quantrs2-device 0.1.3

Quantum device connectors for the QuantRS2 framework
Documentation
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
370
371
372
373
374
375
376
377
378
379
380
381
382
383
384
385
386
387
388
389
390
391
392
393
394
395
396
397
398
399
400
401
402
403
404
405
406
407
408
409
410
411
412
413
414
415
416
417
418
419
420
421
422
423
424
425
426
427
428
429
430
431
432
433
434
435
436
437
438
439
440
441
442
443
444
445
446
447
448
449
450
451
452
453
454
455
456
457
458
459
460
461
462
463
464
465
466
467
468
469
470
471
472
473
474
475
476
477
478
479
480
481
482
483
484
485
486
487
488
489
490
491
492
493
494
495
496
497
498
499
500
501
502
503
504
505
506
507
508
509
510
511
512
513
514
515
516
517
518
519
520
521
522
523
524
525
526
527
528
529
530
531
532
533
534
535
536
537
538
539
540
541
542
543
544
545
546
547
548
549
550
551
552
553
554
555
556
557
558
559
560
561
562
563
564
565
566
567
568
569
570
571
572
573
574
575
576
577
578
579
580
581
582
583
584
585
586
587
588
589
590
591
592
593
594
595
596
597
598
599
600
601
602
603
604
605
606
607
608
609
610
611
612
613
614
615
616
617
618
619
620
621
622
623
624
625
626
627
628
629
630
631
632
633
634
635
636
637
638
639
640
641
642
643
644
645
646
647
648
649
650
651
652
653
654
655
656
657
658
659
660
661
662
663
664
665
666
667
668
669
670
671
672
673
674
675
676
677
678
679
680
681
682
683
684
685
686
687
688
689
690
691
692
693
694
695
696
697
698
699
700
701
702
703
704
705
706
707
708
709
710
711
712
713
714
715
716
717
718
719
720
721
722
723
724
725
726
727
728
729
730
731
732
733
734
735
736
737
738
739
740
741
742
743
744
745
746
747
748
749
750
751
752
753
754
755
756
757
758
759
760
761
762
763
764
765
766
767
768
769
770
771
772
773
774
775
776
777
778
779
780
781
782
783
784
785
786
787
788
789
790
791
792
793
794
795
796
797
798
799
800
801
802
803
804
805
806
807
808
809
810
811
812
813
814
815
816
817
818
819
820
821
822
823
824
825
826
827
828
829
830
831
832
833
834
835
836
837
838
839
840
841
842
843
844
845
846
847
848
849
850
851
852
853
854
855
856
857
858
859
860
861
862
863
864
865
866
867
868
869
870
871
872
873
874
875
876
877
878
879
880
881
882
883
884
885
886
887
888
889
890
891
892
893
894
895
896
897
898
899
900
901
902
903
904
905
906
907
908
909
910
911
912
913
914
915
916
917
918
919
920
921
922
923
924
925
926
927
928
929
930
931
932
933
934
935
936
937
938
939
940
941
942
943
944
945
946
947
948
949
950
951
952
953
954
955
956
957
958
959
960
961
962
963
964
965
966
967
968
969
970
971
972
973
974
975
976
977
978
//! Error correction for continuous variable quantum systems
//!
//! This module implements error correction schemes specifically designed for
//! CV quantum systems, including GKP codes and other continuous variable codes.

use super::{CVDeviceConfig, Complex, GaussianState};
use crate::{DeviceError, DeviceResult};
use serde::{Deserialize, Serialize};
use std::f64::consts::PI;

/// Types of CV error correction codes
#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
pub enum CVErrorCorrectionCode {
    /// Gottesman-Kitaev-Preskill (GKP) codes
    GKP {
        /// Spacing parameter (Δ)
        spacing: f64,
        /// Number of logical qubits
        logical_qubits: usize,
    },
    /// Coherent state codes
    CoherentState {
        /// Alphabet size
        alphabet_size: usize,
        /// Coherent state amplitudes
        amplitudes: Vec<Complex>,
    },
    /// Squeeze-stabilizer codes
    SqueezeStabilizer {
        /// Stabilizer generators
        stabilizers: Vec<CVStabilizer>,
    },
    /// Concatenated CV codes
    Concatenated {
        /// Inner code
        inner_code: Box<Self>,
        /// Outer code
        outer_code: Box<Self>,
    },
}

