quantrs2_device/qec/
codes.rs

1//! Quantum Error Correction Code Types and Configurations
2
3use serde::{Deserialize, Serialize};
4use std::collections::HashMap;
5
6/// Types of quantum error correction codes
7#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
8pub enum QECCodeType {
9    /// Surface codes
10    SurfaceCode {
11        distance: usize,
12        layout: SurfaceCodeLayout,
13    },
14    /// Color codes
15    ColorCode {
16        distance: usize,
17        color_type: ColorCodeType,
18    },
19    /// Topological codes
20    TopologicalCode { code_type: TopologicalCodeType },
21    /// CSS codes
22    CSSCode { stabilizers: Vec<String> },
23    /// Steane code
24    SteaneCode,
25    /// Shor code
26    ShorCode,
27    /// Repetition code
28    RepetitionCode { length: usize },
29    /// Custom code
30    CustomCode {
31        name: String,
32        parameters: HashMap<String, f64>,
33    },
34}
35
36/// Surface code layouts
37#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
38pub enum SurfaceCodeLayout {
39    Square,
40    Triangular,
41    Hexagonal,
42    Rotated,
43    Custom(String),
44}
45
46/// Color code types
47#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
48pub enum ColorCodeType {
49    TriangularLattice,
50    HexagonalLattice,
51    Custom(String),
52}
53
54/// Topological code types
55#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
56pub enum TopologicalCodeType {
57    ToricCode,
58    PlanarCode,
59    TwistedToricCode,
60    Custom(String),
61}
62
63/// Surface code configuration
64#[derive(Debug, Clone, Serialize, Deserialize)]
65pub struct SurfaceCodeConfig {
66    /// Code distance
67    pub distance: usize,
68    /// Layout type
69    pub layout: SurfaceCodeLayout,
70    /// Physical qubit allocation
71    pub qubit_allocation: QubitAllocation,
72    /// Stabilizer configuration
73    pub stabilizer_config: StabilizerConfig,
74    /// Boundary conditions
75    pub boundary_conditions: BoundaryConditions,
76}
77
78/// Qubit allocation for surface codes
79#[derive(Debug, Clone, Serialize, Deserialize)]
80pub struct QubitAllocation {
81    /// Data qubits
82    pub data_qubits: Vec<usize>,
83    /// Syndrome qubits
84    pub syndrome_qubits: Vec<usize>,
85    /// Auxiliary qubits
86    pub auxiliary_qubits: Vec<usize>,
87    /// Spare qubits for replacement
88    pub spare_qubits: Vec<usize>,
89}
90
91/// Stabilizer configuration
92#[derive(Debug, Clone, Serialize, Deserialize)]
93pub struct StabilizerConfig {
94    /// X stabilizers
95    pub x_stabilizers: Vec<Stabilizer>,
96    /// Z stabilizers
97    pub z_stabilizers: Vec<Stabilizer>,
98    /// Measurement schedule
99    pub measurement_schedule: MeasurementSchedule,
100    /// Error detection threshold
101    pub error_threshold: f64,
102}
103
104/// Individual stabilizer definition
105#[derive(Debug, Clone, Serialize, Deserialize)]
106pub struct Stabilizer {
107    /// Qubits involved in the stabilizer
108    pub qubits: Vec<usize>,
109    /// Pauli operators for each qubit
110    pub operators: Vec<PauliOperator>,
111    /// Weight of the stabilizer
112    pub weight: usize,
113    /// Expected eigenvalue
114    pub expected_eigenvalue: i8,
115}
116
117/// Pauli operators
118#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
119pub enum PauliOperator {
120    I, // Identity
121    X, // Pauli-X
122    Y, // Pauli-Y
123    Z, // Pauli-Z
124}
125
126/// Measurement schedule for stabilizers
127#[derive(Debug, Clone, Serialize, Deserialize)]
128pub struct MeasurementSchedule {
129    /// Stabilizer measurement order
130    pub measurement_order: Vec<usize>,
131    /// Time between measurements
132    pub measurement_interval: std::time::Duration,
133    /// Parallel measurement groups
134    pub parallel_groups: Vec<Vec<usize>>,
135    /// Adaptive scheduling
136    pub adaptive_scheduling: bool,
137}
138
139/// Boundary conditions for codes
140#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
141pub enum BoundaryConditions {
142    Open,
143    Periodic,
144    Twisted,
145    Rough,
146    Smooth,
147}
148
149/// Color code configuration
150#[derive(Debug, Clone, Serialize, Deserialize)]
151pub struct ColorCodeConfig {
152    /// Code distance
153    pub distance: usize,
154    /// Color code type
155    pub color_type: ColorCodeType,
156    /// Face coloring
