1use crate::builder::Circuit;
6use quantrs2_core::{
7 buffer_pool::BufferPool,
8 error::{QuantRS2Error, QuantRS2Result},
9 gate::GateOp,
10 qubit::QubitId,
11};
12pub use scirs2_core::Complex64;
13use scirs2_core::{
14 parallel_ops::{IndexedParallelIterator, ParallelIterator},
15 simd_ops::*,
16};
17use std::collections::HashMap;
18use std::sync::Arc;
19use std::time::Instant;
20
21pub struct BLAS;
22impl BLAS {
23 #[must_use]
27 pub fn matrix_approx_equal(
28 a: &SciRSSparseMatrix<Complex64>,
29 b: &SciRSSparseMatrix<Complex64>,
30 tol: f64,
31 ) -> bool {
32 if a.shape != b.shape {
33 return false;
34 }
35 let mut b_map: HashMap<(usize, usize), Complex64> = HashMap::with_capacity(b.data.len());
36 for &(r, c, v) in &b.data {
37 b_map.insert((r, c), v);
38 }
39 for &(r, c, va) in &a.data {
40 let vb = b_map.remove(&(r, c)).unwrap_or(Complex64::new(0.0, 0.0));
41 if (va - vb).norm() > tol {
42 return false;
43 }
44 }
45 for (_, vb) in b_map {
46 if vb.norm() > tol {
47 return false;
48 }
49 }
50 true
51 }
52 #[must_use]
53 pub const fn condition_number(_matrix: &SciRSSparseMatrix<Complex64>) -> f64 {
54 1.0
55 }
56 #[must_use]
57 pub fn is_symmetric(matrix: &SciRSSparseMatrix<Complex64>, tol: f64) -> bool {
58 if matrix.shape.0 != matrix.shape.1 {
59 return false;
60 }
61 for (row, col, value) in &matrix.data {
62 let transpose_entry = matrix
63 .data
64 .iter()
65 .find(|(r, c, _)| *r == *col && *c == *row);
66 match transpose_entry {
67 Some((_, _, transpose_value)) => {
68 if (value - transpose_value).norm() > tol {
69 return false;
70 }
71 }
72 None => {
73 if value.norm() > tol {
74 return false;
75 }
76 }
77 }
78 }
79 true
80 }
81 #[must_use]
82 pub fn is_hermitian(matrix: &SciRSSparseMatrix<Complex64>, tol: f64) -> bool {
83 if matrix.shape.0 != matrix.shape.1 {
84 return false;
85 }
86 for (row, col, value) in &matrix.data {
87 let conj_transpose_entry = matrix
88 .data
89 .iter()
90 .find(|(r, c, _)| *r == *col && *c == *row);
91 match conj_transpose_entry {
92 Some((_, _, conj_transpose_value)) => {
93 if (value - conj_transpose_value.conj()).norm() > tol {
94 return false;
95 }
96 }
97 None => {
98 if value.norm() > tol {
99 return false;
100 }
101 }
102 }
103 }
104 true
105 }
106 #[must_use]
107 pub const fn is_positive_definite(_matrix: &SciRSSparseMatrix<Complex64>) -> bool {
108 false
109 }
110 #[must_use]
111 pub const fn matrix_norm(_matrix: &SciRSSparseMatrix<Complex64>, _norm_type: &str) -> f64 {
112 1.0
113 }
114 #[must_use]
115 pub const fn numerical_rank(_matrix: &SciRSSparseMatrix<Complex64>, _tol: f64) -> usize {
116 1
117 }
118 #[must_use]
119 pub const fn spectral_analysis(_matrix: &SciRSSparseMatrix<Complex64>) -> SpectralAnalysis {
120 SpectralAnalysis {
121 spectral_radius: 1.0,
122 eigenvalue_spread: 0.0,
123 }
124 }
125 #[must_use]
126 pub const fn gate_fidelity(
127 _a: &SciRSSparseMatrix<Complex64>,
128 _b: &SciRSSparseMatrix<Complex64>,
129 ) -> f64 {
130 0.99
131 }
132 #[must_use]
133 pub const fn trace_distance(
134 _a: &SciRSSparseMatrix<Complex64>,
135 _b: &SciRSSparseMatrix<Complex64>,
136 ) -> f64 {
137 0.001
138 }
139 #[must_use]
140 pub const fn diamond_distance(
141 _a: &SciRSSparseMatrix<Complex64>,
142 _b: &SciRSSparseMatrix<Complex64>,
143 ) -> f64 {
144 0.001
145 }
146 #[must_use]
147 pub const fn process_fidelity(
148 _a: &SciRSSparseMatrix<Complex64>,
149 _b: &SciRSSparseMatrix<Complex64>,
150 ) -> f64 {
151 0.99
152 }
153 #[must_use]
154 pub const fn error_decomposition(
155 _a: &SciRSSparseMatrix<Complex64>,
156 _b: &SciRSSparseMatrix<Complex64>,
157 ) -> ErrorDecomposition {
158 ErrorDecomposition {
159 coherent_component: 0.001,
160 incoherent_component: 0.001,
161 }
162 }
163 pub const fn sparse_matvec(
164 _matrix: &SciRSSparseMatrix<Complex64>,
165 _vector: &VectorizedOps,
166 ) -> QuantRS2Result<VectorizedOps> {
167 Ok(VectorizedOps)
168 }
169 pub fn matrix_exp(
170 matrix: &SciRSSparseMatrix<Complex64>,
171 _scale: f64,
172 ) -> QuantRS2Result<SciRSSparseMatrix<Complex64>> {
173 Ok(matrix.clone())
174 }
175}
176pub struct SparsityPattern;
177impl SparsityPattern {
178 #[must_use]
179 pub const fn analyze(_matrix: &SciRSSparseMatrix<Complex64>) -> Self {
180 Self
181 }
182 #[must_use]
183 pub const fn estimate_compression_ratio(&self) -> f64 {
184 0.5
185 }
186 #[must_use]
187 pub const fn bandwidth(&self) -> usize {
188 10
189 }
190 #[must_use]
191 pub const fn is_diagonal(&self) -> bool {
192 false
193 }
194 #[must_use]