/// CV stabilizer for squeeze-stabilizer codes
#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
pub struct CVStabilizer {
    /// Quadrature operators (coefficient, mode, quadrature_type)
    pub operators: Vec<(f64, usize, QuadratureType)>,
    /// Eigenvalue
    pub eigenvalue: f64,
}

/// Types of quadrature operators
#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
pub enum QuadratureType {
    /// Position quadrature (x)
    Position,
    /// Momentum quadrature (p)
    Momentum,
}

/// Configuration for CV error correction
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CVErrorCorrectionConfig {
    /// Error correction code type
    pub code_type: CVErrorCorrectionCode,
    /// Error model parameters
    pub error_model: CVErrorModel,
    /// Syndrome detection threshold
    pub syndrome_threshold: f64,
    /// Maximum correction attempts
    pub max_correction_attempts: usize,
    /// Enable real-time correction
    pub real_time_correction: bool,
    /// Decoder configuration
    pub decoder_config: CVDecoderConfig,
}

/// CV error model
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CVErrorModel {
    /// Displacement error standard deviation
    pub displacement_std: f64,
    /// Phase error standard deviation
    pub phase_std: f64,
    /// Loss probability
    pub loss_probability: f64,
    /// Thermal photon number
    pub thermal_photons: f64,
    /// Detector efficiency
    pub detector_efficiency: f64,
}

/// Decoder configuration
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CVDecoderConfig {
    /// Decoder type
    pub decoder_type: CVDecoderType,
    /// Maximum likelihood threshold
    pub ml_threshold: f64,
    /// Lookup table size (for discrete decoders)
    pub lookup_table_size: usize,
    /// Enable machine learning enhancement
    pub enable_ml_enhancement: bool,
}

/// Types of CV decoders
#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
pub enum CVDecoderType {
    /// Maximum likelihood decoder
    MaximumLikelihood,
    /// Minimum distance decoder
    MinimumDistance,
    /// Neural network decoder
    NeuralNetwork,
    /// Lookup table decoder
    LookupTable,
}

impl Default for CVErrorCorrectionConfig {
    fn default() -> Self {
        Self {
            code_type: CVErrorCorrectionCode::GKP {
                spacing: (PI).sqrt(),
                logical_qubits: 1,
            },
            error_model: CVErrorModel::default(),
            syndrome_threshold: 0.1,
            max_correction_attempts: 3,
            real_time_correction: true,
            decoder_config: CVDecoderConfig::default(),
        }
    }
}

impl Default for CVErrorModel {
    fn default() -> Self {
        Self {
            displacement_std: 0.1,
            phase_std: 0.05,
            loss_probability: 0.01,
            thermal_photons: 0.1,
            detector_efficiency: 0.95,
        }
    }
}

impl Default for CVDecoderConfig {
    fn default() -> Self {
        Self {
            decoder_type: CVDecoderType::MaximumLikelihood,
            ml_threshold: 0.8,
            lookup_table_size: 10000,
            enable_ml_enhancement: false,
        }
    }
}

/// CV error correction system
pub struct CVErrorCorrector {
    /// Configuration
    config: CVErrorCorrectionConfig,
    /// Current logical state
    logical_state: Option<CVLogicalState>,
    /// Syndrome measurement history
    syndrome_history: Vec<CVSyndrome>,
    /// Correction statistics
    correction_stats: CorrectionStatistics,
}

/// CV logical state representation
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CVLogicalState {
    /// Physical modes representing the logical state
    pub physical_modes: GaussianState,
    /// Logical information
    pub logical_info: Vec<LogicalQubitInfo>,
    /// Code parameters
    pub code_parameters: CodeParameters,
}

