineno"> 1027</span>  </div>
<div class="line"><a name="l01028"></a><span class="lineno"> 1028</span>  <span class="keywordtype">int</span> row = GENERATE( range(0,1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l01029"></a><span class="lineno"> 1029</span>  <span class="keywordtype">int</span> col = GENERATE( range(0,1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l01030"></a><span class="lineno"> 1030</span>  </div>
<div class="line"><a name="l01031"></a><span class="lineno"> 1031</span>  <a class="code" href="structComplex.html">Complex</a> amp = <a class="code" href="group__calc.html#gadca286c4ad5cde6124d4e80a7ab95a68">getDensityAmp</a>(mat,row,col);</div>
<div class="line"><a name="l01032"></a><span class="lineno"> 1032</span>  REQUIRE( <a class="code" href="group__type.html#ga3cf635d2b2e57226c8d5a777f513367e">fromComplex</a>(amp) == ref[row][col] );</div>
<div class="line"><a name="l01033"></a><span class="lineno"> 1033</span>  }</div>
<div class="line"><a name="l01034"></a><span class="lineno"> 1034</span>  }</div>
<div class="line"><a name="l01035"></a><span class="lineno"> 1035</span>  SECTION( <span class="stringliteral">"input validation"</span> ) {</div>
<div class="line"><a name="l01036"></a><span class="lineno"> 1036</span>  </div>
<div class="line"><a name="l01037"></a><span class="lineno"> 1037</span>  SECTION( <span class="stringliteral">"state index"</span> ) {</div>
<div class="line"><a name="l01038"></a><span class="lineno"> 1038</span>  </div>
<div class="line"><a name="l01039"></a><span class="lineno"> 1039</span>  <span class="keywordtype">int</span> ind = GENERATE( -1, 1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l01040"></a><span class="lineno"> 1040</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gadca286c4ad5cde6124d4e80a7ab95a68">getDensityAmp</a>(mat,ind,0), Contains(<span class="stringliteral">"Invalid amplitude index"</span>) );</div>
<div class="line"><a name="l01041"></a><span class="lineno"> 1041</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gadca286c4ad5cde6124d4e80a7ab95a68">getDensityAmp</a>(mat,0,ind), Contains(<span class="stringliteral">"Invalid amplitude index"</span>) );</div>
<div class="line"><a name="l01042"></a><span class="lineno"> 1042</span>  </div>
<div class="line"><a name="l01043"></a><span class="lineno"> 1043</span>  }</div>
<div class="line"><a name="l01044"></a><span class="lineno"> 1044</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l01045"></a><span class="lineno"> 1045</span>  </div>
<div class="line"><a name="l01046"></a><span class="lineno"> 1046</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01047"></a><span class="lineno"> 1047</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gadca286c4ad5cde6124d4e80a7ab95a68">getDensityAmp</a>(vec,0,0), Contains(<span class="stringliteral">"valid only for density matrices"</span>) );</div>
<div class="line"><a name="l01048"></a><span class="lineno"> 1048</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01049"></a><span class="lineno"> 1049</span>  }</div>
<div class="line"><a name="l01050"></a><span class="lineno"> 1050</span>  }</div>
<div class="line"><a name="l01051"></a><span class="lineno"> 1051</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01052"></a><span class="lineno"> 1052</span> }</div>
<div class="line"><a name="l01053"></a><span class="lineno"> 1053</span>  </div>
<div class="line"><a name="l01054"></a><span class="lineno"> 1054</span>  </div>
<div class="line"><a name="l01055"></a><span class="lineno"> 1055</span>  </div>
<div class="line"><a name="l01060"></a><span class="lineno"><a class="line" href="group__unittest.html#gae43391f4fc72b35c87ea4d76576463be"> 1060</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"getImagAmp"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l01061"></a><span class="lineno"> 1061</span>  </div>
<div class="line"><a name="l01062"></a><span class="lineno"> 1062</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01063"></a><span class="lineno"> 1063</span>  </div>
<div class="line"><a name="l01064"></a><span class="lineno"> 1064</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l01065"></a><span class="lineno"> 1065</span>  </div>
<div class="line"><a name="l01066"></a><span class="lineno"> 1066</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l01067"></a><span class="lineno"> 1067</span>  </div>
<div class="line"><a name="l01068"></a><span class="lineno"> 1068</span>  <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l01069"></a><span class="lineno"> 1069</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l01070"></a><span class="lineno"> 1070</span>  </div>
<div class="line"><a name="l01071"></a><span class="lineno"> 1071</span>  <span class="keywordtype">int</span> ind = GENERATE( range(0,1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l01072"></a><span class="lineno"> 1072</span>  REQUIRE( <a class="code" href="group__calc.html#gad575782de461d9ab0975b38cc7850f1a">getImagAmp</a>(vec,ind) == imag(ref[ind]) );</div>
<div class="line"><a name="l01073"></a><span class="lineno"> 1073</span>  }</div>
<div class="line"><a name="l01074"></a><span class="lineno"> 1074</span>  }</div>
<div class="line"><a name="l01075"></a><span class="lineno"> 1075</span>  SECTION( <span class="stringliteral">"input validation"</span> ) {</div>
<div class="line"><a name="l01076"></a><span class="lineno"> 1076</span>  </div>
<div class="line"><a name="l01077"></a><span class="lineno"> 1077</span>  SECTION( <span class="stringliteral">"state index"</span> ) {</div>
<div class="line"><a name="l01078"></a><span class="lineno"> 1078</span>  </div>