157    pub face_coloring: FaceColoring,
158    /// Vertex operators
159    pub vertex_operators: Vec<VertexOperator>,
160    /// Face operators
161    pub face_operators: Vec<FaceOperator>,
162}
163
164/// Face coloring for color codes
165#[derive(Debug, Clone, Serialize, Deserialize)]
166pub struct FaceColoring {
167    /// Color assignments
168    pub color_assignments: HashMap<usize, Color>,
169    /// Color constraints
170    pub constraints: Vec<ColorConstraint>,
171}
172
173/// Color types for color codes
174#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
175pub enum Color {
176    Red,
177    Green,
178    Blue,
179}
180
181/// Color constraints
182#[derive(Debug, Clone, Serialize, Deserialize)]
183pub struct ColorConstraint {
184    /// Constraint type
185    pub constraint_type: ConstraintType,
186    /// Affected faces
187    pub faces: Vec<usize>,
188    /// Required colors
189    pub required_colors: Vec<Color>,
190}
191
192/// Types of color constraints
193#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
194pub enum ConstraintType {
195    AdjacentFaces,
196    VertexNeighbors,
197    EdgeConnected,
198}
199
200/// Vertex operators for color codes
201#[derive(Debug, Clone, Serialize, Deserialize)]
202pub struct VertexOperator {
203    /// Vertex index
204    pub vertex: usize,
205    /// Connected qubits
206    pub qubits: Vec<usize>,
207    /// Operator type
208    pub operator_type: VertexOperatorType,
209}
210
211/// Types of vertex operators
212#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
213pub enum VertexOperatorType {
214    XType,
215    ZType,
216    YType,
217}
218
219/// Face operators for color codes
220#[derive(Debug, Clone, Serialize, Deserialize)]
221pub struct FaceOperator {
222    /// Face index
223    pub face: usize,
224    /// Face color
225    pub color: Color,
226    /// Boundary qubits
227    pub boundary_qubits: Vec<usize>,
228    /// Operator weight
229    pub weight: usize,
230}
231
232/// Topological code configuration
233#[derive(Debug, Clone, Serialize, Deserialize)]
234pub struct TopologicalCodeConfig {
235    /// Code type
236    pub code_type: TopologicalCodeType,
237    /// Lattice configuration
238    pub lattice: LatticeConfig,
239    /// Logical operators
240    pub logical_operators: LogicalOperators,
241    /// Syndrome extraction
242    pub syndrome_extraction: SyndromeExtractionConfig,
243}
244
245/// Lattice configuration for topological codes
246#[derive(Debug, Clone, Serialize, Deserialize)]
247pub struct LatticeConfig {
248    /// Lattice dimensions
249    pub dimensions: (usize, usize),
250    /// Periodic boundaries
251    pub periodic: bool,
252    /// Twisted boundaries
253    pub twisted: bool,
254    /// Defect locations
255    pub defects: Vec<DefectLocation>,
256}
257
258/// Defect location in lattice
259#[derive(Debug, Clone, Serialize, Deserialize)]
260pub struct DefectLocation {
261    /// Position
262    pub position: (usize, usize),
263    /// Defect type
264    pub defect_type: DefectType,
265}
266
267/// Types of defects in topological codes
268#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
269pub enum DefectType {
270    Hole,
271    Twist,
272    Boundary,
273    Custom(String),
274}
275
276/// Logical operators for topological codes
277#[derive(Debug, Clone, Serialize, Deserialize)]
278pub struct LogicalOperators {
279    /// Logical X operators
280    pub logical_x: Vec<LogicalOperator>,
281    /// Logical Z operators
282    pub logical_z: Vec<LogicalOperator>,
283    /// Commutation relations
284    pub commutation_relations: CommutationTable,
285}
286
287/// Individual logical operator
288#[derive(Debug, Clone, Serialize, Deserialize)]
289pub struct LogicalOperator {
290    /// Operator path
291    pub path: Vec<usize>,
292    /// Operator type
293    pub operator_type: LogicalOperatorType,
294    /// Homology class
295    pub homology_class: Vec<i32>,
296}
297
298/// Types of logical operators
299#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
300pub enum LogicalOperatorType {
301    XOperator,
302    ZOperator,
303    YOperator,
304}
305
306/// Commutation table for logical operators
307#[derive(Debug, Clone, Serialize, Deserialize)]
308pub struct CommutationTable {
309    /// Commutation matrix
310    pub matrix: Vec<Vec<i8>>,
311    /// Operator labels
312    pub labels: Vec<String>,
313}
314