/// Information about a logical qubit
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct LogicalQubitInfo {
    /// Logical qubit ID
    pub qubit_id: usize,
    /// Physical modes involved
    pub physical_modes: Vec<usize>,
    /// Current logical operators
    pub logical_operators: LogicalOperators,
}

/// Logical operators for CV codes
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct LogicalOperators {
    /// Logical X operator
    pub logical_x: CVOperator,
    /// Logical Z operator
    pub logical_z: CVOperator,
    /// Logical Y operator (derived)
    pub logical_y: CVOperator,
}

/// CV operator representation
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CVOperator {
    /// Displacement components
    pub displacements: Vec<Complex>,
    /// Squeezing operations
    pub squeezings: Vec<(f64, f64)>, // (parameter, phase)
    /// Mode coupling operations
    pub couplings: Vec<ModeCoupling>,
}

/// Mode coupling operation
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct ModeCoupling {
    /// Modes involved
    pub modes: (usize, usize),
    /// Coupling strength
    pub strength: f64,
    /// Coupling type
    pub coupling_type: CouplingType,
}

/// Types of mode coupling
#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
pub enum CouplingType {
    /// Beamsplitter coupling
    Beamsplitter,
    /// Two-mode squeezing
    TwoModeSqueezing,
    /// Cross-Kerr interaction
    CrossKerr,
}

/// Code parameters
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CodeParameters {
    /// Code distance
    pub distance: usize,
    /// Number of physical modes
    pub num_physical_modes: usize,
    /// Number of logical qubits
    pub num_logical_qubits: usize,
    /// Error threshold
    pub error_threshold: f64,
}

/// CV syndrome measurement result
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CVSyndrome {
    /// Syndrome ID
    pub syndrome_id: usize,
    /// Measurement results
    pub measurements: Vec<SyndromeMeasurement>,
    /// Timestamp
    pub timestamp: f64,
    /// Confidence level
    pub confidence: f64,
}

/// Individual syndrome measurement
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct SyndromeMeasurement {
    /// Stabilizer ID
    pub stabilizer_id: usize,
    /// Measurement outcome
    pub outcome: f64,
    /// Expected value
    pub expected_value: f64,
    /// Measurement uncertainty
    pub uncertainty: f64,
}

/// Correction statistics
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CorrectionStatistics {
    /// Total syndrome measurements
    pub total_syndromes: usize,
    /// Successful corrections
    pub successful_corrections: usize,
    /// Failed corrections
    pub failed_corrections: usize,
    /// Average correction fidelity
    pub average_fidelity: f64,
    /// Logical error rate
    pub logical_error_rate: f64,
}

impl Default for CorrectionStatistics {
    fn default() -> Self {
        Self {
            total_syndromes: 0,
            successful_corrections: 0,
            failed_corrections: 0,
            average_fidelity: 0.0,
            logical_error_rate: 0.0,
        }
    }
}

impl CVErrorCorrector {
    /// Create a new CV error corrector
    pub fn new(config: CVErrorCorrectionConfig) -> Self {
        Self {
            config,
            logical_state: None,
            syndrome_history: Vec::new(),
            correction_stats: CorrectionStatistics::default(),
        }
    }

    /// Initialize logical state
    pub async fn initialize_logical_state(
        &mut self,
        initial_state: GaussianState,
    ) -> DeviceResult<CVLogicalState> {
        println!("Initializing CV logical state...");

        let logical_state = match &self.config.code_type {
            CVErrorCorrectionCode::GKP {
                spacing,
                logical_qubits,
            } => {
                self.initialize_gkp_state(initial_state, *spacing, *logical_qubits)
                    .await?
            }
            CVErrorCorrectionCode::CoherentState {
                alphabet_size,
                amplitudes,
            } => {
                self.initialize_coherent_state_code(initial_state, *alphabet_size, amplitudes)
                    .await?
            }
            _ => {
                return Err(DeviceError::UnsupportedOperation(
                    "Code type not yet implemented".to_string(),
                ));
            }
        };

        self.logical_state = Some(logical_state.clone());
        println!("Logical state initialized successfully");
        Ok(logical_state)
    }