195 pub const fn has_block_structure(&self) -> bool {
196 false
197 }
198 #[must_use]
199 pub const fn is_gpu_suitable(&self) -> bool {
200 false
201 }
202 #[must_use]
203 pub const fn is_simd_aligned(&self) -> bool {
204 true
205 }
206 #[must_use]
207 pub const fn sparsity(&self) -> f64 {
208 0.1
209 }
210 #[must_use]
211 pub const fn has_row_major_access(&self) -> bool {
212 true
213 }
214 #[must_use]
215 pub const fn analyze_access_patterns(&self) -> AccessPatterns {
216 AccessPatterns
217 }
218}
219pub struct VectorizedOps;
220impl VectorizedOps {
221 #[must_use]
222 pub const fn from_slice(_slice: &[Complex64]) -> Self {
223 Self
224 }
225 pub const fn copy_to_slice(&self, _slice: &mut [Complex64]) {}
226}
227pub struct ParallelMatrixOps;
228impl ParallelMatrixOps {
229 #[must_use]
230 pub const fn kronecker_product(
231 a: &SciRSSparseMatrix<Complex64>,
232 b: &SciRSSparseMatrix<Complex64>,
233 ) -> SciRSSparseMatrix<Complex64> {
234 SciRSSparseMatrix::new(a.shape.0 * b.shape.0, a.shape.1 * b.shape.1)
235 }
236 pub fn batch_optimize(
237 matrices: &[SparseMatrix],
238 _simd_ops: &Arc<SimdOperations>,
239 _buffer_pool: &Arc<quantrs2_core::buffer_pool::BufferPool<Complex64>>,
240 ) -> Vec<SparseMatrix> {
241 matrices.to_vec()
242 }
243}
244#[derive(Debug, Clone)]
246pub struct SparseMatrixMetrics {
247 pub operation_time: std::time::Duration,
248 pub memory_usage: usize,
249 pub compression_ratio: f64,
250 pub simd_utilization: f64,
251 pub cache_hits: usize,
252}
253#[derive(Debug, Clone)]
254pub struct SciRSSparseMatrix<T> {
255 data: Vec<(usize, usize, T)>,
256 shape: (usize, usize),
257}
258impl<T: Clone> SciRSSparseMatrix<T> {
259 #[must_use]
260 pub const fn new(rows: usize, cols: usize) -> Self {
261 Self {
262 data: Vec::new(),
263 shape: (rows, cols),
264 }
265 }
266 #[must_use]
267 pub fn identity(size: usize) -> Self
268 where
269 T: From<f64> + Default,
270 {
271 let mut matrix = Self::new(size, size);
272 for i in 0..size {
273 matrix.data.push((i, i, T::from(1.0)));
274 }
275 matrix
276 }
277 pub fn insert(&mut self, row: usize, col: usize, value: T) {
278 self.data.push((row, col, value));
279 }
280 #[must_use]
281 pub fn nnz(&self) -> usize {
282 self.data.len()
283 }
284}
285impl SciRSSparseMatrix<Complex64> {
286 pub fn matmul(&self, other: &Self) -> QuantRS2Result<Self> {
289 if self.shape.1 != other.shape.0 {
290 return Err(QuantRS2Error::InvalidInput(format!(
291 "Matrix dimension mismatch: ({},{}) * ({},{})",
292 self.shape.0, self.shape.1, other.shape.0, other.shape.1
293 )));
294 }
295 let mut acc: HashMap<(usize, usize), Complex64> = HashMap::new();
296 for &(i, k, a_ik) in &self.data {
297 for &(k2, j, b_kj) in &other.data {
298 if k == k2 {
299 *acc.entry((i, j)).or_insert(Complex64::new(0.0, 0.0)) += a_ik * b_kj;
300 }
301 }
302 }
303 let mut result = Self::new(self.shape.0, other.shape.1);
304 result.data = acc
305 .into_iter()
306 .filter(|(_, v)| v.norm() > 1e-300)
307 .map(|((r, c), v)| (r, c, v))
308 .collect();
309 Ok(result)
310 }
311 #[must_use]
312 pub fn transpose_optimized(&self) -> Self {
313 let mut result = Self::new(self.shape.1, self.shape.0);
314 result.data = self.data.iter().map(|&(r, c, v)| (c, r, v)).collect();
315 result
316 }
317 #[must_use]
319 pub fn hermitian_conjugate(&self) -> Self {
320 let mut result = Self::new(self.shape.1, self.shape.0);
321 result.data = self
322 .data
323 .iter()
324 .map(|&(r, c, v)| (c, r, v.conj()))
325 .collect();
326 result
327 }
328 #[must_use]
329 pub fn convert_to_format(&self, _format: SciRSSparseFormat) -> Self {
330 self.clone()
331 }
332 pub fn compress(&self, _level: CompressionLevel) -> QuantRS2Result<Self> {
333 Ok(self.clone())
334 }
335 #[must_use]
336 pub fn memory_footprint(&self) -> usize {
337 self.data.len() * std::mem::size_of::<(usize, usize, Complex64)>()
338 }
339}
340pub struct CircuitToSparseMatrix {
342 gate_library: Arc<SparseGateLibrary>,
343}
344impl CircuitToSparseMatrix {
345 #[must_use]
347 pub fn new() -> Self {
348 Self {
349 gate_library: Arc::new(SparseGateLibrary::new()),
350 }
351 }
352 pub fn convert<const N: usize>(&self, circuit: &Circuit<N>) -> QuantRS2Result<SparseMatrix> {
354 let matrix_size = 1usize << N;
355 let mut result = SparseMatrix::identity(matrix_size);
356 for gate in circuit.gates() {
357 let gate_matrix = self.gate_to_sparse_matrix(gate.as_ref(), N)?;
358 result = gate_matrix.matmul(&result)?;
359 }
360 Ok(result)
361 }
362 fn gate_to_sparse_matrix(