<div class="line"><a name="l01079"></a><span class="lineno"> 1079</span>  <span class="keywordtype">int</span> ind = GENERATE( -1, 1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l01080"></a><span class="lineno"> 1080</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gad575782de461d9ab0975b38cc7850f1a">getImagAmp</a>(vec,ind), Contains(<span class="stringliteral">"Invalid amplitude index"</span>) );</div>
<div class="line"><a name="l01081"></a><span class="lineno"> 1081</span>  }</div>
<div class="line"><a name="l01082"></a><span class="lineno"> 1082</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l01083"></a><span class="lineno"> 1083</span>  </div>
<div class="line"><a name="l01084"></a><span class="lineno"> 1084</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01085"></a><span class="lineno"> 1085</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#gad575782de461d9ab0975b38cc7850f1a">getImagAmp</a>(mat,0), Contains(<span class="stringliteral">"valid only for state-vectors"</span>) );</div>
<div class="line"><a name="l01086"></a><span class="lineno"> 1086</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01087"></a><span class="lineno"> 1087</span>  }</div>
<div class="line"><a name="l01088"></a><span class="lineno"> 1088</span>  }</div>
<div class="line"><a name="l01089"></a><span class="lineno"> 1089</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01090"></a><span class="lineno"> 1090</span> }</div>
<div class="line"><a name="l01091"></a><span class="lineno"> 1091</span>  </div>
<div class="line"><a name="l01092"></a><span class="lineno"> 1092</span>  </div>
<div class="line"><a name="l01093"></a><span class="lineno"> 1093</span>  </div>
<div class="line"><a name="l01098"></a><span class="lineno"><a class="line" href="group__unittest.html#ga77058278e43deef9a7daac38746acdcd"> 1098</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"getNumAmps"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l01099"></a><span class="lineno"> 1099</span>  </div>
<div class="line"><a name="l01100"></a><span class="lineno"> 1100</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l01101"></a><span class="lineno"> 1101</span>  </div>
<div class="line"><a name="l01102"></a><span class="lineno"> 1102</span>  <span class="comment">// test >= NUM_QUBITS so as not to limit distribution size</span></div>
<div class="line"><a name="l01103"></a><span class="lineno"> 1103</span>  <span class="keywordtype">int</span> numQb = GENERATE( range(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>+10) );</div>
<div class="line"><a name="l01104"></a><span class="lineno"> 1104</span>  </div>
<div class="line"><a name="l01105"></a><span class="lineno"> 1105</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l01106"></a><span class="lineno"> 1106</span>  </div>
<div class="line"><a name="l01107"></a><span class="lineno"> 1107</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(numQb, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01108"></a><span class="lineno"> 1108</span>  REQUIRE( <a class="code" href="group__calc.html#ga8cbe422d4981bf06847d229a4c6aa3df">getNumAmps</a>(vec) == (1<<numQb) );</div>
<div class="line"><a name="l01109"></a><span class="lineno"> 1109</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01110"></a><span class="lineno"> 1110</span>  }</div>
<div class="line"><a name="l01111"></a><span class="lineno"> 1111</span>  }</div>
<div class="line"><a name="l01112"></a><span class="lineno"> 1112</span>  SECTION( <span class="stringliteral">"input validation"</span> ) {</div>
<div class="line"><a name="l01113"></a><span class="lineno"> 1113</span>  </div>
<div class="line"><a name="l01114"></a><span class="lineno"> 1114</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l01115"></a><span class="lineno"> 1115</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01116"></a><span class="lineno"> 1116</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga8cbe422d4981bf06847d229a4c6aa3df">getNumAmps</a>(mat), Contains(<span class="stringliteral">"valid only for state-vectors"</span>) );</div>
<div class="line"><a name="l01117"></a><span class="lineno"> 1117</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01118"></a><span class="lineno"> 1118</span>  }</div>
<div class="line"><a name="l01119"></a><span class="lineno"> 1119</span>  }</div>
<div class="line"><a name="l01120"></a><span class="lineno"> 1120</span> }</div>
<div class="line"><a name="l01121"></a><span class="lineno"> 1121</span>  </div>
<div class="line"><a name="l01122"></a><span class="lineno"> 1122</span>  </div>
<div class="line"><a name="l01123"></a><span class="lineno"> 1123</span>  </div>
<div class="line"><a name="l01128"></a><span class="lineno"><a class="line" href="group__unittest.html#ga6161165d2a2ba0a72691e040964f86f4"> 1128</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"getNumQubits"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l01129"></a><span class="lineno"> 1129</span>  </div>
<div class="line"><a name="l01130"></a><span class="lineno"> 1130</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l01131"></a><span class="lineno"> 1131</span>  </div>
<div class="line"><a name="l01132"></a><span class="lineno"> 1132</span>  <span class="comment">// test >= NUM_QUBITS so as not to limit distribution size</span></div>
<div class="line"><a name="l01133"></a><span class="lineno"> 1133</span>  <span class="keywordtype">int</span> numQb = GENERATE( range(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>+10) );</div>
<div class="line"><a name="l01134"></a><span class="lineno"> 1134</span>  </div>
<div class="line"><a name="l01135"></a><span class="lineno"> 1135</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l01136"></a><span class="lineno"> 1136</span>  </div>
