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quantrs2_sim/
fault_tolerant_synthesis.rs

1//! Fault-Tolerant Gate Synthesis with Logical Operations
2//!
3//! This module implements fault-tolerant quantum computation by synthesizing logical gates
4//! using quantum error correction codes. It provides tools for converting arbitrary logical
5//! operations into fault-tolerant implementations using various error correction codes like
6//! surface codes, color codes, and topological codes.
7//!
8//! Key features:
9//! - Logical gate synthesis for various quantum error correction codes
10//! - Fault-tolerant gate decomposition with minimal resource overhead
11//! - Magic state distillation for non-Clifford gates
12//! - Surface code compilation with optimal routing
13//! - Topological quantum computation synthesis
14//! - Resource estimation for fault-tolerant circuits
15//! - Adaptive code distance selection
16//! - Logical measurement and state preparation protocols
17
18use scirs2_core::ndarray::{Array1, Array2};
19use std::collections::HashMap;
20
21use crate::circuit_interfaces::{InterfaceCircuit, InterfaceGate, InterfaceGateType};
22use crate::error::{Result, SimulatorError};
23
24/// Fault-tolerant synthesis configuration
25#[derive(Debug, Clone)]
26pub struct FaultTolerantConfig {
27    /// Target logical error rate
28    pub target_logical_error_rate: f64,
29    /// Physical error rate of the hardware
30    pub physical_error_rate: f64,
31    /// Error correction code to use
32    pub error_correction_code: ErrorCorrectionCode,
33    /// Code distance
34    pub code_distance: usize,
35    /// Enable magic state distillation
36    pub enable_magic_state_distillation: bool,
37    /// Enable adaptive code distance
38    pub enable_adaptive_distance: bool,
39    /// Resource optimization level
40    pub optimization_level: FTOptimizationLevel,
41    /// Maximum synthesis depth
42    pub max_synthesis_depth: usize,
43    /// Parallelization threshold
44    pub parallel_threshold: usize,
45}
46
47impl Default for FaultTolerantConfig {
48    fn default() -> Self {
49        Self {
50            target_logical_error_rate: 1e-6,
51            physical_error_rate: 1e-3,
52            error_correction_code: ErrorCorrectionCode::SurfaceCode,
53            code_distance: 5,
54            enable_magic_state_distillation: true,
55            enable_adaptive_distance: true,
56            optimization_level: FTOptimizationLevel::Balanced,
57            max_synthesis_depth: 1000,
58            parallel_threshold: 100,
59        }
60    }
61}
62
63/// Error correction codes for fault-tolerant synthesis
64#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
65pub enum ErrorCorrectionCode {
66    /// Surface code (2D topological)
67    SurfaceCode,
68    /// Color code (2D topological)
69    ColorCode,
70    /// Steane code (7,1,3)
71    SteaneCode,
72    /// Shor code (9,1,3)
73    ShorCode,
74    /// Reed-Muller code
75    ReedMullerCode,
76    /// Bacon-Shor code
77    BaconShorCode,
78    /// Subsystem surface code
79    SubsystemSurfaceCode,
80}
81
82/// Fault-tolerant optimization levels
83#[derive(Debug, Clone, Copy, PartialEq, Eq)]
84pub enum FTOptimizationLevel {
85    /// Minimize resource usage
86    Space,
87    /// Minimize computation time
88    Time,
89    /// Balance space and time
90    Balanced,
91    /// Minimize logical error rate
92    ErrorRate,
93    /// Custom optimization
94    Custom,
95}
96
97/// Logical gate types for fault-tolerant synthesis
98#[derive(Debug, Clone, Copy, PartialEq)]
99pub enum LogicalGateType {
100    /// Logical Pauli-X
101    LogicalX,
102    /// Logical Pauli-Y
103    LogicalY,
104    /// Logical Pauli-Z
105    LogicalZ,
106    /// Logical Hadamard
107    LogicalH,
108    /// Logical S gate
109    LogicalS,
110    /// Logical T gate (requires magic states)
111    LogicalT,
112    /// Logical CNOT
113    LogicalCNOT,
114    /// Logical CZ
115    LogicalCZ,
116    /// Logical Toffoli (requires magic states)
117    LogicalToffoli,
118    /// Logical rotation (parametric)
119    LogicalRotation(f64),
120    /// Logical measurement
121    LogicalMeasurement,
122    /// Logical state preparation
123    LogicalPreparation,
124}
125
126impl Eq for LogicalGateType {}
127
128impl std::hash::Hash for LogicalGateType {
129    fn hash<H: std::hash::Hasher>(&self, state: &mut H) {
130        std::mem::discriminant(self).hash(state);
131        if let Self::LogicalRotation(angle) = self {
132            // Convert float to bits for consistent hashing
133            angle.to_bits().hash(state);
134        }
135    }
136}
137
138/// Logical gate implementation
139#[derive(Debug, Clone)]
140pub struct LogicalGate {
141    /// Gate type
142    pub gate_type: LogicalGateType,
143    /// Target logical qubits
144    pub logical_qubits: Vec<usize>,
145    /// Physical implementation
146    pub physical_implementation: InterfaceCircuit,
147    /// Resource requirements
148    pub resources: ResourceRequirements,
149    /// Error rate estimate
150    pub error_rate: f64,
151}
152
153/// Resource requirements for fault-tolerant operations
154#[derive(Debug, Clone, Default)]
155pub struct ResourceRequirements {
156    /// Number of physical qubits
157    pub physical_qubits: usize,
158    /// Number of physical gates
159    pub physical_gates: usize,
160    /// Number of measurement rounds
161    pub measurement_rounds: usize,
162    /// Magic states required
163    pub magic_states: usize,
164    /// Computation time (in time steps)
165    pub time_steps: usize,
166    /// Memory requirements (ancilla qubits)
167    pub ancilla_qubits: usize,
168}
169
170/// Fault-tolerant synthesis result
171#[derive(Debug, Clone)]
172pub struct FaultTolerantSynthesisResult {
173    /// Synthesized fault-tolerant circuit
174    pub fault_tolerant_circuit: InterfaceCircuit,
175    /// Logical error rate achieved
176    pub logical_error_rate: f64,
177    /// Resource usage
178    pub resources: ResourceRequirements,
179    /// Synthesis statistics
180    pub synthesis_stats: SynthesisStatistics,
181    /// Code distance used
182    pub code_distance: usize,
183    /// Error correction overhead
184    pub overhead_factor: f64,
185}
186
187/// Synthesis statistics
188#[derive(Debug, Clone, Default)]
189pub struct SynthesisStatistics {
190    /// Number of logical gates synthesized
191    pub logical_gates_synthesized: usize,
192    /// Average gate synthesis time
193    pub avg_synthesis_time_ms: f64,
194    /// Total synthesis time
195    pub total_synthesis_time_ms: f64,
196    /// Magic state consumption
197    pub magic_states_consumed: usize,
198    /// Code distance adaptations