    /// Initialize GKP logical state
    async fn initialize_gkp_state(
        &self,
        mut physical_state: GaussianState,
        spacing: f64,
        num_logical_qubits: usize,
    ) -> DeviceResult<CVLogicalState> {
        // GKP codes encode logical qubits in the infinite-dimensional Hilbert space
        // of a harmonic oscillator using a discrete lattice in phase space

        let num_physical_modes = physical_state.num_modes;

        // Apply GKP state preparation operations
        for mode in 0..num_physical_modes.min(num_logical_qubits) {
            // Apply periodic squeezing to create GKP-like state
            for i in 0..10 {
                let phase = 2.0 * PI * i as f64 / 10.0;
                let squeezing_param = 0.5 * (spacing / PI.sqrt()).ln();
                physical_state.apply_squeezing(mode, squeezing_param, phase)?;
            }
        }

        // Build logical operators for GKP codes
        let mut logical_info = Vec::new();
        for qubit_id in 0..num_logical_qubits {
            let logical_operators = self.build_gkp_logical_operators(qubit_id, spacing);
            logical_info.push(LogicalQubitInfo {
                qubit_id,
                physical_modes: vec![qubit_id], // One mode per logical qubit for single-mode GKP
                logical_operators,
            });
        }

        let code_parameters = CodeParameters {
            distance: 1, // Single-mode GKP has distance 1
            num_physical_modes,
            num_logical_qubits,
            error_threshold: 0.5 * spacing,
        };

        Ok(CVLogicalState {
            physical_modes: physical_state,
            logical_info,
            code_parameters,
        })
    }

    /// Build GKP logical operators
    fn build_gkp_logical_operators(&self, qubit_id: usize, spacing: f64) -> LogicalOperators {
        // GKP logical X: displacement by spacing in position
        let logical_x = CVOperator {
            displacements: vec![Complex::new(spacing, 0.0)],
            squeezings: Vec::new(),
            couplings: Vec::new(),
        };

        // GKP logical Z: displacement by spacing in momentum
        let logical_z = CVOperator {
            displacements: vec![Complex::new(0.0, spacing)],
            squeezings: Vec::new(),
            couplings: Vec::new(),
        };

        // GKP logical Y: combination of X and Z
        let logical_y = CVOperator {
            displacements: vec![Complex::new(
                spacing / (2.0_f64).sqrt(),
                spacing / (2.0_f64).sqrt(),
            )],
            squeezings: Vec::new(),
            couplings: Vec::new(),
        };

        LogicalOperators {
            logical_x,
            logical_z,
            logical_y,
        }
    }

    /// Initialize coherent state code
    async fn initialize_coherent_state_code(
        &self,
        physical_state: GaussianState,
        alphabet_size: usize,
        amplitudes: &[Complex],
    ) -> DeviceResult<CVLogicalState> {
        if amplitudes.len() != alphabet_size {
            return Err(DeviceError::InvalidInput(
                "Number of amplitudes must match alphabet size".to_string(),
            ));
        }

        // For coherent state codes, we prepare superpositions of coherent states
        let num_physical_modes = physical_state.num_modes;
        let num_logical_qubits = 1; // Simplified: one logical qubit per alphabet

        let logical_info = vec![LogicalQubitInfo {
            qubit_id: 0,
            physical_modes: (0..num_physical_modes).collect(),
            logical_operators: self.build_coherent_state_logical_operators(amplitudes),
        }];

        let code_parameters = CodeParameters {
            distance: alphabet_size / 2, // Approximate distance
            num_physical_modes,
            num_logical_qubits,
            error_threshold: amplitudes.iter().map(|a| a.magnitude()).sum::<f64>()
                / alphabet_size as f64
                * 0.5,
        };

        Ok(CVLogicalState {
            physical_modes: physical_state,
            logical_info,
            code_parameters,
        })
    }