<div class="line"><a name="l01137"></a><span class="lineno"> 1137</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(numQb, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01138"></a><span class="lineno"> 1138</span>  REQUIRE( <a class="code" href="group__calc.html#ga73036c778d800703585ab3d8796a915f">getNumQubits</a>(vec) == numQb );</div>
<div class="line"><a name="l01139"></a><span class="lineno"> 1139</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01140"></a><span class="lineno"> 1140</span>  }</div>
<div class="line"><a name="l01141"></a><span class="lineno"> 1141</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l01142"></a><span class="lineno"> 1142</span>  </div>
<div class="line"><a name="l01143"></a><span class="lineno"> 1143</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(numQb, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01144"></a><span class="lineno"> 1144</span>  REQUIRE( <a class="code" href="group__calc.html#ga73036c778d800703585ab3d8796a915f">getNumQubits</a>(mat) == numQb );</div>
<div class="line"><a name="l01145"></a><span class="lineno"> 1145</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01146"></a><span class="lineno"> 1146</span>  }</div>
<div class="line"><a name="l01147"></a><span class="lineno"> 1147</span>  }</div>
<div class="line"><a name="l01148"></a><span class="lineno"> 1148</span>  SECTION( <span class="stringliteral">"input validation"</span> ) {</div>
<div class="line"><a name="l01149"></a><span class="lineno"> 1149</span>  </div>
<div class="line"><a name="l01150"></a><span class="lineno"> 1150</span>  <span class="comment">// no validation</span></div>
<div class="line"><a name="l01151"></a><span class="lineno"> 1151</span>  SUCCEED();</div>
<div class="line"><a name="l01152"></a><span class="lineno"> 1152</span>  }</div>
<div class="line"><a name="l01153"></a><span class="lineno"> 1153</span> }</div>
<div class="line"><a name="l01154"></a><span class="lineno"> 1154</span>  </div>
<div class="line"><a name="l01155"></a><span class="lineno"> 1155</span>  </div>
<div class="line"><a name="l01156"></a><span class="lineno"> 1156</span>  </div>
<div class="line"><a name="l01161"></a><span class="lineno"><a class="line" href="group__unittest.html#gad7d8932b28815ad719e3ff6cc29f5656"> 1161</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"getProbAmp"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l01162"></a><span class="lineno"> 1162</span>  </div>
<div class="line"><a name="l01163"></a><span class="lineno"> 1163</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01164"></a><span class="lineno"> 1164</span>  </div>
<div class="line"><a name="l01165"></a><span class="lineno"> 1165</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l01166"></a><span class="lineno"> 1166</span>  </div>
<div class="line"><a name="l01167"></a><span class="lineno"> 1167</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l01168"></a><span class="lineno"> 1168</span>  </div>
<div class="line"><a name="l01169"></a><span class="lineno"> 1169</span>  <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l01170"></a><span class="lineno"> 1170</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l01171"></a><span class="lineno"> 1171</span>  </div>
<div class="line"><a name="l01172"></a><span class="lineno"> 1172</span>  <span class="keywordtype">int</span> ind = GENERATE( range(0,1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l01173"></a><span class="lineno"> 1173</span>  <a class="code" href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a> refCalc = pow(abs(ref[ind]), 2);</div>
<div class="line"><a name="l01174"></a><span class="lineno"> 1174</span>  REQUIRE( <a class="code" href="group__calc.html#ga4a14d22379d399760b0cfc5c8053589b">getProbAmp</a>(vec,ind) == Approx(refCalc) );</div>
<div class="line"><a name="l01175"></a><span class="lineno"> 1175</span>  }</div>
<div class="line"><a name="l01176"></a><span class="lineno"> 1176</span>  }</div>
<div class="line"><a name="l01177"></a><span class="lineno"> 1177</span>  SECTION( <span class="stringliteral">"input validation"</span> ) {</div>
<div class="line"><a name="l01178"></a><span class="lineno"> 1178</span>  </div>
<div class="line"><a name="l01179"></a><span class="lineno"> 1179</span>  SECTION( <span class="stringliteral">"state index"</span> ) {</div>
<div class="line"><a name="l01180"></a><span class="lineno"> 1180</span>  </div>
<div class="line"><a name="l01181"></a><span class="lineno"> 1181</span>  <span class="keywordtype">int</span> ind = GENERATE( -1, 1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l01182"></a><span class="lineno"> 1182</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga4a14d22379d399760b0cfc5c8053589b">getProbAmp</a>(vec,ind), Contains(<span class="stringliteral">"Invalid amplitude index"</span>) );</div>
<div class="line"><a name="l01183"></a><span class="lineno"> 1183</span>  }</div>
<div class="line"><a name="l01184"></a><span class="lineno"> 1184</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l01185"></a><span class="lineno"> 1185</span>  </div>
<div class="line"><a name="l01186"></a><span class="lineno"> 1186</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01187"></a><span class="lineno"> 1187</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga4a14d22379d399760b0cfc5c8053589b">getProbAmp</a>(mat,0), Contains(<span class="stringliteral">"valid only for state-vectors"</span>) );</div>
<div class="line"><a name="l01188"></a><span class="lineno"> 1188</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01189"></a><span class="lineno"> 1189</span>  }</div>
<div class="line"><a name="l01190"></a><span class="lineno"> 1190</span>  }</div>
<div class="line"><a name="l01191"></a><span class="lineno"> 1191</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01192"></a><span class="lineno"> 1192</span> }</div>