199    pub distance_adaptations: usize,
200    /// Optimization passes
201    pub optimization_passes: usize,
202}
203
204/// Magic state types for non-Clifford gates
205#[derive(Debug, Clone, Copy, PartialEq, Eq, Hash)]
206pub enum MagicStateType {
207    /// T-state for T gate implementation
208    TState,
209    /// Y-state for Y-rotation
210    YState,
211    /// CCZ-state for Toffoli implementation
212    CCZState,
213    /// Custom magic state
214    Custom(usize),
215}
216
217/// Magic state distillation protocol
218#[derive(Debug, Clone)]
219pub struct MagicStateProtocol {
220    /// Input magic state type
221    pub input_state: MagicStateType,
222    /// Output magic state type
223    pub output_state: MagicStateType,
224    /// Distillation circuit
225    pub distillation_circuit: InterfaceCircuit,
226    /// Error reduction factor
227    pub error_reduction: f64,
228    /// Resource overhead
229    pub overhead: usize,
230}
231
232/// Surface code implementation for fault-tolerant synthesis
233#[derive(Debug, Clone)]
234pub struct SurfaceCodeSynthesizer {
235    /// Code distance
236    pub distance: usize,
237    /// Surface code layout
238    pub layout: SurfaceCodeLayout,
239    /// Stabilizer generators
240    pub stabilizers: Vec<Array1<i8>>,
241    /// Logical operators
242    pub logical_operators: HashMap<LogicalGateType, Array2<i8>>,
243    /// Error correction schedule
244    pub error_correction_schedule: Vec<ErrorCorrectionRound>,
245}
246
247/// Surface code layout
248#[derive(Debug, Clone)]
249pub struct SurfaceCodeLayout {
250    /// Data qubit positions
251    pub data_qubits: Array2<usize>,
252    /// X-stabilizer positions
253    pub x_stabilizers: Array2<usize>,
254    /// Z-stabilizer positions
255    pub z_stabilizers: Array2<usize>,
256    /// Boundary conditions
257    pub boundaries: BoundaryConditions,
258}
259
260/// Boundary conditions for surface codes
261#[derive(Debug, Clone, Copy, PartialEq, Eq)]
262pub enum BoundaryConditions {
263    /// Open boundaries
264    Open,
265    /// Periodic boundaries
266    Periodic,
267    /// Twisted boundaries
268    Twisted,
269    /// Rough-smooth boundaries
270    RoughSmooth,
271}
272
273/// Error correction round
274#[derive(Debug, Clone)]
275pub struct ErrorCorrectionRound {
276    /// Stabilizer measurements
277    pub stabilizer_measurements: Vec<StabilizerMeasurement>,
278    /// Syndrome extraction
279    pub syndrome_extraction: InterfaceCircuit,
280    /// Error correction
281    pub error_correction: InterfaceCircuit,
282    /// Round duration
283    pub duration: usize,
284}
285
286/// Stabilizer measurement
287#[derive(Debug, Clone)]
288pub struct StabilizerMeasurement {
289    /// Stabilizer index
290    pub stabilizer_index: usize,
291    /// Measurement circuit
292    pub measurement_circuit: InterfaceCircuit,
293    /// Syndrome qubit
294    pub syndrome_qubit: usize,
295    /// Data qubits involved
296    pub data_qubits: Vec<usize>,
297}
298
299/// Main fault-tolerant gate synthesizer
300pub struct FaultTolerantSynthesizer {
301    /// Configuration
302    config: FaultTolerantConfig,
303    /// Surface code synthesizer
304    surface_code: Option<SurfaceCodeSynthesizer>,
305    /// Magic state protocols
306    magic_state_protocols: HashMap<LogicalGateType, MagicStateProtocol>,
307    /// Logical gate library
308    gate_library: HashMap<LogicalGateType, LogicalGate>,
309    /// Resource estimator
310    resource_estimator: ResourceEstimator,
311    /// Synthesis cache
312    synthesis_cache: HashMap<String, FaultTolerantSynthesisResult>,
313}
314
315/// Resource estimator for fault-tolerant circuits
316#[derive(Debug, Clone, Default)]
317pub struct ResourceEstimator {
318    /// Physical error model
319    pub error_model: PhysicalErrorModel,
320    /// Code parameters
321    pub code_parameters: HashMap<ErrorCorrectionCode, CodeParameters>,
322    /// Magic state costs
323    pub magic_state_costs: HashMap<MagicStateType, usize>,
324}
325
326/// Physical error model
327#[derive(Debug, Clone, Default)]
328pub struct PhysicalErrorModel {
329    /// Gate error rates
330    pub gate_errors: HashMap<String, f64>,
331    /// Measurement error rate
332    pub measurement_error: f64,
333    /// Memory error rate (per time step)
334    pub memory_error: f64,
335    /// Correlated error probability
336    pub correlated_error: f64,
337}
338
339/// Code parameters for different error correction codes
340#[derive(Debug, Clone, Default)]
341pub struct CodeParameters {
342    /// Encoding rate (k/n)
343    pub encoding_rate: f64,
344    /// Threshold error rate
345    pub threshold: f64,
346    /// Resource scaling
347    pub resource_scaling: f64,
348    /// Logical error suppression
349    pub error_suppression: f64,
350}
351
352impl FaultTolerantSynthesizer {
353    /// Create new fault-tolerant synthesizer
354    pub fn new(config: FaultTolerantConfig) -> Result<Self> {
355        let mut synthesizer = Self {
356            config: config.clone(),
357            surface_code: None,
358            magic_state_protocols: HashMap::new(),
359            gate_library: HashMap::new(),
360            resource_estimator: ResourceEstimator::default(),
361            synthesis_cache: HashMap::new(),
362        };
363
364        // Initialize based on error correction code
365        if config.error_correction_code == ErrorCorrectionCode::SurfaceCode {
366            synthesizer.surface_code = Some(synthesizer.create_surface_code()?);
367        } else {
368            // Initialize other codes as needed
369        }
370
371        // Initialize magic state protocols
372        synthesizer.initialize_magic_state_protocols()?;
373
374        // Initialize gate library
375        synthesizer.initialize_gate_library()?;
376
377        // Initialize resource estimator
378        synthesizer.initialize_resource_estimator()?;
379
380        Ok(synthesizer)
381    }
382
383    /// Synthesize fault-tolerant implementation of a logical circuit
384    pub fn synthesize_logical_circuit(
385        &mut self,
386        logical_circuit: &InterfaceCircuit,
387    ) -> Result<FaultTolerantSynthesisResult> {
388        let start_time = std::time::Instant::now();
389
390        // Check cache first
391        let cache_key = self.generate_cache_key(logical_circuit);
392        if let Some(cached_result) = self.synthesis_cache.get(&cache_key) {
393            return Ok(cached_result.clone());
394        }
395
396        // Adapt code distance if enabled
397        let optimal_distance = if self.config.enable_adaptive_distance {
398            self.calculate_optimal_distance(logical_circuit)?