    /// Build coherent state logical operators
    fn build_coherent_state_logical_operators(&self, amplitudes: &[Complex]) -> LogicalOperators {
        // Simplified logical operators for coherent state codes
        let avg_amplitude = amplitudes.iter().fold(Complex::zero(), |acc, &a| acc + a)
            * (1.0 / amplitudes.len() as f64);

        LogicalOperators {
            logical_x: CVOperator {
                displacements: vec![avg_amplitude],
                squeezings: Vec::new(),
                couplings: Vec::new(),
            },
            logical_z: CVOperator {
                displacements: vec![Complex::new(0.0, avg_amplitude.magnitude())],
                squeezings: Vec::new(),
                couplings: Vec::new(),
            },
            logical_y: CVOperator {
                displacements: vec![Complex::new(avg_amplitude.real, avg_amplitude.magnitude())],
                squeezings: Vec::new(),
                couplings: Vec::new(),
            },
        }
    }

    /// Perform syndrome measurement
    pub async fn measure_syndrome(&mut self) -> DeviceResult<CVSyndrome> {
        if self.logical_state.is_none() {
            return Err(DeviceError::InvalidInput(
                "No logical state initialized".to_string(),
            ));
        }

        let syndrome_id = self.syndrome_history.len();
        let mut measurements = Vec::new();

        // Measure stabilizers based on code type
        match &self.config.code_type {
            CVErrorCorrectionCode::GKP { spacing, .. } => {
                measurements = self.measure_gkp_stabilizers(*spacing).await?;
            }
            CVErrorCorrectionCode::CoherentState { amplitudes, .. } => {
                measurements = self.measure_coherent_state_stabilizers(amplitudes).await?;
            }
            _ => {
                return Err(DeviceError::UnsupportedOperation(
                    "Syndrome measurement not implemented for this code type".to_string(),
                ));
            }
        }

        // Calculate confidence based on measurement uncertainties
        let confidence = measurements
            .iter()
            .map(|m| 1.0 / (1.0 + m.uncertainty))
            .sum::<f64>()
            / measurements.len() as f64;

        let syndrome = CVSyndrome {
            syndrome_id,
            measurements,
            timestamp: std::time::SystemTime::now()
                .duration_since(std::time::UNIX_EPOCH)
                .expect("System time should be after UNIX epoch")
                .as_secs_f64(),
            confidence,
        };

        self.syndrome_history.push(syndrome.clone());
        self.correction_stats.total_syndromes += 1;

        Ok(syndrome)
    }

    /// Measure GKP stabilizers
    async fn measure_gkp_stabilizers(
        &self,
        spacing: f64,
    ) -> DeviceResult<Vec<SyndromeMeasurement>> {
        let logical_state = self
            .logical_state
            .as_ref()
            .ok_or_else(|| DeviceError::InvalidInput("No logical state initialized".to_string()))?;
        let mut measurements = Vec::new();

        // GKP stabilizers are periodic functions in phase space
        for mode in 0..logical_state.physical_modes.num_modes {
            // Measure x-stabilizer: exp(2πi x/Δ)
            let x_measurement = self
                .measure_periodic_stabilizer(mode, QuadratureType::Position, spacing)
                .await?;
            measurements.push(x_measurement);

            // Measure p-stabilizer: exp(2πi p/Δ)
            let p_measurement = self
                .measure_periodic_stabilizer(mode, QuadratureType::Momentum, spacing)
                .await?;
            measurements.push(p_measurement);
        }

        Ok(measurements)
    }

    /// Measure periodic stabilizer
    async fn measure_periodic_stabilizer(
        &self,
        mode: usize,
        quadrature_type: QuadratureType,
        spacing: f64,
    ) -> DeviceResult<SyndromeMeasurement> {
        let logical_state = self
            .logical_state
            .as_ref()
            .ok_or_else(|| DeviceError::InvalidInput("No logical state initialized".to_string()))?;
        let config = CVDeviceConfig::default();

        let phase = match quadrature_type {
            QuadratureType::Position => 0.0,
            QuadratureType::Momentum => PI / 2.0,
        };