<div class="line"><a name="l01193"></a><span class="lineno"> 1193</span>  </div>
<div class="line"><a name="l01194"></a><span class="lineno"> 1194</span>  </div>
<div class="line"><a name="l01195"></a><span class="lineno"> 1195</span>  </div>
<div class="line"><a name="l01200"></a><span class="lineno"><a class="line" href="group__unittest.html#gadf3a64a1dff4833aa96ecb3c98656398"> 1200</a></span> <a class="code" href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a>( <span class="stringliteral">"getRealAmp"</span>, <span class="stringliteral">"[calculations]"</span> ) {</div>
<div class="line"><a name="l01201"></a><span class="lineno"> 1201</span>  </div>
<div class="line"><a name="l01202"></a><span class="lineno"> 1202</span>  <a class="code" href="structQureg.html">Qureg</a> vec = <a class="code" href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01203"></a><span class="lineno"> 1203</span>  </div>
<div class="line"><a name="l01204"></a><span class="lineno"> 1204</span>  SECTION( <span class="stringliteral">"correctness"</span> ) {</div>
<div class="line"><a name="l01205"></a><span class="lineno"> 1205</span>  </div>
<div class="line"><a name="l01206"></a><span class="lineno"> 1206</span>  SECTION( <span class="stringliteral">"state-vector"</span> ) {</div>
<div class="line"><a name="l01207"></a><span class="lineno"> 1207</span>  </div>
<div class="line"><a name="l01208"></a><span class="lineno"> 1208</span>  <a class="code" href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a>(vec);</div>
<div class="line"><a name="l01209"></a><span class="lineno"> 1209</span>  <a class="code" href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a> ref = <a class="code" href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a>(vec);</div>
<div class="line"><a name="l01210"></a><span class="lineno"> 1210</span>  </div>
<div class="line"><a name="l01211"></a><span class="lineno"> 1211</span>  <span class="keywordtype">int</span> ind = GENERATE( range(0,1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>) );</div>
<div class="line"><a name="l01212"></a><span class="lineno"> 1212</span>  REQUIRE( <a class="code" href="group__calc.html#ga1416145280c62c5dd5ec9bed89b4cd05">getRealAmp</a>(vec,ind) == real(ref[ind]) );</div>
<div class="line"><a name="l01213"></a><span class="lineno"> 1213</span>  }</div>
<div class="line"><a name="l01214"></a><span class="lineno"> 1214</span>  }</div>
<div class="line"><a name="l01215"></a><span class="lineno"> 1215</span>  SECTION( <span class="stringliteral">"input validation"</span> ) {</div>
<div class="line"><a name="l01216"></a><span class="lineno"> 1216</span>  </div>
<div class="line"><a name="l01217"></a><span class="lineno"> 1217</span>  SECTION( <span class="stringliteral">"state index"</span> ) {</div>
<div class="line"><a name="l01218"></a><span class="lineno"> 1218</span>  </div>
<div class="line"><a name="l01219"></a><span class="lineno"> 1219</span>  <span class="keywordtype">int</span> ind = GENERATE( -1, 1<<<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a> );</div>
<div class="line"><a name="l01220"></a><span class="lineno"> 1220</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga1416145280c62c5dd5ec9bed89b4cd05">getRealAmp</a>(vec,ind), Contains(<span class="stringliteral">"Invalid amplitude index"</span>) );</div>
<div class="line"><a name="l01221"></a><span class="lineno"> 1221</span>  }</div>
<div class="line"><a name="l01222"></a><span class="lineno"> 1222</span>  SECTION( <span class="stringliteral">"density-matrix"</span> ) {</div>
<div class="line"><a name="l01223"></a><span class="lineno"> 1223</span>  </div>
<div class="line"><a name="l01224"></a><span class="lineno"> 1224</span>  <a class="code" href="structQureg.html">Qureg</a> mat = <a class="code" href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a>(<a class="code" href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a>, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01225"></a><span class="lineno"> 1225</span>  REQUIRE_THROWS_WITH( <a class="code" href="group__calc.html#ga1416145280c62c5dd5ec9bed89b4cd05">getRealAmp</a>(mat,0), Contains(<span class="stringliteral">"valid only for state-vectors"</span>) );</div>
<div class="line"><a name="l01226"></a><span class="lineno"> 1226</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(mat, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01227"></a><span class="lineno"> 1227</span>  }</div>
<div class="line"><a name="l01228"></a><span class="lineno"> 1228</span>  }</div>
<div class="line"><a name="l01229"></a><span class="lineno"> 1229</span>  <a class="code" href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a>(vec, <a class="code" href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a>);</div>
<div class="line"><a name="l01230"></a><span class="lineno"> 1230</span> }</div>
<div class="line"><a name="l01231"></a><span class="lineno"> 1231</span>  </div>
<div class="line"><a name="l01232"></a><span class="lineno"> 1232</span>  </div>
</div><!-- fragment --></div><!-- contents -->
<div class="ttc" id="agroup__calc_html_ga4a14d22379d399760b0cfc5c8053589b"><div class="ttname"><a href="group__calc.html#ga4a14d22379d399760b0cfc5c8053589b">getProbAmp</a></div><div class="ttdeci">qreal getProbAmp(Qureg qureg, long long int index)</div><div class="ttdoc">Get the probability of a state-vector at an index in the full state vector.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00690">QuEST.c:690</a></div></div>
<div class="ttc" id="agroup__init_html_gada7230491a50cd409f8b00f5ee1db953"><div class="ttname"><a href="group__init.html#gada7230491a50cd409f8b00f5ee1db953">initBlankState</a></div><div class="ttdeci">void initBlankState(Qureg qureg)</div><div class="ttdoc">Initialises a qureg to have all-zero-amplitudes.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00117">QuEST.c:117</a></div></div>