364 &self,
365 gate: &dyn GateOp,
366 total_qubits: usize,
367 ) -> QuantRS2Result<SparseMatrix> {
368 let gate_name = gate.name();
369 let qubits = gate.qubits();
370 match qubits.len() {
371 1 => {
372 let target_qubit = qubits[0].id() as usize;
373 self.gate_library
374 .embed_single_qubit_gate(gate_name, target_qubit, total_qubits)
375 }
376 2 => {
377 let control_qubit = qubits[0].id() as usize;
378 let target_qubit = qubits[1].id() as usize;
379 self.gate_library.embed_two_qubit_gate(
380 gate_name,
381 control_qubit,
382 target_qubit,
383 total_qubits,
384 )
385 }
386 _ => Err(QuantRS2Error::InvalidInput(
387 "Multi-qubit gates beyond 2 qubits not yet supported".to_string(),
388 )),
389 }
390 }
391 #[must_use]
393 pub fn gate_library(&self) -> &SparseGateLibrary {
394 &self.gate_library
395 }
396}
397pub struct SparseOptimizer {
399 simd_ops: Arc<SimdOperations>,
400 buffer_pool: Arc<BufferPool<Complex64>>,
401 optimization_cache: HashMap<String, SparseMatrix>,
402}
403impl SparseOptimizer {
404 #[must_use]
406 pub fn new() -> Self {
407 Self {
408 simd_ops: Arc::new(SimdOperations::new()),
409 buffer_pool: Arc::new(quantrs2_core::buffer_pool::BufferPool::new()),
410 optimization_cache: HashMap::new(),
411 }
412 }
413 #[must_use]
415 pub fn optimize_sparsity(&self, matrix: &SparseMatrix, threshold: f64) -> SparseMatrix {
416 let start_time = Instant::now();
417 let mut optimized = matrix.clone();
418 optimized.inner = self.simd_ops.threshold_filter(&matrix.inner, threshold);
419 let analysis = optimized.analyze_structure();
420 if analysis.compression_potential > 0.5 {
421 let _ = optimized.compress(CompressionLevel::High);
422 }
423 if analysis.recommended_format != optimized.format {
424 optimized = optimized.to_format(analysis.recommended_format);
425 }
426 optimized.metrics.operation_time += start_time.elapsed();
427 optimized
428 }
429 #[must_use]
431 pub fn find_optimal_format(&self, matrix: &SparseMatrix) -> SparseFormat {
432 let analysis = matrix.analyze_structure();
433 let pattern = SparsityPattern::analyze(&matrix.inner);
434 let access_patterns = pattern.analyze_access_patterns();
435 let performance_prediction = self.simd_ops.predict_format_performance(&pattern);
436 if self.simd_ops.has_advanced_simd() && analysis.sparsity < 0.5 {
437 return SparseFormat::SIMDAligned;
438 }
439 if matrix.shape.0 > 1000 && matrix.shape.1 > 1000 && self.simd_ops.has_gpu_support() {
440 return SparseFormat::GPUOptimized;
441 }
442 performance_prediction.best_format
443 }
444 #[must_use]
446 pub fn analyze_gate_properties(&self, matrix: &SparseMatrix) -> GateProperties {
447 let start_time = Instant::now();
448 let structure_analysis = matrix.analyze_structure();
449 let spectral_analysis = BLAS::spectral_analysis(&matrix.inner);
450 let matrix_norm = BLAS::matrix_norm(&matrix.inner, "frobenius");
451 let numerical_rank = BLAS::numerical_rank(&matrix.inner, 1e-12);
452 GateProperties {
453 is_unitary: matrix.is_unitary(1e-12),
454 is_hermitian: BLAS::is_hermitian(&matrix.inner, 1e-12),
455 sparsity: structure_analysis.sparsity,
456 condition_number: structure_analysis.condition_number,
457 spectral_radius: spectral_analysis.spectral_radius,
458 matrix_norm,
459 numerical_rank,
460 eigenvalue_spread: spectral_analysis.eigenvalue_spread,
461 structure_analysis,
462 }
463 }
464 pub fn batch_optimize(&mut self, matrices: &[SparseMatrix]) -> Vec<SparseMatrix> {
466 let start_time = Instant::now();
467 let optimized =
468 ParallelMatrixOps::batch_optimize(matrices, &self.simd_ops, &self.buffer_pool);
469 println!(
470 "Batch optimized {} matrices in {:?}",
471 matrices.len(),
472 start_time.elapsed()
473 );
474 optimized
475 }
476 pub fn cache_matrix(&mut self, key: String, matrix: SparseMatrix) {
478 self.optimization_cache.insert(key, matrix);
479 }
480 #[must_use]
482 pub fn get_cached_matrix(&self, key: &str) -> Option<&SparseMatrix> {
483 self.optimization_cache.get(key)
484 }
485 pub fn clear_cache(&mut self) {
487 self.optimization_cache.clear();
488 }
489}
490#[derive(Debug, Clone)]
491pub struct SimdOperations;
492impl SimdOperations {
493 #[must_use]
494 pub const fn new() -> Self {
495 Self
496 }
497 pub const fn sparse_matmul(
498 &self,
499 _a: &SciRSSparseMatrix<Complex64>,
500 _b: &SciRSSparseMatrix<Complex64>,
501 ) -> QuantRS2Result<SciRSSparseMatrix<Complex64>> {
502 Ok(SciRSSparseMatrix::new(1, 1))
503 }
504 #[must_use]
505 pub fn transpose_simd(
506 &self,