399        } else {
400            self.config.code_distance
401        };
402
403        // Initialize synthesis result
404        let mut result = FaultTolerantSynthesisResult {
405            fault_tolerant_circuit: InterfaceCircuit::new(0, 0),
406            logical_error_rate: 0.0,
407            resources: ResourceRequirements::default(),
408            synthesis_stats: SynthesisStatistics::default(),
409            code_distance: optimal_distance,
410            overhead_factor: 0.0,
411        };
412
413        // Synthesize each logical gate
414        for gate in &logical_circuit.gates {
415            let logical_gate_type = self.map_interface_gate_to_logical(gate)?;
416            let synthesized_gate = self.synthesize_logical_gate(logical_gate_type, &gate.qubits)?;
417
418            // Add to fault-tolerant circuit
419            self.append_synthesized_gate(&mut result.fault_tolerant_circuit, &synthesized_gate)?;
420
421            // Update resource requirements
422            self.update_resources(&mut result.resources, &synthesized_gate.resources);
423
424            result.synthesis_stats.logical_gates_synthesized += 1;
425        }
426
427        // Add error correction rounds
428        self.add_error_correction_rounds(&mut result.fault_tolerant_circuit, optimal_distance)?;
429
430        // Calculate logical error rate
431        result.logical_error_rate = self.calculate_logical_error_rate(&result)?;
432
433        // Calculate overhead factor
434        result.overhead_factor =
435            result.resources.physical_qubits as f64 / logical_circuit.num_qubits as f64;
436
437        // Update synthesis statistics
438        result.synthesis_stats.total_synthesis_time_ms = start_time.elapsed().as_millis() as f64;
439        result.synthesis_stats.avg_synthesis_time_ms =
440            result.synthesis_stats.total_synthesis_time_ms
441                / result.synthesis_stats.logical_gates_synthesized as f64;
442
443        // Cache result
444        self.synthesis_cache.insert(cache_key, result.clone());
445
446        Ok(result)
447    }
448
449    /// Synthesize a single logical gate
450    pub fn synthesize_logical_gate(
451        &mut self,
452        gate_type: LogicalGateType,
453        logical_qubits: &[usize],
454    ) -> Result<LogicalGate> {
455        // Check if gate is in library
456        if let Some(template) = self.gate_library.get(&gate_type) {
457            let mut synthesized = template.clone();
458            synthesized.logical_qubits = logical_qubits.to_vec();
459            return Ok(synthesized);
460        }
461
462        // Synthesize gate based on type
463        match gate_type {
464            LogicalGateType::LogicalX | LogicalGateType::LogicalY | LogicalGateType::LogicalZ => {
465                self.synthesize_logical_pauli(gate_type, logical_qubits)
466            }
467            LogicalGateType::LogicalH => self.synthesize_logical_hadamard(logical_qubits),
468            LogicalGateType::LogicalS => self.synthesize_logical_s(logical_qubits),
469            LogicalGateType::LogicalT => {
470                self.synthesize_logical_t_with_magic_states(logical_qubits)
471            }
472            LogicalGateType::LogicalCNOT => self.synthesize_logical_cnot(logical_qubits),
473            LogicalGateType::LogicalToffoli => {
474                self.synthesize_logical_toffoli_with_magic_states(logical_qubits)
475            }
476            LogicalGateType::LogicalRotation(angle) => {
477                self.synthesize_logical_rotation(logical_qubits, angle)
478            }
479            _ => Err(SimulatorError::InvalidConfiguration(format!(
480                "Unsupported logical gate type: {gate_type:?}"
481            ))),
482        }
483    }
484
485    /// Create surface code synthesizer
486    fn create_surface_code(&self) -> Result<SurfaceCodeSynthesizer> {
487        let distance = self.config.code_distance;
488
489        // Create surface code layout
490        let layout = self.create_surface_code_layout(distance)?;
491
492        // Generate stabilizer generators
493        let stabilizers = self.generate_surface_code_stabilizers(distance)?;
494
495        // Create logical operators
496        let logical_operators = self.create_logical_operators(distance)?;
497
498        // Create temporary surface code to generate error correction schedule
499        let temp_surface_code = SurfaceCodeSynthesizer {
500            distance,
501            layout: layout.clone(),
502            stabilizers: stabilizers.clone(),
503            logical_operators: logical_operators.clone(),
504            error_correction_schedule: Vec::new(), // Will be filled below
505        };
506
507        // Create error correction schedule using the temporary surface code
508        let error_correction_schedule =
509            self.create_error_correction_schedule_with_surface_code(distance, &temp_surface_code)?;
510
511        Ok(SurfaceCodeSynthesizer {
512            distance,
513            layout,
514            stabilizers,
515            logical_operators,
516            error_correction_schedule,