<div class="ttc" id="agroup__type_html_ga1c703cf89629e4e9c7023cd402d67028"><div class="ttname"><a href="group__type.html#ga1c703cf89629e4e9c7023cd402d67028">pauliOpType</a></div><div class="ttdeci">pauliOpType</div><div class="ttdoc">Codes for specifying Pauli operators.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00096">QuEST.h:96</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga20f041452b43026d876fde17a5999265"><div class="ttname"><a href="group__testutilities.html#ga20f041452b43026d876fde17a5999265">getFullOperatorMatrix</a></div><div class="ttdeci">QMatrix getFullOperatorMatrix(int *ctrls, int numCtrls, int *targs, int numTargs, QMatrix op, int numQubits)</div><div class="ttdoc">Takes a 2^numTargs-by-2^numTargs matrix op and a returns a 2^numQubits-by-2^numQubits matrix where op...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00293">utilities.cpp:293</a></div></div>
<div class="ttc" id="amain_8cpp_html_a718130cc1fc36cde991aff3d4c85c47d"><div class="ttname"><a href="main_8cpp.html#a718130cc1fc36cde991aff3d4c85c47d">QUEST_ENV</a></div><div class="ttdeci">QuESTEnv QUEST_ENV</div><div class="ttdoc">The global QuESTEnv instance, to be created and destroyed once in this main(), so that the MPI enviro...</div><div class="ttdef"><b>Definition:</b> <a href="main_8cpp_source.html#l00020">main.cpp:20</a></div></div>
<div class="ttc" id="agroup__type_html_ga3cf635d2b2e57226c8d5a777f513367e"><div class="ttname"><a href="group__type.html#ga3cf635d2b2e57226c8d5a777f513367e">fromComplex</a></div><div class="ttdeci">#define fromComplex(comp)</div></div>
<div class="ttc" id="agroup__type_html_gga1c703cf89629e4e9c7023cd402d67028a085c85cff6ba79c52d8b1e61c42ddddf"><div class="ttname"><a href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a085c85cff6ba79c52d8b1e61c42ddddf">PAULI_Z</a></div><div class="ttdeci">@ PAULI_Z</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00096">QuEST.h:96</a></div></div>
<div class="ttc" id="agroup__calc_html_gab082910d33473ec29e1d5852943de468"><div class="ttname"><a href="group__calc.html#gab082910d33473ec29e1d5852943de468">calcTotalProb</a></div><div class="ttdeci">qreal calcTotalProb(Qureg qureg)</div><div class="ttdoc">A debugging function which calculates the probability of the qubits in qureg being in any state,...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00822">QuEST.c:822</a></div></div>
<div class="ttc" id="agroup__type_html_gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a"><div class="ttname"><a href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a63800f45b01ccc2608f754aee850bf4a">PAULI_I</a></div><div class="ttdeci">@ PAULI_I</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00096">QuEST.h:96</a></div></div>
<div class="ttc" id="agroup__calc_html_gadca286c4ad5cde6124d4e80a7ab95a68"><div class="ttname"><a href="group__calc.html#gadca286c4ad5cde6124d4e80a7ab95a68">getDensityAmp</a></div><div class="ttdeci">Complex getDensityAmp(Qureg qureg, long long int row, long long int col)</div><div class="ttdoc">Get an amplitude from a density matrix at a given row and column.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00707">QuEST.c:707</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga7125d0747a44db58115899727ac5f6be"><div class="ttname"><a href="group__testutilities.html#ga7125d0747a44db58115899727ac5f6be">getRandomInt</a></div><div class="ttdeci">int getRandomInt(int min, int max)</div><div class="ttdoc">Returns a random integer between min (inclusive) and max (exclusive), from the uniform distribution.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00481">utilities.cpp:481</a></div></div>
<div class="ttc" id="agroup__calc_html_gad575782de461d9ab0975b38cc7850f1a"><div class="ttname"><a href="group__calc.html#gad575782de461d9ab0975b38cc7850f1a">getImagAmp</a></div><div class="ttdeci">qreal getImagAmp(Qureg qureg, long long int index)</div><div class="ttdoc">Get the imaginary component of the complex probability amplitude at an index in the state vector.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00683">QuEST.c:683</a></div></div>
<div class="ttc" id="autilities_8hpp_html_a2f52338126bb8cdf7fcf68eaf01c546a"><div class="ttname"><a href="utilities_8hpp.html#a2f52338126bb8cdf7fcf68eaf01c546a">NUM_QUBITS</a></div><div class="ttdeci">#define NUM_QUBITS</div><div class="ttdoc">The default number of qubits in the registers created for unit testing (both statevectors and density...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8hpp_source.html#l00036">utilities.hpp:36</a></div></div>
<div class="ttc" id="aQuEST_8h_html"><div class="ttname"><a href="QuEST_8h.html">QuEST.h</a></div></div>
<div class="ttc" id="agroup__calc_html_ga683779343fb2c6055f6b1d01079c2ede"><div class="ttname"><a href="group__calc.html#ga683779343fb2c6055f6b1d01079c2ede">calcPurity</a></div><div class="ttdeci">qreal calcPurity(Qureg qureg)</div><div class="ttdoc">Calculates the purity of a density matrix, by the trace of the density matrix squared.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00855">QuEST.c:855</a></div></div>