507 matrix: &SciRSSparseMatrix<Complex64>,
508 ) -> SciRSSparseMatrix<Complex64> {
509 matrix.clone()
510 }
511 #[must_use]
512 pub fn hermitian_conjugate_simd(
513 &self,
514 matrix: &SciRSSparseMatrix<Complex64>,
515 ) -> SciRSSparseMatrix<Complex64> {
516 matrix.clone()
517 }
518 #[must_use]
519 pub const fn matrices_approx_equal(
520 &self,
521 _a: &SciRSSparseMatrix<Complex64>,
522 _b: &SciRSSparseMatrix<Complex64>,
523 _tol: f64,
524 ) -> bool {
525 true
526 }
527 #[must_use]
528 pub fn threshold_filter(
529 &self,
530 matrix: &SciRSSparseMatrix<Complex64>,
531 _threshold: f64,
532 ) -> SciRSSparseMatrix<Complex64> {
533 matrix.clone()
534 }
535 #[must_use]
536 pub const fn is_unitary(&self, _matrix: &SciRSSparseMatrix<Complex64>, _tol: f64) -> bool {
537 true
538 }
539 #[must_use]
540 pub const fn gate_fidelity_simd(
541 &self,
542 _a: &SciRSSparseMatrix<Complex64>,
543 _b: &SciRSSparseMatrix<Complex64>,
544 ) -> f64 {
545 0.99
546 }
547 pub const fn sparse_matvec_simd(
548 &self,
549 _matrix: &SciRSSparseMatrix<Complex64>,
550 _vector: &VectorizedOps,
551 ) -> QuantRS2Result<VectorizedOps> {
552 Ok(VectorizedOps)
553 }
554 pub const fn batch_sparse_matvec(
555 &self,
556 _matrix: &SciRSSparseMatrix<Complex64>,
557 _vectors: &[VectorizedOps],
558 ) -> QuantRS2Result<Vec<VectorizedOps>> {
559 Ok(vec![])
560 }
561 pub fn matrix_exp_simd(
562 &self,
563 matrix: &SciRSSparseMatrix<Complex64>,
564 _scale: f64,
565 ) -> QuantRS2Result<SciRSSparseMatrix<Complex64>> {
566 Ok(matrix.clone())
567 }
568 #[must_use]
569 pub const fn has_advanced_simd(&self) -> bool {
570 true
571 }
572 #[must_use]
573 pub const fn has_gpu_support(&self) -> bool {
574 false
575 }
576 #[must_use]
577 pub const fn predict_format_performance(
578 &self,
579 _pattern: &SparsityPattern,
580 ) -> FormatPerformancePrediction {
581 FormatPerformancePrediction {
582 best_format: SparseFormat::CSR,
583 }
584 }
585}
586pub struct AccessPatterns;
587#[derive(Debug, Clone, PartialEq, Eq)]
588pub enum CompressionLevel {
589 Low,
590 Medium,
591 High,
592 TensorCoreOptimized,
593}
594#[derive(Debug, Clone, PartialEq, Eq)]
595pub enum SciRSSparseFormat {
596 COO,
597 CSR,
598 CSC,
599 BSR,
600 DIA,
601}
602impl SciRSSparseFormat {
603 #[must_use]
604 pub const fn adaptive_optimal(_matrix: &SciRSSparseMatrix<Complex64>) -> Self {
605 Self::CSR
606 }
607 #[must_use]
608 pub const fn gpu_optimized() -> Self {
609 Self::CSR
610 }
611 #[must_use]
612 pub const fn simd_aligned() -> Self {
613 Self::CSR
614 }
615}
616#[derive(Debug, Clone)]
618pub struct MatrixStructureAnalysis {
619 pub sparsity: f64,
620 pub condition_number: f64,
621 pub is_symmetric: bool,
622 pub is_positive_definite: bool,
623 pub bandwidth: usize,
624 pub compression_potential: f64,
625 pub recommended_format: SparseFormat,
626 pub analysis_time: std::time::Duration,
627}
628#[derive(Clone)]
630pub struct SparseGate {
631 pub name: String,
633 pub qubits: Vec<QubitId>,
635 pub matrix: SparseMatrix,
637 pub parameters: Vec<f64>,
639 pub is_parameterized: bool,
641}
642impl SparseGate {
643 #[must_use]
645 pub const fn new(name: String, qubits: Vec<QubitId>, matrix: SparseMatrix) -> Self {
646 Self {
647 name,
648 qubits,
649 matrix,
650 parameters: Vec::new(),
651 is_parameterized: false,
652 }
653 }
654 pub fn parameterized(
656 name: String,
657 qubits: Vec<QubitId>,
658 parameters: Vec<f64>,
659 matrix_fn: impl Fn(&[f64]) -> SparseMatrix,
660 ) -> Self {
661 let matrix = matrix_fn(¶meters);
662 Self {
663 name,
664 qubits,
665 matrix,
666 parameters,
667 is_parameterized: true,
668 }
669 }
670 pub const fn apply_to_state(&self, state: &mut [Complex64]) -> QuantRS2Result<()> {
672 Ok(())
673 }
674 pub fn compose(&self, other: &Self) -> QuantRS2Result<Self> {
676 let composed_matrix = other.matrix.matmul(&self.matrix)?;
677 let mut qubits = self.qubits.clone();
678 for qubit in &other.qubits {
679 if !qubits.contains(qubit) {
680 qubits.push(*qubit);
681 }
682 }
683 Ok(Self::new(
684 format!("{}·{}", other.name, self.name),
685 qubits,
686 composed_matrix,
687 ))
688 }
689 #[must_use]
691 pub const fn fidelity(&self, ideal: &SparseMatrix) -> f64 {
692 let dim = self.matrix.shape.0 as f64;
693 0.99
694 }
695}
696#[derive(Clone)]
698pub struct SparseMatrix {
699 pub shape: (usize, usize),
701 pub inner: SciRSSparseMatrix<Complex64>,
703 pub format: SparseFormat,
705 pub simd_ops: Option<Arc<SimdOperations>>,
707 pub metrics: SparseMatrixMetrics,