517        })
518    }
519
520    /// Create surface code layout
521    pub fn create_surface_code_layout(&self, distance: usize) -> Result<SurfaceCodeLayout> {
522        let size = 2 * distance - 1;
523
524        // Initialize qubit arrays
525        let mut data_qubits = Array2::zeros((size, size));
526        let mut x_stabilizers = Array2::zeros((distance - 1, distance));
527        let mut z_stabilizers = Array2::zeros((distance, distance - 1));
528
529        // Assign data qubit indices
530        let mut qubit_index = 0;
531        for i in 0..size {
532            for j in 0..size {
533                if (i + j) % 2 == 0 {
534                    data_qubits[[i, j]] = qubit_index;
535                    qubit_index += 1;
536                }
537            }
538        }
539
540        // Assign stabilizer indices
541        for i in 0..distance - 1 {
542            for j in 0..distance {
543                x_stabilizers[[i, j]] = qubit_index;
544                qubit_index += 1;
545            }
546        }
547
548        for i in 0..distance {
549            for j in 0..distance - 1 {
550                z_stabilizers[[i, j]] = qubit_index;
551                qubit_index += 1;
552            }
553        }
554
555        Ok(SurfaceCodeLayout {
556            data_qubits,
557            x_stabilizers,
558            z_stabilizers,
559            boundaries: BoundaryConditions::Open,
560        })
561    }
562
563    /// Generate stabilizer generators for surface code
564    pub fn generate_surface_code_stabilizers(&self, distance: usize) -> Result<Vec<Array1<i8>>> {
565        let mut stabilizers = Vec::new();
566        let total_qubits = distance * distance;
567
568        // X-type stabilizers
569        for i in 0..distance - 1 {
570            for j in 0..distance {
571                let mut stabilizer = Array1::zeros(2 * total_qubits); // X and Z parts
572
573                // Add X operations on neighboring data qubits
574                let neighbors = self.get_x_stabilizer_neighbors(i, j, distance);
575                for &qubit in &neighbors {
576                    stabilizer[qubit] = 1; // X operation
577                }
578
579                stabilizers.push(stabilizer);
580            }
581        }
582
583        // Z-type stabilizers
584        for i in 0..distance {
585            for j in 0..distance - 1 {
586                let mut stabilizer = Array1::zeros(2 * total_qubits);
587
588                // Add Z operations on neighboring data qubits
589                let neighbors = self.get_z_stabilizer_neighbors(i, j, distance);
590                for &qubit in &neighbors {
591                    stabilizer[total_qubits + qubit] = 1; // Z operation
592                }
593
594                stabilizers.push(stabilizer);
595            }
596        }
597
598        Ok(stabilizers)
599    }
600
601    /// Data-qubit flat index for grid position `(row, col)` on the
602    /// `distance × distance` data lattice, or `None` if the position falls off
603    /// the grid (used for boundary truncation).
604    fn data_qubit_on_grid(row: isize, col: isize, distance: usize) -> Option<usize> {
605        if row < 0 || col < 0 {
606            return None;
607        }
608        let (r, c) = (row as usize, col as usize);
609        if r >= distance || c >= distance {
610            return None;
611        }
612        Some(r * distance + c)
613    }
614
615    /// Data qubits acted on by the X-type stabilizer at lattice site `(i, j)`.
616    ///
617    /// X stabilizers are modelled as **star (vertex) operators**: the operator
618    /// centred on data-lattice vertex `(i, j)` acts on the four orthogonally
619    /// adjacent data qubits — the up/down/left/right cross `{(i-1,j), (i+1,j),
620    /// (i,j-1), (i,j+1)}` — the classic surface-code "plus" pattern. Neighbours
621    /// that fall outside the `distance × distance` grid are truncated, giving
622    /// weight-4 operators in the bulk and reduced-weight operators on the
623    /// boundary. This is genuine lattice geometry (adjacent data qubits on the
624    /// grid), replacing the former modular-arithmetic placeholder that wrapped
625    /// around `distance²` with no geometric meaning.
626    fn get_x_stabilizer_neighbors(&self, i: usize, j: usize, distance: usize) -> Vec<usize> {
627        let (i, j) = (i as isize, j as isize);
628        [(i - 1, j), (i + 1, j), (i, j - 1), (i, j + 1)]
629            .into_iter()
630            .filter_map(|(r, c)| Self::data_qubit_on_grid(r, c, distance))
631            .collect()
632    }
633
634    /// Data qubits acted on by the Z-type stabilizer at lattice site `(i, j)`.
635    ///
636    /// Z stabilizers are modelled as **plaquette (face) operators**: the
637    /// operator on the face whose top-left corner is data qubit `(i, j)` acts
638    /// on the four corners of that unit cell — `{(i,j), (i,j+1), (i+1,j),
639    /// (i+1,j+1)}` — the dual of the X star. Corners outside the grid are
640    /// truncated for boundary faces, again replacing the meaningless modular
641    /// placeholder with real grid adjacency.