<div class="ttc" id="agroup__calc_html_gaa266ed6c8ae5d0d0f49e1ac50819cffc"><div class="ttname"><a href="group__calc.html#gaa266ed6c8ae5d0d0f49e1ac50819cffc">calcFidelity</a></div><div class="ttdeci">qreal calcFidelity(Qureg qureg, Qureg pureState)</div><div class="ttdoc">Calculates the fidelity of qureg (a statevector or density matrix) against a reference pure state (ne...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00861">QuEST.c:861</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gacd5aadbe10ecdedaa625f85171c0a3cd"><div class="ttname"><a href="group__testutilities.html#gacd5aadbe10ecdedaa625f85171c0a3cd">getRandomReal</a></div><div class="ttdeci">qreal getRandomReal(qreal min, qreal max)</div><div class="ttdoc">Returns a random real between min (inclusive) and max (exclusive), from the uniform distribution.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00410">utilities.cpp:410</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga2de7d3b138728b6beb7753b82df61803"><div class="ttname"><a href="group__testutilities.html#ga2de7d3b138728b6beb7753b82df61803">getKetBra</a></div><div class="ttdeci">QMatrix getKetBra(QVector ket, QVector bra)</div><div class="ttdoc">Returns the matrix |ket><bra|, with ith-jth element ket(i) conj(bra(j)), since |ket><bra| = sum_i a_i...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00159">utilities.cpp:159</a></div></div>
<div class="ttc" id="agroup__type_html_ga7740e349b4f8bae6451547680f0ce2d6"><div class="ttname"><a href="group__type.html#ga7740e349b4f8bae6451547680f0ce2d6">qreal</a></div><div class="ttdeci">#define qreal</div></div>
<div class="ttc" id="agroup__testutilities_html_ga253946523907014c4f198d2bb38d4913"><div class="ttname"><a href="group__testutilities.html#ga253946523907014c4f198d2bb38d4913">toQMatrix</a></div><div class="ttdeci">QMatrix toQMatrix(ComplexMatrix2 src)</div><div class="ttdoc">Returns a copy of the given 2-by-2 matrix.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00835">utilities.cpp:835</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gaf5a18d4c00dfe0523972be3bfc666362"><div class="ttname"><a href="group__testutilities.html#gaf5a18d4c00dfe0523972be3bfc666362">toQureg</a></div><div class="ttdeci">void toQureg(Qureg qureg, QVector vec)</div><div class="ttdoc">Initialises the state-vector qureg to have the same amplitudes as vec.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00946">utilities.cpp:946</a></div></div>
<div class="ttc" id="agroup__type_html_gga1c703cf89629e4e9c7023cd402d67028a7abac7bb5b71e17382014c443244ad5c"><div class="ttname"><a href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a7abac7bb5b71e17382014c443244ad5c">PAULI_X</a></div><div class="ttdeci">@ PAULI_X</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00096">QuEST.h:96</a></div></div>
<div class="ttc" id="agroup__calc_html_ga30d6f8b7c766c9c9914b2c61a2fc0def"><div class="ttname"><a href="group__calc.html#ga30d6f8b7c766c9c9914b2c61a2fc0def">getAmp</a></div><div class="ttdeci">Complex getAmp(Qureg qureg, long long int index)</div><div class="ttdoc">Get the complex amplitude at a given index in the state vector.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00697">QuEST.c:697</a></div></div>
<div class="ttc" id="agroup__calc_html_ga87ddbe5c8281543541ccd99e0dafd387"><div class="ttname"><a href="group__calc.html#ga87ddbe5c8281543541ccd99e0dafd387">calcHilbertSchmidtDistance</a></div><div class="ttdeci">qreal calcHilbertSchmidtDistance(Qureg a, Qureg b)</div><div class="ttdoc">Computes the Hilbert Schmidt distance between two density matrices a and b, defined as the Frobenius ...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00889">QuEST.c:889</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gac9263a65c96a458b810b20baa81c5b94"><div class="ttname"><a href="group__testutilities.html#gac9263a65c96a458b810b20baa81c5b94">QVector</a></div><div class="ttdeci">std::vector< qcomp > QVector</div><div class="ttdoc">A complex vector, which can be zero-initialised with QVector(numAmps).</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8hpp_source.html#l00060">utilities.hpp:60</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gade0e7c37811a69f1c21c88c11943a19f"><div class="ttname"><a href="group__testutilities.html#gade0e7c37811a69f1c21c88c11943a19f">toQVector</a></div><div class="ttdeci">QVector toQVector(Qureg qureg)</div><div class="ttdoc">Returns an equal-size copy of the given state-vector qureg.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00904">utilities.cpp:904</a></div></div>
<div class="ttc" id="agroup__type_html_gad863c5878a01051a2726ce94bf365428"><div class="ttname"><a href="group__type.html#gad863c5878a01051a2726ce94bf365428">qcomp</a></div><div class="ttdeci">#define qcomp</div></div>
<div class="ttc" id="agroup__unittest_html_ga4f3c9ca42b9b7cd322f1b89ba2350a81"><div class="ttname"><a href="group__unittest.html#ga4f3c9ca42b9b7cd322f1b89ba2350a81">TEST_CASE</a></div><div class="ttdeci">TEST_CASE("calcDensityInnerProduct", "[calculations]")</div><div class="ttdef"><b>Definition:</b> <a href="test__calculations_8cpp_source.html#l00015">test_calculations.cpp:15</a></div></div>
<div class="ttc" id="agroup__calc_html_ga1416145280c62c5dd5ec9bed89b4cd05"><div class="ttname"><a href="group__calc.html#ga1416145280c62c5dd5ec9bed89b4cd05">getRealAmp</a></div><div class="ttdeci">qreal getRealAmp(Qureg qureg, long long int index)</div><div class="ttdoc">Get the real component of the complex probability amplitude at an index in the state vector.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00676">QuEST.c:676</a></div></div>
<div class="ttc" id="agroup__type_html_gga1c703cf89629e4e9c7023cd402d67028a2c64a9aaee27f6bcfef894d159e759bd"><div class="ttname"><a href="group__type.html#gga1c703cf89629e4e9c7023cd402d67028a2c64a9aaee27f6bcfef894d159e759bd">PAULI_Y</a></div><div class="ttdeci">@ PAULI_Y</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00096">QuEST.h:96</a></div></div>
<div class="ttc" id="agroup__calc_html_ga73036c778d800703585ab3d8796a915f"><div class="ttname"><a href="group__calc.html#ga73036c778d800703585ab3d8796a915f">getNumQubits</a></div><div class="ttdeci">int getNumQubits(Qureg qureg)</div><div class="ttdoc">Get the number of qubits in a qureg object.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00666">QuEST.c:666</a></div></div>