315/// Syndrome extraction configuration
316#[derive(Debug, Clone, Serialize, Deserialize)]
317pub struct SyndromeExtractionConfig {
318    /// Extraction method
319    pub method: ExtractionMethod,
320    /// Measurement circuits
321    pub measurement_circuits: Vec<MeasurementCircuit>,
322    /// Error correction cycles
323    pub correction_cycles: usize,
324}
325
326/// Syndrome extraction methods
327#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
328pub enum ExtractionMethod {
329    Standard,
330    Fast,
331    Adaptive,
332    FaultTolerant,
333}
334
335/// Measurement circuit for syndrome extraction
336#[derive(Debug, Clone, Serialize, Deserialize)]
337pub struct MeasurementCircuit {
338    /// Circuit gates
339    pub gates: Vec<Gate>,
340    /// Measurement qubits
341    pub measurement_qubits: Vec<usize>,
342    /// Classical registers
343    pub classical_registers: Vec<usize>,
344}
345
346/// Gate definition for measurement circuits
347#[derive(Debug, Clone, Serialize, Deserialize)]
348pub struct Gate {
349    /// Gate type
350    pub gate_type: GateType,
351    /// Target qubits
352    pub targets: Vec<usize>,
353    /// Control qubits
354    pub controls: Vec<usize>,
355    /// Gate parameters
356    pub parameters: Vec<f64>,
357}
358
359/// Types of gates
360#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
361pub enum GateType {
362    X,
363    Y,
364    Z,
365    H,
366    S,
367    T,
368    CNOT,
369    CZ,
370    Measurement,
371    Reset,
372}
373
374/// CSS code configuration
375#[derive(Debug, Clone, Serialize, Deserialize)]
376pub struct CSSCodeConfig {
377    /// Classical codes
378    pub classical_codes: ClassicalCodes,
379    /// Parity check matrices
380    pub parity_matrices: ParityMatrices,
381    /// Generator matrices
382    pub generator_matrices: GeneratorMatrices,
383    /// Code parameters
384    pub code_parameters: CSSParameters,
385}
386
387/// Classical codes for CSS construction
388#[derive(Debug, Clone, Serialize, Deserialize)]
389pub struct ClassicalCodes {
390    /// X code
391    pub x_code: ClassicalCode,
392    /// Z code
393    pub z_code: ClassicalCode,
394    /// Dual relationship
395    pub dual_relationship: DualRelationship,
396}
397
398/// Individual classical code
399#[derive(Debug, Clone, Serialize, Deserialize)]
400pub struct ClassicalCode {
401    /// Code length
402    pub length: usize,
403    /// Code dimension
404    pub dimension: usize,
405    /// Minimum distance
406    pub min_distance: usize,
407    /// Generator matrix
408    pub generator: Vec<Vec<u8>>,
409    /// Parity check matrix
410    pub parity_check: Vec<Vec<u8>>,
411}
412
413/// Dual relationship between classical codes
414#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
415pub enum DualRelationship {
416    SelfDual,
417    MutuallyDual,
418    NonDual,
419}
420
421/// Parity check matrices for CSS codes
422#[derive(Debug, Clone, Serialize, Deserialize)]
423pub struct ParityMatrices {
424    /// X parity check matrix
425    pub hx_matrix: Vec<Vec<u8>>,
426    /// Z parity check matrix
427    pub hz_matrix: Vec<Vec<u8>>,
428    /// Orthogonality check
429    pub orthogonality_verified: bool,
430}
431
432/// Generator matrices for CSS codes
433#[derive(Debug, Clone, Serialize, Deserialize)]
434pub struct GeneratorMatrices {
435    /// X generator matrix
436    pub gx_matrix: Vec<Vec<u8>>,
437    /// Z generator matrix
438    pub gz_matrix: Vec<Vec<u8>>,
439    /// Logical operator generators
440    pub logical_generators: LogicalGenerators,
441}
442
443/// Logical operator generators
444#[derive(Debug, Clone, Serialize, Deserialize)]
445pub struct LogicalGenerators {
446    /// Logical X generators
447    pub logical_x_generators: Vec<Vec<u8>>,
448    /// Logical Z generators
449    pub logical_z_generators: Vec<Vec<u8>>,
450    /// Stabilizer generators
451    pub stabilizer_generators: Vec<Vec<u8>>,
452}
453
454/// CSS code parameters
455#[derive(Debug, Clone, Serialize, Deserialize)]
456pub struct CSSParameters {
457    /// Number of physical qubits
458    pub n: usize,
459    /// Number of logical qubits
460    pub k: usize,
461    /// Code distance
462    pub d: usize,
463    /// Error correction capability
464    pub t: usize,
465}
466
467/// Steane code configuration
468#[derive(Debug, Clone, Serialize, Deserialize)]
469pub struct SteaneCodeConfig {