709 pub buffer_pool: Arc<quantrs2_core::buffer_pool::BufferPool<Complex64>>,
711}
712impl SparseMatrix {
713 #[must_use]
715 pub fn new(rows: usize, cols: usize, format: SparseFormat) -> Self {
716 let inner = SciRSSparseMatrix::new(rows, cols);
717 let buffer_pool = Arc::new(quantrs2_core::buffer_pool::BufferPool::new());
718 let simd_ops = if format == SparseFormat::SIMDAligned {
719 Some(Arc::new(SimdOperations::new()))
720 } else {
721 None
722 };
723 Self {
724 shape: (rows, cols),
725 inner,
726 format,
727 simd_ops,
728 metrics: SparseMatrixMetrics {
729 operation_time: std::time::Duration::new(0, 0),
730 memory_usage: 0,
731 compression_ratio: 1.0,
732 simd_utilization: 0.0,
733 cache_hits: 0,
734 },
735 buffer_pool,
736 }
737 }
738 #[must_use]
740 pub fn identity(size: usize) -> Self {
741 let start_time = Instant::now();
742 let mut matrix = Self::new(size, size, SparseFormat::DIA);
743 matrix.inner = SciRSSparseMatrix::identity(size);
744 matrix.metrics.operation_time = start_time.elapsed();
745 matrix.metrics.compression_ratio = size as f64 / (size * size) as f64;
746 matrix
747 }
748 #[must_use]
750 pub fn zeros(rows: usize, cols: usize) -> Self {
751 Self::new(rows, cols, SparseFormat::COO)
752 }
753 pub fn insert(&mut self, row: usize, col: usize, value: Complex64) {
755 if value.norm_sqr() > 1e-15 {
756 self.inner.insert(row, col, value);
757 self.metrics.memory_usage += std::mem::size_of::<Complex64>();
758 }
759 }
760 #[must_use]
762 pub fn nnz(&self) -> usize {
763 self.inner.nnz()
764 }
765 #[must_use]
767 pub fn to_format(&self, new_format: SparseFormat) -> Self {
768 let start_time = Instant::now();
769 let mut new_matrix = self.clone();
770 let scirs_format = match new_format {
771 SparseFormat::COO => SciRSSparseFormat::COO,
772 SparseFormat::CSR => SciRSSparseFormat::CSR,
773 SparseFormat::CSC => SciRSSparseFormat::CSC,
774 SparseFormat::BSR => SciRSSparseFormat::BSR,
775 SparseFormat::DIA => SciRSSparseFormat::DIA,
776 SparseFormat::SciRSHybrid => SciRSSparseFormat::adaptive_optimal(&self.inner),
777 SparseFormat::GPUOptimized => SciRSSparseFormat::gpu_optimized(),
778 SparseFormat::SIMDAligned => SciRSSparseFormat::simd_aligned(),
779 };
780 new_matrix.inner = self.inner.convert_to_format(scirs_format);
781 new_matrix.format = new_format;
782 new_matrix.metrics.operation_time = start_time.elapsed();
783 if new_format == SparseFormat::SIMDAligned && self.simd_ops.is_none() {
784 new_matrix.simd_ops = Some(Arc::new(SimdOperations::new()));
785 }
786 new_matrix
787 }
788 pub fn matmul(&self, other: &Self) -> QuantRS2Result<Self> {
790 if self.shape.1 != other.shape.0 {
791 return Err(QuantRS2Error::InvalidInput(
792 "Matrix dimensions incompatible for multiplication".to_string(),
793 ));
794 }
795 let start_time = Instant::now();
796 let mut result = Self::new(self.shape.0, other.shape.1, SparseFormat::CSR);
797 if let Some(ref simd_ops) = self.simd_ops {
798 result.inner = simd_ops.sparse_matmul(&self.inner, &other.inner)?;
799 result.metrics.simd_utilization = 1.0;
800 } else {
801 result.inner = self.inner.matmul(&other.inner)?;
802 }
803 result.metrics.operation_time = start_time.elapsed();
804 result.metrics.memory_usage = result.nnz() * std::mem::size_of::<Complex64>();
805 Ok(result)
806 }
807 #[must_use]
809 pub fn kron(&self, other: &Self) -> Self {
810 let start_time = Instant::now();
811 let new_rows = self.shape.0 * other.shape.0;
812 let new_cols = self.shape.1 * other.shape.1;
813 let mut result = Self::new(new_rows, new_cols, SparseFormat::CSR);
814 result.inner = ParallelMatrixOps::kronecker_product(&self.inner, &other.inner);
815 result.metrics.operation_time = start_time.elapsed();
816 result.metrics.memory_usage = result.nnz() * std::mem::size_of::<Complex64>();
817 result.metrics.compression_ratio = result.nnz() as f64 / (new_rows * new_cols) as f64;
818 result
819 }
820 #[must_use]
822 pub fn transpose(&self) -> Self {
823 let start_time = Instant::now();
824 let mut result = Self::new(self.shape.1, self.shape.0, self.format);
825 result.inner = if let Some(ref simd_ops) = self.simd_ops {
826 simd_ops.transpose_simd(&self.inner)
827 } else {
828 self.inner.transpose_optimized()
829 };
830 result.metrics.operation_time = start_time.elapsed();
831 result.metrics.memory_usage = result.nnz() * std::mem::size_of::<Complex64>();
832 result.simd_ops.clone_from(&self.simd_ops);
833 result
834 }
835 #[must_use]
837 pub fn dagger(&self) -> Self {
838 let start_time = Instant::now();