642    fn get_z_stabilizer_neighbors(&self, i: usize, j: usize, distance: usize) -> Vec<usize> {
643        let (i, j) = (i as isize, j as isize);
644        [(i, j), (i, j + 1), (i + 1, j), (i + 1, j + 1)]
645            .into_iter()
646            .filter_map(|(r, c)| Self::data_qubit_on_grid(r, c, distance))
647            .collect()
648    }
649
650    /// Create logical operators
651    fn create_logical_operators(
652        &self,
653        distance: usize,
654    ) -> Result<HashMap<LogicalGateType, Array2<i8>>> {
655        let mut logical_operators = HashMap::new();
656        let total_qubits = distance * distance;
657
658        // Logical X operator
659        let mut logical_x = Array2::zeros((1, 2 * total_qubits));
660        for i in 0..distance {
661            logical_x[[0, i]] = 1; // X operation on first row
662        }
663        logical_operators.insert(LogicalGateType::LogicalX, logical_x);
664
665        // Logical Z operator
666        let mut logical_z = Array2::zeros((1, 2 * total_qubits));
667        for i in 0..distance {
668            logical_z[[0, total_qubits + i * distance]] = 1; // Z operation on first column
669        }
670        logical_operators.insert(LogicalGateType::LogicalZ, logical_z);
671
672        Ok(logical_operators)
673    }
674
675    /// Create error correction schedule with provided surface code
676    fn create_error_correction_schedule_with_surface_code(
677        &self,
678        distance: usize,
679        surface_code: &SurfaceCodeSynthesizer,
680    ) -> Result<Vec<ErrorCorrectionRound>> {
681        let mut schedule = Vec::new();
682
683        // Create syndrome extraction round
684        let mut round = ErrorCorrectionRound {
685            stabilizer_measurements: Vec::new(),
686            syndrome_extraction: InterfaceCircuit::new(distance * distance + 100, 0), // Extra for ancillas
687            error_correction: InterfaceCircuit::new(distance * distance, 0),
688            duration: 1,
689        };
690
691        // Add stabilizer measurements
692        for (i, stabilizer) in surface_code.stabilizers.iter().enumerate() {
693            let measurement = StabilizerMeasurement {
694                stabilizer_index: i,
695                measurement_circuit: self.create_stabilizer_measurement_circuit(stabilizer)?,
696                syndrome_qubit: distance * distance + i,
697                data_qubits: self.get_stabilizer_data_qubits(stabilizer),
698            };
699            round.stabilizer_measurements.push(measurement);
700        }
701
702        schedule.push(round);
703        Ok(schedule)
704    }
705
706    /// Create error correction schedule
707    fn create_error_correction_schedule(
708        &self,
709        distance: usize,
710    ) -> Result<Vec<ErrorCorrectionRound>> {
711        let mut schedule = Vec::new();
712
713        // Create syndrome extraction round
714        let mut round = ErrorCorrectionRound {
715            stabilizer_measurements: Vec::new(),
716            syndrome_extraction: InterfaceCircuit::new(distance * distance + 100, 0), // Extra for ancillas
717            error_correction: InterfaceCircuit::new(distance * distance, 0),
718            duration: 1,
719        };
720
721        // Add stabilizer measurements
722        let surface_code = self.surface_code.as_ref().ok_or_else(|| {
723            crate::error::SimulatorError::InvalidConfiguration(
724                "Surface code not initialized".to_string(),
725            )
726        })?;
727
728        for (i, stabilizer) in surface_code.stabilizers.iter().enumerate() {
729            let measurement = StabilizerMeasurement {
730                stabilizer_index: i,
731                measurement_circuit: self.create_stabilizer_measurement_circuit(stabilizer)?,
732                syndrome_qubit: distance * distance + i,
733                data_qubits: self.get_stabilizer_data_qubits(stabilizer),
734            };
735            round.stabilizer_measurements.push(measurement);
736        }
737
738        schedule.push(round);
739        Ok(schedule)
740    }
741
742    /// Create stabilizer measurement circuit
743    fn create_stabilizer_measurement_circuit(
744        &self,
745        stabilizer: &Array1<i8>,
746    ) -> Result<InterfaceCircuit> {
747        let mut circuit = InterfaceCircuit::new(stabilizer.len() + 1, 0); // +1 for ancilla
748        let ancilla_qubit = stabilizer.len();
749
750        // Initialize ancilla in |+⟩ state
751        circuit.add_gate(InterfaceGate::new(
752            InterfaceGateType::Hadamard,
753            vec![ancilla_qubit],
754        ));
755
756        // Apply controlled operations
757        for (i, &op) in stabilizer.iter().enumerate() {
758            if op == 1 {
759                if i < stabilizer.len() / 2 {
760                    // X operation
761                    circuit.add_gate(InterfaceGate::new(
762                        InterfaceGateType::CNOT,
763                        vec![ancilla_qubit, i],
764                    ));
765                } else {
766                    // Z operation
767                    let data_qubit = i - stabilizer.len() / 2;
768                    circuit.add_gate(InterfaceGate::new(
769                        InterfaceGateType::CZ,
770                        vec![ancilla_qubit, data_qubit],
771                    ));
772                }
773            }
774        }
775
776        // Measure ancilla
777        circuit.add_gate(InterfaceGate::new(
778            InterfaceGateType::Hadamard,
779            vec![ancilla_qubit],
780        ));
781
782        Ok(circuit)
783    }
784
785    /// Get data qubits involved in stabilizer
786    fn get_stabilizer_data_qubits(&self, stabilizer: &Array1<i8>) -> Vec<usize> {
787        let mut data_qubits = Vec::new();
788        let half_len = stabilizer.len() / 2;
789
790        for i in 0..half_len {
791            if stabilizer[i] == 1 || stabilizer[i + half_len] == 1 {
792                data_qubits.push(i);
793            }
794        }
795
796        data_qubits
797    }
798
799    /// Initialize magic state protocols
800    fn initialize_magic_state_protocols(&mut self) -> Result<()> {
801        // T-state protocol for T gates
802        let t_protocol = MagicStateProtocol {
803            input_state: MagicStateType::TState,
804            output_state: MagicStateType::TState,
805            distillation_circuit: self.create_t_state_distillation_circuit()?,
806            error_reduction: 0.1, // 10x error reduction
807            overhead: 15,         // 15 T-states input for 1 T-state output
808        };
809        self.magic_state_protocols
810            .insert(LogicalGateType::LogicalT, t_protocol);
811
812        // CCZ-state protocol for Toffoli gates
813        let ccz_protocol = MagicStateProtocol {
814            input_state: MagicStateType::CCZState,
815            output_state: MagicStateType::CCZState,
816            distillation_circuit: self.create_ccz_state_distillation_circuit()?,
817            error_reduction: 0.05, // 20x error reduction
818            overhead: 25,          // 25 CCZ-states input for 1 CCZ-state output
819        };
820        self.magic_state_protocols
821            .insert(LogicalGateType::LogicalToffoli, ccz_protocol);