470    /// Standard Steane code parameters
471    pub parameters: SteaneParameters,
472    /// Encoding circuits
473    pub encoding_circuits: Vec<EncodingCircuit>,
474    /// Decoding tables
475    pub decoding_tables: DecodingTables,
476}
477
478/// Steane code parameters
479#[derive(Debug, Clone, Serialize, Deserialize)]
480pub struct SteaneParameters {
481    /// Code is \[7,1,3\]
482    pub n: usize, // 7
483    pub k: usize, // 1
484    pub d: usize, // 3
485}
486
487/// Encoding circuit definition
488#[derive(Debug, Clone, Serialize, Deserialize)]
489pub struct EncodingCircuit {
490    /// Circuit name
491    pub name: String,
492    /// Circuit gates
493    pub gates: Vec<Gate>,
494    /// Input qubits
495    pub input_qubits: Vec<usize>,
496    /// Output qubits
497    pub output_qubits: Vec<usize>,
498}
499
500/// Decoding lookup tables
501#[derive(Debug, Clone, Serialize, Deserialize)]
502pub struct DecodingTables {
503    /// Syndrome to error mapping
504    pub syndrome_error_map: HashMap<Vec<u8>, ErrorPattern>,
505    /// Recovery operations
506    pub recovery_operations: HashMap<Vec<u8>, Vec<Gate>>,
507}
508
509/// Error pattern definition
510#[derive(Debug, Clone, Serialize, Deserialize)]
511pub struct ErrorPattern {
512    /// Error locations
513    pub locations: Vec<usize>,
514    /// Error types at each location
515    pub error_types: Vec<ErrorType>,
516    /// Pattern weight
517    pub weight: usize,
518}
519
520/// Types of errors
521#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
522pub enum ErrorType {
523    X,
524    Y,
525    Z,
526    Identity,
527}
528
529/// Shor code configuration
530#[derive(Debug, Clone, Serialize, Deserialize)]
531pub struct ShorCodeConfig {
532    /// Shor code parameters \[9,1,3\]
533    pub parameters: ShorParameters,
534    /// Bit flip code structure
535    pub bit_flip_structure: BitFlipStructure,
536    /// Phase flip code structure
537    pub phase_flip_structure: PhaseFlipStructure,
538}
539
540/// Shor code parameters
541#[derive(Debug, Clone, Serialize, Deserialize)]
542pub struct ShorParameters {
543    /// Total qubits
544    pub n: usize, // 9
545    /// Logical qubits
546    pub k: usize, // 1
547    /// Distance
548    pub d: usize, // 3
549}
550
551/// Bit flip code structure
552#[derive(Debug, Clone, Serialize, Deserialize)]
553pub struct BitFlipStructure {
554    /// Code blocks
555    pub blocks: Vec<CodeBlock>,
556    /// Parity qubits
557    pub parity_qubits: Vec<usize>,
558}
559
560/// Phase flip code structure
561#[derive(Debug, Clone, Serialize, Deserialize)]
562pub struct PhaseFlipStructure {
563    /// Superposition states
564    pub superposition_states: Vec<SuperpositionState>,
565    /// Phase parity qubits
566    pub phase_parity_qubits: Vec<usize>,
567}
568
569/// Code block for bit flip protection
570#[derive(Debug, Clone, Serialize, Deserialize)]
571pub struct CodeBlock {
572    /// Block qubits
573    pub qubits: Vec<usize>,
574    /// Majority vote qubits
575    pub majority_vote_qubits: Vec<usize>,
576}
577
578/// Superposition state definition
579#[derive(Debug, Clone, Serialize, Deserialize)]
580pub struct SuperpositionState {
581    /// State coefficients
582    pub coefficients: Vec<f64>,
583    /// Basis states
584    pub basis_states: Vec<String>,
585}
586
587/// Repetition code configuration
588#[derive(Debug, Clone, Serialize, Deserialize)]
589pub struct RepetitionCodeConfig {
590    /// Code length
591    pub length: usize,
592    /// Majority voting
593    pub majority_voting: MajorityVoting,
594    /// Error threshold
595    pub error_threshold: f64,
596}
597
598/// Majority voting configuration
599#[derive(Debug, Clone, Serialize, Deserialize)]
600pub struct MajorityVoting {
601    /// Voting strategy
602    pub strategy: VotingStrategy,
603    /// Confidence threshold
604    pub confidence_threshold: f64,
605    /// Tie-breaking rule
606    pub tie_breaking: TieBreaking,
607}
608
609/// Voting strategies
610#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
611pub enum VotingStrategy {
612    Simple,
613    Weighted,
614    Adaptive,
615}
616
617/// Tie-breaking rules
618#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
619pub enum TieBreaking {
620    Random,
621    Conservative,
622    Aggressive,
623    Historical,
624}
quantrs2_device/qec/codes.rs

quantrs2_device/qec/
codes.rs