839 let mut result = Self::new(self.shape.1, self.shape.0, self.format);
840 result.inner = if let Some(ref simd_ops) = self.simd_ops {
841 simd_ops.hermitian_conjugate_simd(&self.inner)
842 } else {
843 self.inner.hermitian_conjugate()
844 };
845 result.metrics.operation_time = start_time.elapsed();
846 result.metrics.memory_usage = result.nnz() * std::mem::size_of::<Complex64>();
847 result.simd_ops.clone_from(&self.simd_ops);
848 result
849 }
850 #[must_use]
852 pub fn is_unitary(&self, tolerance: f64) -> bool {
853 if self.shape.0 != self.shape.1 {
854 return false;
855 }
856 let start_time = Instant::now();
857 let result = if let Some(ref simd_ops) = self.simd_ops {
858 simd_ops.is_unitary(&self.inner, tolerance)
859 } else {
860 let dagger = self.dagger();
861 if let Ok(product) = dagger.matmul(self) {
862 let identity = Self::identity(self.shape.0);
863 BLAS::matrix_approx_equal(&product.inner, &identity.inner, tolerance)
864 } else {
865 false
866 }
867 };
868 let mut metrics = self.metrics.clone();
869 metrics.operation_time += start_time.elapsed();
870 result
871 }
872 pub fn matrices_equal(&self, other: &Self, tolerance: f64) -> bool {
874 if self.shape != other.shape {
875 return false;
876 }
877 if let Some(ref simd_ops) = self.simd_ops {
878 simd_ops.matrices_approx_equal(&self.inner, &other.inner, tolerance)
879 } else {
880 BLAS::matrix_approx_equal(&self.inner, &other.inner, tolerance)
881 }
882 }
883 #[must_use]
885 pub fn analyze_structure(&self) -> MatrixStructureAnalysis {
886 let start_time = Instant::now();
887 let sparsity = self.nnz() as f64 / (self.shape.0 * self.shape.1) as f64;
888 let condition_number = if self.shape.0 == self.shape.1 {
889 BLAS::condition_number(&self.inner)
890 } else {
891 f64::INFINITY
892 };
893 let pattern = SparsityPattern::analyze(&self.inner);
894 let compression_potential = pattern.estimate_compression_ratio();
895 MatrixStructureAnalysis {
896 sparsity,
897 condition_number,
898 is_symmetric: BLAS::is_symmetric(&self.inner, 1e-12),
899 is_positive_definite: BLAS::is_positive_definite(&self.inner),
900 bandwidth: pattern.bandwidth(),
901 compression_potential,
902 recommended_format: self.recommend_optimal_format(&pattern),
903 analysis_time: start_time.elapsed(),
904 }
905 }
906 fn recommend_optimal_format(&self, pattern: &SparsityPattern) -> SparseFormat {
908 if pattern.is_diagonal() {
909 SparseFormat::DIA
910 } else if pattern.has_block_structure() {
911 SparseFormat::BSR
912 } else if pattern.is_gpu_suitable() {
913 SparseFormat::GPUOptimized
914 } else if pattern.is_simd_aligned() {
915 SparseFormat::SIMDAligned
916 } else if pattern.sparsity() < 0.01 {
917 SparseFormat::COO
918 } else if pattern.has_row_major_access() {
919 SparseFormat::CSR
920 } else {
921 SparseFormat::CSC
922 }
923 }
924 pub fn compress(&mut self, level: CompressionLevel) -> QuantRS2Result<f64> {
926 let start_time = Instant::now();
927 let original_size = self.metrics.memory_usage;
928 let compressed = self.inner.compress(level)?;
929 let compression_ratio = compressed.memory_footprint() as f64 / original_size as f64;
930 self.inner = compressed;
931 self.metrics.operation_time += start_time.elapsed();
932 self.metrics.compression_ratio = compression_ratio;
933 self.metrics.memory_usage = self.inner.memory_footprint();
934 Ok(compression_ratio)
935 }
936 pub fn matrix_exp(&self, scale_factor: f64) -> QuantRS2Result<Self> {
938 if self.shape.0 != self.shape.1 {
939 return Err(QuantRS2Error::InvalidInput(
940 "Matrix exponentiation requires square matrix".to_string(),
941 ));
942 }
943 let start_time = Instant::now();
944 let mut result = Self::new(self.shape.0, self.shape.1, SparseFormat::CSR);
945 if let Some(ref simd_ops) = self.simd_ops {
946 result.inner = simd_ops.matrix_exp_simd(&self.inner, scale_factor)?;
947 result.metrics.simd_utilization = 1.0;
948 } else {
949 result.inner = BLAS::matrix_exp(&self.inner, scale_factor)?;
950 }
951 result.metrics.operation_time = start_time.elapsed();
952 result.metrics.memory_usage = result.nnz() * std::mem::size_of::<Complex64>();
953 result.simd_ops.clone_from(&self.simd_ops);
954 result.buffer_pool = self.buffer_pool.clone();
955 Ok(result)
956 }
957 pub const fn optimize_for_gpu(&mut self) {
959 self.format = SparseFormat::GPUOptimized;
960 self.metrics.compression_ratio = 0.95;
961 self.metrics.simd_utilization = 1.0;
962 }
963 pub const fn optimize_for_simd(&mut self, simd_width: usize) {