822
823        Ok(())
824    }
825
826    /// Create T-state distillation circuit
827    fn create_t_state_distillation_circuit(&self) -> Result<InterfaceCircuit> {
828        let mut circuit = InterfaceCircuit::new(15, 0); // 15-to-1 distillation
829
830        // Simplified 15-to-1 T-state distillation
831        // In practice, this would be a complex multi-level protocol
832
833        // First level: 7-to-1 distillation (using Steane code)
834        for i in 0..7 {
835            circuit.add_gate(InterfaceGate::new(InterfaceGateType::Hadamard, vec![i]));
836        }
837
838        // Add stabilizer measurements for error detection
839        for i in 0..3 {
840            circuit.add_gate(InterfaceGate::new(InterfaceGateType::CNOT, vec![i, i + 7]));
841            circuit.add_gate(InterfaceGate::new(
842                InterfaceGateType::CNOT,
843                vec![i + 3, i + 7],
844            ));
845        }
846
847        // Second level: 15-to-1 using two 7-to-1 outputs
848        circuit.add_gate(InterfaceGate::new(InterfaceGateType::CNOT, vec![13, 14]));
849
850        Ok(circuit)
851    }
852
853    /// Create CCZ-state distillation circuit
854    fn create_ccz_state_distillation_circuit(&self) -> Result<InterfaceCircuit> {
855        let mut circuit = InterfaceCircuit::new(25, 0); // 25-to-1 distillation
856
857        // Simplified CCZ-state distillation
858        // This would typically involve multiple rounds of error detection and correction
859
860        for i in 0..5 {
861            for j in 0..5 {
862                let qubit = i * 5 + j;
863                circuit.add_gate(InterfaceGate::new(InterfaceGateType::Hadamard, vec![qubit]));
864            }
865        }
866
867        // Add CCZ gates for entanglement
868        for i in 0..20 {
869            circuit.add_gate(InterfaceGate::new(
870                InterfaceGateType::Toffoli,
871                vec![i, i + 1, i + 2],
872            ));
873        }
874
875        Ok(circuit)
876    }
877
878    /// Initialize gate library with common logical gates
879    fn initialize_gate_library(&mut self) -> Result<()> {
880        // Logical Pauli-X
881        let logical_x = LogicalGate {
882            gate_type: LogicalGateType::LogicalX,
883            logical_qubits: vec![0],
884            physical_implementation: self.create_logical_pauli_x_circuit()?,
885            resources: ResourceRequirements {
886                physical_qubits: self.config.code_distance * self.config.code_distance,
887                physical_gates: 1,
888                measurement_rounds: 0,
889                magic_states: 0,
890                time_steps: 1,
891                ancilla_qubits: 0,
892            },
893            error_rate: self.calculate_logical_gate_error_rate(LogicalGateType::LogicalX)?,
894        };
895        self.gate_library
896            .insert(LogicalGateType::LogicalX, logical_x);
897
898        // Similar for other Clifford gates...
899
900        Ok(())
901    }
902
903    /// Create logical Pauli-X circuit
904    fn create_logical_pauli_x_circuit(&self) -> Result<InterfaceCircuit> {
905        let distance = self.config.code_distance;
906        let mut circuit = InterfaceCircuit::new(distance * distance, 0);
907
908        // Apply X gates to logical X string
909        for i in 0..distance {
910            circuit.add_gate(InterfaceGate::new(InterfaceGateType::PauliX, vec![i]));
911        }
912
913        Ok(circuit)
914    }
915
916    /// Calculate logical gate error rate
917    fn calculate_logical_gate_error_rate(&self, gate_type: LogicalGateType) -> Result<f64> {
918        let p_phys = self.config.physical_error_rate;
919        let d = self.config.code_distance;
920
921        // Simplified error rate calculation
922        // Real calculation would depend on specific error correction protocol
923        match gate_type {
924            LogicalGateType::LogicalX | LogicalGateType::LogicalY | LogicalGateType::LogicalZ => {
925                // Pauli gates: error suppression ~ (p_phys)^((d+1)/2)
926                Ok(p_phys.powf((d + 1) as f64 / 2.0))
927            }
928            LogicalGateType::LogicalH | LogicalGateType::LogicalS => {
929                // Clifford gates: similar suppression but with overhead
930                Ok(2.0 * p_phys.powf((d + 1) as f64 / 2.0))
931            }
932            LogicalGateType::LogicalT => {
933                // T gate requires magic states: higher error rate
934                Ok(10.0 * p_phys.powf((d + 1) as f64 / 2.0))
935            }
936            _ => Ok(p_phys), // Conservative estimate
937        }
938    }
939
940    /// Synthesize logical Pauli gates
941    pub fn synthesize_logical_pauli(
942        &self,
943        gate_type: LogicalGateType,
944        logical_qubits: &[usize],
945    ) -> Result<LogicalGate> {
946        let distance = self.config.code_distance;
947        let mut circuit = InterfaceCircuit::new(distance * distance, 0);
948
949        let physical_gate = match gate_type {
950            LogicalGateType::LogicalX => InterfaceGateType::PauliX,
951            LogicalGateType::LogicalY => InterfaceGateType::PauliY,
952            LogicalGateType::LogicalZ => InterfaceGateType::PauliZ,
953            _ => {
954                return Err(SimulatorError::InvalidConfiguration(
955                    "Invalid Pauli gate".to_string(),
956                ))
957            }
958        };
959
960        // Apply gate to logical string
961        for i in 0..distance {
962            circuit.add_gate(InterfaceGate::new(physical_gate.clone(), vec![i]));
963        }
964
965        Ok(LogicalGate {
966            gate_type,
967            logical_qubits: logical_qubits.to_vec(),
968            physical_implementation: circuit,
969            resources: ResourceRequirements {
970                physical_qubits: distance * distance,
971                physical_gates: distance,
972                measurement_rounds: 0,
973                magic_states: 0,
974                time_steps: 1,
975                ancilla_qubits: 0,
976            },
977            error_rate: self.calculate_logical_gate_error_rate(gate_type)?,
978        })
979    }
980
981    /// Synthesize logical Hadamard gate
982    pub fn synthesize_logical_hadamard(&self, logical_qubits: &[usize]) -> Result<LogicalGate> {
983        let distance = self.config.code_distance;
984        let mut circuit = InterfaceCircuit::new(distance * distance, 0);
985
986        // Logical Hadamard: transversal for many codes
987        for i in 0..distance * distance {
988            circuit.add_gate(InterfaceGate::new(InterfaceGateType::Hadamard, vec![i]));
989        }
990
991        Ok(LogicalGate {
992            gate_type: LogicalGateType::LogicalH,
993            logical_qubits: logical_qubits.to_vec(),
994            physical_implementation: circuit,
995            resources: ResourceRequirements {
996                physical_qubits: distance * distance,
997                physical_gates: distance * distance,
998                measurement_rounds: 0,
999                magic_states: 0,
1000                time_steps: 1,
1001                ancilla_qubits: 0,
1002            },
1003            error_rate: self.calculate_logical_gate_error_rate(LogicalGateType::LogicalH)?,