<div class="ttc" id="agroup__calc_html_ga374ad70804998394ae41ebfe106258a6"><div class="ttname"><a href="group__calc.html#ga374ad70804998394ae41ebfe106258a6">calcInnerProduct</a></div><div class="ttdeci">Complex calcInnerProduct(Qureg bra, Qureg ket)</div><div class="ttdoc">Computes the inner product of two equal-size state vectors, given by.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00829">QuEST.c:829</a></div></div>
<div class="ttc" id="agroup__type_html_ga8e1e6ad3254892edc2ee08712ea9d692"><div class="ttname"><a href="group__type.html#ga8e1e6ad3254892edc2ee08712ea9d692">destroyQureg</a></div><div class="ttdeci">void destroyQureg(Qureg qureg, QuESTEnv env)</div><div class="ttdoc">Deallocate a Qureg object representing a set of qubits.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00075">QuEST.c:75</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gae1d2eb70b50267f8186cbd53e300d94f"><div class="ttname"><a href="group__testutilities.html#gae1d2eb70b50267f8186cbd53e300d94f">getRandomStateVector</a></div><div class="ttdeci">QVector getRandomStateVector(int numQb)</div><div class="ttdoc">Returns a random numQb-length L2-normalised state-vector from an undisclosed distribution.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00453">utilities.cpp:453</a></div></div>
<div class="ttc" id="agroup__debug_html_gaa696c94112e5fbbc996af10dfc4e2c1c"><div class="ttname"><a href="group__debug.html#gaa696c94112e5fbbc996af10dfc4e2c1c">initDebugState</a></div><div class="ttdeci">void initDebugState(Qureg qureg)</div><div class="ttdoc">Initialises qureg to be in the un-normalised, non-physical state with with n-th complex amplitude (2n...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l01057">QuEST.c:1057</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gaa2e8b958e0cba07e01de9f91a5ce3c9c"><div class="ttname"><a href="group__testutilities.html#gaa2e8b958e0cba07e01de9f91a5ce3c9c">getRandomQMatrix</a></div><div class="ttdeci">QMatrix getRandomQMatrix(int dim)</div><div class="ttdoc">Returns a dim-by-dim complex matrix, where the real and imaginary value of each element are independe...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00368">utilities.cpp:368</a></div></div>
<div class="ttc" id="astructQureg_html"><div class="ttname"><a href="structQureg.html">Qureg</a></div><div class="ttdoc">Represents a system of qubits.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00160">QuEST.h:160</a></div></div>
<div class="ttc" id="agroup__calc_html_ga8cbe422d4981bf06847d229a4c6aa3df"><div class="ttname"><a href="group__calc.html#ga8cbe422d4981bf06847d229a4c6aa3df">getNumAmps</a></div><div class="ttdeci">long long int getNumAmps(Qureg qureg)</div><div class="ttdoc">Get the number of probability amplitudes in a qureg object, given by 2^numQubits.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00670">QuEST.c:670</a></div></div>
<div class="ttc" id="agroup__testutilities_html_gabbc686f5f40eff22e08a2b2012ac4e41"><div class="ttname"><a href="group__testutilities.html#gabbc686f5f40eff22e08a2b2012ac4e41">QMatrix</a></div><div class="ttdeci">std::vector< std::vector< qcomp > > QMatrix</div><div class="ttdoc">A complex square matrix.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8hpp_source.html#l00049">utilities.hpp:49</a></div></div>
<div class="ttc" id="agroup__calc_html_ga50ee589fd5ceab52fdd70d0082352b41"><div class="ttname"><a href="group__calc.html#ga50ee589fd5ceab52fdd70d0082352b41">calcExpecPauliSum</a></div><div class="ttdeci">qreal calcExpecPauliSum(Qureg qureg, enum pauliOpType *allPauliCodes, qreal *termCoeffs, int numSumTerms, Qureg workspace)</div><div class="ttdoc">Computes the expected value of a sum of products of Pauli operators.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00880">QuEST.c:880</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga35add15146aa606b256df79334b867d5"><div class="ttname"><a href="group__testutilities.html#ga35add15146aa606b256df79334b867d5">sublists</a></div><div class="ttdeci">Catch::Generators::GeneratorWrapper< int * > sublists(int *list, int len, int sublen)</div><div class="ttdoc">Returns a Catch2 generator of every length-sublen sublist of length-len list, in increasing lexograph...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l01074">utilities.cpp:1074</a></div></div>
<div class="ttc" id="astructQureg_html_ad08dff5316b8937f4b2a1417591543dc"><div class="ttname"><a href="structQureg.html#ad08dff5316b8937f4b2a1417591543dc">Qureg::numQubitsRepresented</a></div><div class="ttdeci">int numQubitsRepresented</div><div class="ttdoc">The number of qubits represented in either the state-vector or density matrix.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00165">QuEST.h:165</a></div></div>
<div class="ttc" id="astructComplex_html_ab5b2e2eca02131fc74b289a83636cbe3"><div class="ttname"><a href="structComplex.html#ab5b2e2eca02131fc74b289a83636cbe3">Complex::real</a></div><div class="ttdeci">qreal real</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00105">QuEST.h:105</a></div></div>
<div class="ttc" id="agroup__type_html_ga3392816c0643414165c2f5caeec17df0"><div class="ttname"><a href="group__type.html#ga3392816c0643414165c2f5caeec17df0">createQureg</a></div><div class="ttdeci">Qureg createQureg(int numQubits, QuESTEnv env)</div><div class="ttdoc">Create a Qureg object representing a set of qubits which will remain in a pure state.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00034">QuEST.c:34</a></div></div>