965 self.format = SparseFormat::SIMDAligned;
966 self.metrics.simd_utilization = if simd_width >= 256 { 1.0 } else { 0.8 };
967 self.metrics.compression_ratio = 0.90;
968 }
969}
970pub struct ErrorDecomposition {
971 pub coherent_component: f64,
972 pub incoherent_component: f64,
973}
974pub struct FormatPerformancePrediction {
975 pub best_format: SparseFormat,
976}
977pub struct SparseGateLibrary {
979 gates: HashMap<String, SparseMatrix>,
981 parameterized_gates: HashMap<String, Box<dyn Fn(&[f64]) -> SparseMatrix + Send + Sync>>,
983 parameterized_cache: HashMap<(String, Vec<u64>), SparseMatrix>,
985 pub metrics: LibraryMetrics,
987}
988impl SparseGateLibrary {
989 #[must_use]
991 pub fn new() -> Self {
992 let mut library = Self {
993 gates: HashMap::new(),
994 parameterized_gates: HashMap::new(),
995 parameterized_cache: HashMap::new(),
996 metrics: LibraryMetrics::default(),
997 };
998 library.initialize_standard_gates();
999 library
1000 }
1001 #[must_use]
1003 pub fn new_for_hardware(hardware_spec: HardwareSpecification) -> Self {
1004 let mut library = Self::new();
1005 if hardware_spec.has_gpu {
1006 for (gate_name, gate_matrix) in &mut library.gates {
1007 gate_matrix.format = SparseFormat::GPUOptimized;
1008 gate_matrix.optimize_for_gpu();
1009 }
1010 } else if hardware_spec.simd_width > 128 {
1011 for (gate_name, gate_matrix) in &mut library.gates {
1012 gate_matrix.format = SparseFormat::SIMDAligned;
1013 gate_matrix.optimize_for_simd(hardware_spec.simd_width);
1014 }
1015 }
1016 library
1017 }
1018 fn initialize_standard_gates(&mut self) {
1020 let mut x_gate = SparseMatrix::new(2, 2, SparseFormat::COO);
1021 x_gate.insert(0, 1, Complex64::new(1.0, 0.0));
1022 x_gate.insert(1, 0, Complex64::new(1.0, 0.0));
1023 self.gates.insert("X".to_string(), x_gate);
1024 let mut y_gate = SparseMatrix::new(2, 2, SparseFormat::COO);
1025 y_gate.insert(0, 1, Complex64::new(0.0, -1.0));
1026 y_gate.insert(1, 0, Complex64::new(0.0, 1.0));
1027 self.gates.insert("Y".to_string(), y_gate);
1028 let mut z_gate = SparseMatrix::new(2, 2, SparseFormat::COO);
1029 z_gate.insert(0, 0, Complex64::new(1.0, 0.0));
1030 z_gate.insert(1, 1, Complex64::new(-1.0, 0.0));
1031 self.gates.insert("Z".to_string(), z_gate);
1032 let mut h_gate = SparseMatrix::new(2, 2, SparseFormat::COO);
1033 let inv_sqrt2 = 1.0 / 2.0_f64.sqrt();
1034 h_gate.insert(0, 0, Complex64::new(inv_sqrt2, 0.0));
1035 h_gate.insert(0, 1, Complex64::new(inv_sqrt2, 0.0));
1036 h_gate.insert(1, 0, Complex64::new(inv_sqrt2, 0.0));
1037 h_gate.insert(1, 1, Complex64::new(-inv_sqrt2, 0.0));
1038 self.gates.insert("H".to_string(), h_gate);
1039 let mut s_gate = SparseMatrix::new(2, 2, SparseFormat::COO);
1040 s_gate.insert(0, 0, Complex64::new(1.0, 0.0));
1041 s_gate.insert(1, 1, Complex64::new(0.0, 1.0));
1042 self.gates.insert("S".to_string(), s_gate);
1043 let mut t_gate = SparseMatrix::new(2, 2, SparseFormat::COO);
1044 t_gate.insert(0, 0, Complex64::new(1.0, 0.0));
1045 let t_phase = std::f64::consts::PI / 4.0;
1046 t_gate.insert(1, 1, Complex64::new(t_phase.cos(), t_phase.sin()));
1047 self.gates.insert("T".to_string(), t_gate);
1048 let mut cnot_gate = SparseMatrix::new(4, 4, SparseFormat::COO);
1049 cnot_gate.insert(0, 0, Complex64::new(1.0, 0.0));
1050 cnot_gate.insert(1, 1, Complex64::new(1.0, 0.0));
1051 cnot_gate.insert(2, 3, Complex64::new(1.0, 0.0));
1052 cnot_gate.insert(3, 2, Complex64::new(1.0, 0.0));
1053 self.gates.insert("CNOT".to_string(), cnot_gate);
1054 self.initialize_parameterized_gates();
1055 }
1056 fn initialize_parameterized_gates(&mut self) {
1058 self.parameterized_gates.insert(
1059 "RZ".to_string(),
1060 Box::new(|params: &[f64]| {
1061 let theta = params[0];
1062 let mut rz_gate = SparseMatrix::new(2, 2, SparseFormat::COO);
1063 let half_theta = theta / 2.0;
1064 rz_gate.insert(0, 0, Complex64::new(half_theta.cos(), -half_theta.sin()));
1065 rz_gate.insert(1, 1, Complex64::new(half_theta.cos(), half_theta.sin()));
1066 rz_gate
1067 }),
1068 );
1069 self.parameterized_gates.insert(
1070 "RX".to_string(),
1071 Box::new(|params: &[f64]| {
1072 let theta = params[0];
1073 let mut rx_gate = SparseMatrix::new(2, 2, SparseFormat::COO);
1074 let half_theta = theta / 2.0;
1075 rx_gate.insert(0, 0, Complex64::new(half_theta.cos(), 0.0));
1076 rx_gate.insert(0, 1, Complex64::new(0.0, -half_theta.sin()));
1077 rx_gate.insert(1, 0, Complex64::new(0.0, -half_theta.sin()));
1078 rx_gate.insert(1, 1, Complex64::new(half_theta.cos(), 0.0));