1004        })
1005    }
1006
1007    /// Synthesize logical S gate
1008    fn synthesize_logical_s(&self, logical_qubits: &[usize]) -> Result<LogicalGate> {
1009        let distance = self.config.code_distance;
1010        let mut circuit = InterfaceCircuit::new(distance * distance, 0);
1011
1012        // Logical S: transversal for CSS codes
1013        for i in 0..distance * distance {
1014            circuit.add_gate(InterfaceGate::new(InterfaceGateType::S, vec![i]));
1015        }
1016
1017        Ok(LogicalGate {
1018            gate_type: LogicalGateType::LogicalS,
1019            logical_qubits: logical_qubits.to_vec(),
1020            physical_implementation: circuit,
1021            resources: ResourceRequirements {
1022                physical_qubits: distance * distance,
1023                physical_gates: distance * distance,
1024                measurement_rounds: 0,
1025                magic_states: 0,
1026                time_steps: 1,
1027                ancilla_qubits: 0,
1028            },
1029            error_rate: self.calculate_logical_gate_error_rate(LogicalGateType::LogicalS)?,
1030        })
1031    }
1032
1033    /// Synthesize logical T gate using magic states
1034    fn synthesize_logical_t_with_magic_states(
1035        &self,
1036        logical_qubits: &[usize],
1037    ) -> Result<LogicalGate> {
1038        let distance = self.config.code_distance;
1039        let mut circuit = InterfaceCircuit::new(distance * distance + 10, 0); // Extra qubits for magic state
1040
1041        // Magic state injection protocol
1042        // 1. Prepare magic state |T⟩ = T|+⟩
1043        circuit.add_gate(InterfaceGate::new(
1044            InterfaceGateType::Hadamard,
1045            vec![distance * distance],
1046        ));
1047        circuit.add_gate(InterfaceGate::new(
1048            InterfaceGateType::T,
1049            vec![distance * distance],
1050        ));
1051
1052        // 2. Teleport T gate using magic state
1053        for i in 0..distance {
1054            circuit.add_gate(InterfaceGate::new(
1055                InterfaceGateType::CNOT,
1056                vec![i, distance * distance + 1],
1057            ));
1058        }
1059
1060        // 3. Measure magic state and apply corrections
1061        circuit.add_gate(InterfaceGate::new(
1062            InterfaceGateType::Hadamard,
1063            vec![distance * distance],
1064        ));
1065
1066        Ok(LogicalGate {
1067            gate_type: LogicalGateType::LogicalT,
1068            logical_qubits: logical_qubits.to_vec(),
1069            physical_implementation: circuit,
1070            resources: ResourceRequirements {
1071                physical_qubits: distance * distance + 10,
1072                physical_gates: distance + 3,
1073                measurement_rounds: 1,
1074                magic_states: 1,
1075                time_steps: 5,
1076                ancilla_qubits: 10,
1077            },
1078            error_rate: self.calculate_logical_gate_error_rate(LogicalGateType::LogicalT)?,
1079        })
1080    }
1081
1082    /// Synthesize logical CNOT gate
1083    pub fn synthesize_logical_cnot(&self, logical_qubits: &[usize]) -> Result<LogicalGate> {
1084        if logical_qubits.len() != 2 {
1085            return Err(SimulatorError::InvalidConfiguration(
1086                "CNOT requires exactly 2 qubits".to_string(),
1087            ));
1088        }
1089
1090        let distance = self.config.code_distance;
1091        let mut circuit = InterfaceCircuit::new(2 * distance * distance, 0);
1092
1093        // Transversal CNOT for CSS codes
1094        for i in 0..distance * distance {
1095            circuit.add_gate(InterfaceGate::new(
1096                InterfaceGateType::CNOT,
1097                vec![i, i + distance * distance],
1098            ));
1099        }
1100
1101        Ok(LogicalGate {
1102            gate_type: LogicalGateType::LogicalCNOT,
1103            logical_qubits: logical_qubits.to_vec(),
1104            physical_implementation: circuit,
1105            resources: ResourceRequirements {
1106                physical_qubits: 2 * distance * distance,
1107                physical_gates: distance * distance,
1108                measurement_rounds: 0,
1109                magic_states: 0,
1110                time_steps: 1,
1111                ancilla_qubits: 0,
1112            },
1113            error_rate: self.calculate_logical_gate_error_rate(LogicalGateType::LogicalCNOT)?,
1114        })
1115    }
1116
1117    /// Synthesize logical Toffoli gate using magic states
1118    fn synthesize_logical_toffoli_with_magic_states(
1119        &self,
1120        logical_qubits: &[usize],
1121    ) -> Result<LogicalGate> {
1122        if logical_qubits.len() != 3 {
1123            return Err(SimulatorError::InvalidConfiguration(
1124                "Toffoli requires exactly 3 qubits".to_string(),
1125            ));
1126        }
1127
1128        let distance = self.config.code_distance;
1129        let mut circuit = InterfaceCircuit::new(3 * distance * distance + 20, 0);
1130
1131        // CCZ magic state injection protocol
1132        // Complex protocol involving multiple magic states and measurements
1133
1134        // Prepare CCZ magic state
1135        for i in 0..3 {
1136            circuit.add_gate(InterfaceGate::new(
1137                InterfaceGateType::Hadamard,
1138                vec![3 * distance * distance + i],
1139            ));
1140        }
1141
1142        // Apply CCZ to magic state
1143        circuit.add_gate(InterfaceGate::new(
1144            InterfaceGateType::Toffoli,
1145            vec![
1146                3 * distance * distance,
1147                3 * distance * distance + 1,
1148                3 * distance * distance + 2,
1149            ],
1150        ));
1151
1152        // Teleportation protocol (simplified)
1153        for i in 0..distance * distance {
1154            circuit.add_gate(InterfaceGate::new(
1155                InterfaceGateType::CNOT,
1156                vec![i, 3 * distance * distance + 3],
1157            ));
1158            circuit.add_gate(InterfaceGate::new(
1159                InterfaceGateType::CNOT,
1160                vec![i + distance * distance, 3 * distance * distance + 4],
1161            ));
1162            circuit.add_gate(InterfaceGate::new(
1163                InterfaceGateType::CNOT,
1164                vec![i + 2 * distance * distance, 3 * distance * distance + 5],
1165            ));
1166        }
1167
1168        Ok(LogicalGate {
1169            gate_type: LogicalGateType::LogicalToffoli,
1170            logical_qubits: logical_qubits.to_vec(),
1171            physical_implementation: circuit,
1172            resources: ResourceRequirements {
1173                physical_qubits: 3 * distance * distance + 20,
1174                physical_gates: 4 + 3 * distance * distance,
1175                measurement_rounds: 3,
1176                magic_states: 1, // CCZ magic state
1177                time_steps: 10,
1178                ancilla_qubits: 20,
1179            },
1180            error_rate: self.calculate_logical_gate_error_rate(LogicalGateType::LogicalToffoli)?,
1181        })
1182    }
1183
1184    /// Helper methods and remaining implementation details...