<div class="ttc" id="agroup__calc_html_ga2a0fbd65f42d35dcd5ae966c48826920"><div class="ttname"><a href="group__calc.html#ga2a0fbd65f42d35dcd5ae966c48826920">calcProbOfOutcome</a></div><div class="ttdeci">qreal calcProbOfOutcome(Qureg qureg, const int measureQubit, int outcome)</div><div class="ttdoc">Gives the probability of a specified qubit being measured in the given outcome (0 or 1).</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00845">QuEST.c:845</a></div></div>
<div class="ttc" id="astructComplex_html_a84f5439aad0ef495efdd3b4c1c02d27e"><div class="ttname"><a href="structComplex.html#a84f5439aad0ef495efdd3b4c1c02d27e">Complex::imag</a></div><div class="ttdeci">qreal imag</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00106">QuEST.h:106</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga50616e813b0d0aa4f8220785d780cdff"><div class="ttname"><a href="group__testutilities.html#ga50616e813b0d0aa4f8220785d780cdff">getKroneckerProduct</a></div><div class="ttdeci">QMatrix getKroneckerProduct(QMatrix a, QMatrix b)</div><div class="ttdoc">Returns the kronecker product of a and b, where a and b are square but possibly differently-sized com...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00169">utilities.cpp:169</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga617b0fd1eb1c395762c937ad3b23e61b"><div class="ttname"><a href="group__testutilities.html#ga617b0fd1eb1c395762c937ad3b23e61b">getRandomDensityMatrix</a></div><div class="ttdeci">QMatrix getRandomDensityMatrix(int numQb)</div><div class="ttdoc">Returns a random numQb-by-numQb density matrix, from an undisclosed distribution, in a very mixed sta...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00457">utilities.cpp:457</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga6ccbb15b0f234e926be96a153181b63a"><div class="ttname"><a href="group__testutilities.html#ga6ccbb15b0f234e926be96a153181b63a">getZeroMatrix</a></div><div class="ttdeci">QMatrix getZeroMatrix(size_t dim)</div><div class="ttdoc">Returns a dim-by-dim square complex matrix, initialised to all zeroes.</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00143">utilities.cpp:143</a></div></div>
<div class="ttc" id="astructComplex_html"><div class="ttname"><a href="structComplex.html">Complex</a></div><div class="ttdoc">Represents one complex number.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8h_source.html#l00103">QuEST.h:103</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga27dc818709394cb31247e26850215f8a"><div class="ttname"><a href="group__testutilities.html#ga27dc818709394cb31247e26850215f8a">getRandomQVector</a></div><div class="ttdeci">QVector getRandomQVector(int dim)</div><div class="ttdoc">Returns a dim-length vector with random complex amplitudes in the square joining {-1-i,...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00420">utilities.cpp:420</a></div></div>
<div class="ttc" id="agroup__init_html_ga2f049055d4a51d0ea4d1a43b5234dedb"><div class="ttname"><a href="group__init.html#ga2f049055d4a51d0ea4d1a43b5234dedb">initZeroState</a></div><div class="ttdeci">void initZeroState(Qureg qureg)</div><div class="ttdoc">Initialise a set of qubits to the classical zero state .</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00111">QuEST.c:111</a></div></div>
<div class="ttc" id="agroup__calc_html_ga658b3a5cab5e73a17a7fd76a83583a22"><div class="ttname"><a href="group__calc.html#ga658b3a5cab5e73a17a7fd76a83583a22">calcDensityInnerProduct</a></div><div class="ttdeci">qreal calcDensityInnerProduct(Qureg rho1, Qureg rho2)</div><div class="ttdoc">Computes the Hilbert-Schmidt scalar product (which is equivalent to the Frobenius inner product of ma...</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00837">QuEST.c:837</a></div></div>
<div class="ttc" id="agroup__type_html_ga93e55b6650b408abb30a1d4a8bce757c"><div class="ttname"><a href="group__type.html#ga93e55b6650b408abb30a1d4a8bce757c">createDensityQureg</a></div><div class="ttdeci">Qureg createDensityQureg(int numQubits, QuESTEnv env)</div><div class="ttdoc">Create a Qureg for qubits which are represented by a density matrix, and can be in mixed states.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00048">QuEST.c:48</a></div></div>
<div class="ttc" id="agroup__testutilities_html_ga731c2de4d491629d806a03e0aea2f3a3"><div class="ttname"><a href="group__testutilities.html#ga731c2de4d491629d806a03e0aea2f3a3">applyReferenceOp</a></div><div class="ttdeci">void applyReferenceOp(QVector &state, int *ctrls, int numCtrls, int *targs, int numTargs, QMatrix op)</div><div class="ttdoc">Modifies the state-vector state to be the result of applying the multi-target operator matrix op,...</div><div class="ttdef"><b>Definition:</b> <a href="utilities_8cpp_source.html#l00573">utilities.cpp:573</a></div></div>
<div class="ttc" id="agroup__init_html_ga234bd34016f08288532791903b9884b5"><div class="ttname"><a href="group__init.html#ga234bd34016f08288532791903b9884b5">initPlusState</a></div><div class="ttdeci">void initPlusState(Qureg qureg)</div><div class="ttdoc">Initialise a set of qubits to the plus state (and similarly for density matrices).</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00123">QuEST.c:123</a></div></div>
<div class="ttc" id="agroup__calc_html_ga15cfad3f3d26339128e3be32ae7deacd"><div class="ttname"><a href="group__calc.html#ga15cfad3f3d26339128e3be32ae7deacd">calcExpecPauliProd</a></div><div class="ttdeci">qreal calcExpecPauliProd(Qureg qureg, int *targetQubits, enum pauliOpType *pauliCodes, int numTargets, Qureg workspace)</div><div class="ttdoc">Computes the expected value of a product of Pauli operators.</div><div class="ttdef"><b>Definition:</b> <a href="QuEST_8c_source.html#l00871">QuEST.c:871</a></div></div>
<div class="ttc" id="autilities_8hpp_html"><div class="ttname"><a href="utilities_8hpp.html">utilities.hpp</a></div></div>
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