        // Perform homodyne measurement
        let mut temp_state = logical_state.physical_modes.clone();
        let outcome = temp_state.homodyne_measurement(mode, phase, &config)?;

        // Calculate syndrome value (mod spacing)
        let syndrome_value = (outcome % spacing) / spacing;
        let expected_value = 0.0; // For ideal codeword
        let uncertainty = self.config.error_model.displacement_std;

        Ok(SyndromeMeasurement {
            stabilizer_id: mode * 2 + usize::from(quadrature_type != QuadratureType::Position),
            outcome: syndrome_value,
            expected_value,
            uncertainty,
        })
    }

    /// Measure coherent state stabilizers
    async fn measure_coherent_state_stabilizers(
        &self,
        _amplitudes: &[Complex],
    ) -> DeviceResult<Vec<SyndromeMeasurement>> {
        // Simplified implementation for coherent state codes
        let logical_state = self
            .logical_state
            .as_ref()
            .ok_or_else(|| DeviceError::InvalidInput("No logical state initialized".to_string()))?;
        let mut measurements = Vec::new();

        for mode in 0..logical_state.physical_modes.num_modes {
            let config = CVDeviceConfig::default();
            let mut temp_state = logical_state.physical_modes.clone();

            let outcome = temp_state.heterodyne_measurement(mode, &config)?;

            measurements.push(SyndromeMeasurement {
                stabilizer_id: mode,
                outcome: outcome.magnitude(),
                expected_value: 1.0, // Expected amplitude
                uncertainty: self.config.error_model.displacement_std,
            });
        }

        Ok(measurements)
    }

    /// Apply error correction based on syndrome
    pub async fn apply_correction(
        &mut self,
        syndrome: &CVSyndrome,
    ) -> DeviceResult<CorrectionResult> {
        if self.logical_state.is_none() {
            return Err(DeviceError::InvalidInput(
                "No logical state to correct".to_string(),
            ));
        }

        println!(
            "Applying error correction for syndrome {}",
            syndrome.syndrome_id
        );

        // Decode syndrome to determine correction
        let correction_operations = self.decode_syndrome(syndrome).await?;

        // Apply corrections to logical state
        let mut correction_success = true;
        let mut applied_operations = 0;

        for operation in &correction_operations {
            match self.apply_correction_operation(operation).await {
                Ok(()) => applied_operations += 1,
                Err(_) => {
                    correction_success = false;
                    break;
                }
            }
        }

        // Calculate correction fidelity
        let fidelity = if correction_success {
            syndrome
                .measurements
                .iter()
                .map(|m| (m.outcome - m.expected_value).abs())
                .sum::<f64>()
                .mul_add(-0.1, 0.95)
        } else {
            0.5
        };

        // Update statistics
        if correction_success {
            self.correction_stats.successful_corrections += 1;
        } else {
            self.correction_stats.failed_corrections += 1;
        }

        let total_corrections =
            self.correction_stats.successful_corrections + self.correction_stats.failed_corrections;
        self.correction_stats.average_fidelity = self
            .correction_stats
            .average_fidelity
            .mul_add((total_corrections - 1) as f64, fidelity)
            / total_corrections as f64;

        Ok(CorrectionResult {
            syndrome_id: syndrome.syndrome_id,
            correction_operations,
            success: correction_success,
            fidelity,
            applied_operations,
        })
    }

    /// Decode syndrome to determine correction operations
    async fn decode_syndrome(
        &self,
        syndrome: &CVSyndrome,
    ) -> DeviceResult<Vec<CorrectionOperation>> {
        match self.config.decoder_config.decoder_type {
            CVDecoderType::MaximumLikelihood => self.ml_decode(syndrome).await,
            CVDecoderType::MinimumDistance => self.minimum_distance_decode(syndrome).await,
            _ => Err(DeviceError::UnsupportedOperation(
                "Decoder type not implemented".to_string(),
            )),
        }
    }