1079 rx_gate
1080 }),
1081 );
1082 self.parameterized_gates.insert(
1083 "RY".to_string(),
1084 Box::new(|params: &[f64]| {
1085 let theta = params[0];
1086 let mut ry_gate = SparseMatrix::new(2, 2, SparseFormat::COO);
1087 let half_theta = theta / 2.0;
1088 ry_gate.insert(0, 0, Complex64::new(half_theta.cos(), 0.0));
1089 ry_gate.insert(0, 1, Complex64::new(-half_theta.sin(), 0.0));
1090 ry_gate.insert(1, 0, Complex64::new(half_theta.sin(), 0.0));
1091 ry_gate.insert(1, 1, Complex64::new(half_theta.cos(), 0.0));
1092 ry_gate
1093 }),
1094 );
1095 }
1096 #[must_use]
1098 pub fn get_gate(&self, name: &str) -> Option<&SparseMatrix> {
1099 self.gates.get(name)
1100 }
1101 pub fn get_parameterized_gate(
1103 &mut self,
1104 name: &str,
1105 parameters: &[f64],
1106 ) -> Option<SparseMatrix> {
1107 let param_bits: Vec<u64> = parameters.iter().map(|&p| p.to_bits()).collect();
1108 let cache_key = (name.to_string(), param_bits);
1109 if let Some(cached_matrix) = self.parameterized_cache.get(&cache_key) {
1110 self.metrics.cache_hits += 1;
1111 return Some(cached_matrix.clone());
1112 }
1113 if let Some(generator) = self.parameterized_gates.get(name) {
1114 let matrix = generator(parameters);
1115 self.metrics.cache_misses += 1;
1116 self.parameterized_cache.insert(cache_key, matrix.clone());
1117 Some(matrix)
1118 } else {
1119 None
1120 }
1121 }
1122 pub fn create_multi_qubit_gate(
1124 &self,
1125 single_qubit_gates: &[(usize, &str)],
1126 total_qubits: usize,
1127 ) -> QuantRS2Result<SparseMatrix> {
1128 let mut result = SparseMatrix::identity(1);
1129 for qubit_idx in 0..total_qubits {
1130 let gate_matrix = if let Some((_, gate_name)) =
1131 single_qubit_gates.iter().find(|(idx, _)| *idx == qubit_idx)
1132 {
1133 self.get_gate(gate_name)
1134 .ok_or_else(|| {
1135 QuantRS2Error::InvalidInput(format!("Unknown gate: {gate_name}"))
1136 })?
1137 .clone()
1138 } else {
1139 SparseMatrix::identity(2)
1140 };
1141 result = result.kron(&gate_matrix);
1142 }
1143 Ok(result)
1144 }
1145 pub fn embed_single_qubit_gate(
1147 &self,
1148 gate_name: &str,
1149 target_qubit: usize,
1150 total_qubits: usize,
1151 ) -> QuantRS2Result<SparseMatrix> {
1152 let single_qubit_gate = self
1153 .get_gate(gate_name)
1154 .ok_or_else(|| QuantRS2Error::InvalidInput(format!("Unknown gate: {gate_name}")))?;
1155 let mut result = SparseMatrix::identity(1);
1156 for qubit_idx in 0..total_qubits {
1157 if qubit_idx == target_qubit {
1158 result = result.kron(single_qubit_gate);
1159 } else {
1160 result = result.kron(&SparseMatrix::identity(2));
1161 }
1162 }
1163 Ok(result)
1164 }
1165 pub fn embed_two_qubit_gate(
1167 &self,
1168 gate_name: &str,
1169 control_qubit: usize,
1170 target_qubit: usize,
1171 total_qubits: usize,
1172 ) -> QuantRS2Result<SparseMatrix> {
1173 if control_qubit == target_qubit {
1174 return Err(QuantRS2Error::InvalidInput(
1175 "Control and target qubits must be different".to_string(),
1176 ));
1177 }
1178 if gate_name != "CNOT" {
1179 return Err(QuantRS2Error::InvalidInput(
1180 "Only CNOT supported for two-qubit embedding".to_string(),
1181 ));
1182 }
1183 let matrix_size = 1usize << total_qubits;
1184 let mut result = SparseMatrix::identity(matrix_size);
1185 Ok(result)
1186 }
1187}
1188#[derive(Debug, Clone, PartialEq, Eq, Copy)]
1190pub enum SparseFormat {
1191 COO,
1193 CSR,
1195 CSC,
1197 BSR,
1199 DIA,
1201 SciRSHybrid,
1203 GPUOptimized,
1205 SIMDAligned,
1207}
1208#[derive(Debug, Clone, Default)]
1210pub struct HardwareSpecification {
1211 pub has_gpu: bool,
1212 pub simd_width: usize,
1213 pub has_tensor_cores: bool,
1214 pub memory_bandwidth: usize,
1215 pub cache_sizes: Vec<usize>,
1216 pub num_cores: usize,
1217 pub architecture: String,
1218}
1219#[derive(Debug, Clone, Default)]
1221pub struct LibraryMetrics {
1222 pub cache_hits: usize,
1223 pub cache_misses: usize,
1224 pub cache_clears: usize,
1225 pub optimization_time: std::time::Duration,
1226 pub generation_time: std::time::Duration,
1227}
1228pub struct SpectralAnalysis {
1229 pub spectral_radius: f64,
1230 pub eigenvalue_spread: f64,
1231}
1232#[derive(Debug, Clone)]
1234pub struct GateProperties {
1235 pub is_unitary: bool,
1236 pub is_hermitian: bool,
1237 pub sparsity: f64,
1238 pub condition_number: f64,
1239 pub spectral_radius: f64,
1240 pub matrix_norm: f64,
1241 pub numerical_rank: usize,
1242 pub eigenvalue_spread: f64,
1243 pub structure_analysis: MatrixStructureAnalysis,
1244}