    /// Maximum likelihood decoder
    async fn ml_decode(&self, syndrome: &CVSyndrome) -> DeviceResult<Vec<CorrectionOperation>> {
        let mut corrections = Vec::new();

        for measurement in &syndrome.measurements {
            let deviation = (measurement.outcome - measurement.expected_value).abs();

            if deviation > self.config.syndrome_threshold {
                // Determine correction based on measurement type and deviation
                let mode = measurement.stabilizer_id / 2;
                let is_position = measurement.stabilizer_id % 2 == 0;

                let correction_amplitude = if is_position {
                    Complex::new(-measurement.outcome, 0.0)
                } else {
                    Complex::new(0.0, -measurement.outcome)
                };

                corrections.push(CorrectionOperation {
                    operation_type: CorrectionOperationType::Displacement {
                        mode,
                        amplitude: correction_amplitude,
                    },
                    confidence: measurement.uncertainty,
                });
            }
        }

        Ok(corrections)
    }

    /// Minimum distance decoder
    async fn minimum_distance_decode(
        &self,
        syndrome: &CVSyndrome,
    ) -> DeviceResult<Vec<CorrectionOperation>> {
        // Simplified minimum distance decoder
        let mut corrections = Vec::new();

        // Find the syndrome with minimum Euclidean distance
        let mut min_distance = f64::INFINITY;
        let mut best_correction = None;

        for measurement in &syndrome.measurements {
            let distance = (measurement.outcome - measurement.expected_value).abs();

            if distance < min_distance && distance > self.config.syndrome_threshold {
                min_distance = distance;

                let mode = measurement.stabilizer_id / 2;
                let is_position = measurement.stabilizer_id % 2 == 0;

                let correction_amplitude = if is_position {
                    Complex::new(-measurement.outcome * 0.5, 0.0)
                } else {
                    Complex::new(0.0, -measurement.outcome * 0.5)
                };

                best_correction = Some(CorrectionOperation {
                    operation_type: CorrectionOperationType::Displacement {
                        mode,
                        amplitude: correction_amplitude,
                    },
                    confidence: 1.0 / (1.0 + distance),
                });
            }
        }

        if let Some(correction) = best_correction {
            corrections.push(correction);
        }

        Ok(corrections)
    }

    /// Apply a single correction operation
    async fn apply_correction_operation(
        &mut self,
        operation: &CorrectionOperation,
    ) -> DeviceResult<()> {
        if let Some(logical_state) = &mut self.logical_state {
            match &operation.operation_type {
                CorrectionOperationType::Displacement { mode, amplitude } => {
                    logical_state
                        .physical_modes
                        .apply_displacement(*mode, *amplitude)?;
                }
                CorrectionOperationType::Squeezing {
                    mode,
                    parameter,
                    phase,
                } => {
                    logical_state
                        .physical_modes
                        .apply_squeezing(*mode, *parameter, *phase)?;
                }
                CorrectionOperationType::PhaseRotation { mode, phase } => {
                    logical_state
                        .physical_modes
                        .apply_phase_rotation(*mode, *phase)?;
                }
            }
        }
        Ok(())
    }

    /// Get correction statistics
    pub const fn get_correction_statistics(&self) -> &CorrectionStatistics {
        &self.correction_stats
    }

    /// Get current logical state
    pub const fn get_logical_state(&self) -> Option<&CVLogicalState> {
        self.logical_state.as_ref()
    }

    /// Get syndrome history
    pub fn get_syndrome_history(&self) -> &[CVSyndrome] {
        &self.syndrome_history
    }
}

/// Error correction operation
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CorrectionOperation {
    /// Type of operation
    pub operation_type: CorrectionOperationType,
    /// Confidence in this correction
    pub confidence: f64,
}

/// Types of correction operations
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum CorrectionOperationType {
    /// Displacement correction
    Displacement { mode: usize, amplitude: Complex },
    /// Squeezing correction
    Squeezing {
        mode: usize,
        parameter: f64,
        phase: f64,
    },
    /// Phase rotation correction
    PhaseRotation { mode: usize, phase: f64 },
}

/// Result of error correction
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CorrectionResult {
    /// Syndrome ID that was corrected
    pub syndrome_id: usize,
    /// Operations applied
    pub correction_operations: Vec<CorrectionOperation>,
    /// Whether correction was successful
    pub success: bool,
    /// Correction fidelity
    pub fidelity: f64,
    /// Number of operations actually applied
    pub applied_operations: usize,
}

#[cfg(test)]
mod tests {
    use super::*;

    #[tokio::test]
    async fn test_cv_error_corrector_creation() {
        let config = CVErrorCorrectionConfig::default();
        let corrector = CVErrorCorrector::new(config);
        assert!(corrector.logical_state.is_none());
        assert_eq!(corrector.syndrome_history.len(), 0);
    }

    #[tokio::test]
    async fn test_gkp_state_initialization() {
        let config = CVErrorCorrectionConfig::default();
        let mut corrector = CVErrorCorrector::new(config);

        let initial_state = GaussianState::vacuum_state(2);
        let logical_state = corrector
            .initialize_logical_state(initial_state)
            .await
            .expect("Logical state initialization should succeed");

        assert_eq!(logical_state.physical_modes.num_modes, 2);
        assert_eq!(logical_state.logical_info.len(), 1);
    }

    #[tokio::test]
    async fn test_syndrome_measurement() {
        let config = CVErrorCorrectionConfig::default();
        let mut corrector = CVErrorCorrector::new(config);

        let initial_state = GaussianState::vacuum_state(1);
        corrector
            .initialize_logical_state(initial_state)
            .await
            .expect("Logical state initialization should succeed");

        let syndrome = corrector
            .measure_syndrome()
            .await
            .expect("Syndrome measurement should succeed");
        assert_eq!(syndrome.syndrome_id, 0);
        assert!(!syndrome.measurements.is_empty());
        assert_eq!(corrector.syndrome_history.len(), 1);
    }

    #[tokio::test]
    async fn test_error_correction() {
        let config = CVErrorCorrectionConfig::default();
        let mut corrector = CVErrorCorrector::new(config);

        let initial_state = GaussianState::vacuum_state(1);
        corrector
            .initialize_logical_state(initial_state)
            .await
            .expect("Logical state initialization should succeed");

        let syndrome = corrector
            .measure_syndrome()
            .await
            .expect("Syndrome measurement should succeed");
        let result = corrector
            .apply_correction(&syndrome)
            .await
            .expect("Error correction should succeed");

        assert_eq!(result.syndrome_id, syndrome.syndrome_id);
        assert!(result.fidelity >= 0.0 && result.fidelity <= 1.0);
    }

    #[test]
    fn test_gkp_logical_operators() {
        let config = CVErrorCorrectionConfig::default();
        let corrector = CVErrorCorrector::new(config);

        let operators = corrector.build_gkp_logical_operators(0, PI.sqrt());

        // Check that logical operators have correct structure
        assert_eq!(operators.logical_x.displacements.len(), 1);
        assert_eq!(operators.logical_z.displacements.len(), 1);
        assert_eq!(operators.logical_y.displacements.len(), 1);
    }

    #[test]
    fn test_error_model_defaults() {
        let error_model = CVErrorModel::default();
        assert!(error_model.displacement_std > 0.0);
        assert!(error_model.phase_std > 0.0);
        assert!(error_model.loss_probability >= 0.0 && error_model.loss_probability <= 1.0);
        assert!(error_model.detector_efficiency >= 0.0 && error_model.detector_efficiency <= 1.0);
    }

    #[test]
    fn test_correction_statistics() {
        let corrector = CVErrorCorrector::new(CVErrorCorrectionConfig::default());
        let stats = corrector.get_correction_statistics();

        assert_eq!(stats.total_syndromes, 0);
        assert_eq!(stats.successful_corrections, 0);
        assert_eq!(stats.failed_corrections, 0);
    }
}