1185    fn map_interface_gate_to_logical(&self, gate: &InterfaceGate) -> Result<LogicalGateType> {
1186        match gate.gate_type {
1187            InterfaceGateType::PauliX => Ok(LogicalGateType::LogicalX),
1188            InterfaceGateType::PauliY => Ok(LogicalGateType::LogicalY),
1189            InterfaceGateType::PauliZ => Ok(LogicalGateType::LogicalZ),
1190            InterfaceGateType::Hadamard => Ok(LogicalGateType::LogicalH),
1191            InterfaceGateType::S => Ok(LogicalGateType::LogicalS),
1192            InterfaceGateType::T => Ok(LogicalGateType::LogicalT),
1193            InterfaceGateType::CNOT => Ok(LogicalGateType::LogicalCNOT),
1194            InterfaceGateType::Toffoli => Ok(LogicalGateType::LogicalToffoli),
1195            InterfaceGateType::RY(angle) => Ok(LogicalGateType::LogicalRotation(angle)),
1196            InterfaceGateType::RX(angle) => Ok(LogicalGateType::LogicalRotation(angle)),
1197            InterfaceGateType::RZ(angle) => Ok(LogicalGateType::LogicalRotation(angle)),
1198            _ => Err(SimulatorError::InvalidConfiguration(format!(
1199                "Unsupported gate type for logical synthesis: {:?}",
1200                gate.gate_type
1201            ))),
1202        }
1203    }
1204
1205    fn append_synthesized_gate(
1206        &self,
1207        circuit: &mut InterfaceCircuit,
1208        gate: &LogicalGate,
1209    ) -> Result<()> {
1210        // Append the physical implementation to the fault-tolerant circuit
1211        for physical_gate in &gate.physical_implementation.gates {
1212            circuit.add_gate(physical_gate.clone());
1213        }
1214        Ok(())
1215    }
1216
1217    fn update_resources(&self, total: &mut ResourceRequirements, gate: &ResourceRequirements) {
1218        total.physical_qubits = total.physical_qubits.max(gate.physical_qubits);
1219        total.physical_gates += gate.physical_gates;
1220        total.measurement_rounds += gate.measurement_rounds;
1221        total.magic_states += gate.magic_states;
1222        total.time_steps += gate.time_steps;
1223        total.ancilla_qubits = total.ancilla_qubits.max(gate.ancilla_qubits);
1224    }
1225
1226    fn add_error_correction_rounds(
1227        &self,
1228        circuit: &mut InterfaceCircuit,
1229        distance: usize,
1230    ) -> Result<()> {
1231        // Add periodic error correction rounds
1232        let rounds_needed = circuit.gates.len() / 10; // Every 10 gates
1233
1234        for _ in 0..rounds_needed {
1235            // Add syndrome extraction
1236            for i in 0..distance * distance {
1237                circuit.add_gate(InterfaceGate::new(
1238                    InterfaceGateType::Hadamard,
1239                    vec![circuit.num_qubits + i % 10],
1240                ));
1241            }
1242        }
1243
1244        Ok(())
1245    }
1246
1247    fn calculate_logical_error_rate(&self, result: &FaultTolerantSynthesisResult) -> Result<f64> {
1248        let p_phys = self.config.physical_error_rate;
1249        let d = result.code_distance;
1250        let gate_count = result.synthesis_stats.logical_gates_synthesized;
1251
1252        // Simplified calculation
1253        let base_error_rate = p_phys.powf((d + 1) as f64 / 2.0);
1254        let total_error_rate = gate_count as f64 * base_error_rate;
1255
1256        Ok(total_error_rate.min(1.0))
1257    }
1258
1259    fn calculate_optimal_distance(&self, circuit: &InterfaceCircuit) -> Result<usize> {
1260        let gate_count = circuit.gates.len();
1261        let target_error = self.config.target_logical_error_rate;
1262        let p_phys = self.config.physical_error_rate;
1263
1264        // Find minimum distance that achieves target error rate
1265        for d in (3..20).step_by(2) {
1266            let logical_error = gate_count as f64 * p_phys.powf((d + 1) as f64 / 2.0);
1267            if logical_error < target_error {
1268                return Ok(d);
1269            }
1270        }
1271
1272        Ok(19) // Maximum reasonable distance
1273    }
1274
1275    fn generate_cache_key(&self, circuit: &InterfaceCircuit) -> String {
1276        // Simple cache key based on circuit structure
1277        format!(
1278            "{}_{}_{}_{}",
1279            circuit.num_qubits,
1280            circuit.gates.len(),
1281            self.config.code_distance,
1282            format!("{:?}", self.config.error_correction_code)
1283        )
1284    }
1285
1286    fn initialize_resource_estimator(&mut self) -> Result<()> {
1287        // Initialize error model
1288        let mut gate_errors = HashMap::new();
1289        gate_errors.insert("CNOT".to_string(), 1e-3);
1290        gate_errors.insert("H".to_string(), 5e-4);
1291        gate_errors.insert("T".to_string(), 1e-3);
1292
1293        self.resource_estimator.error_model = PhysicalErrorModel {
1294            gate_errors,
1295            measurement_error: 1e-3,
1296            memory_error: 1e-5,
1297            correlated_error: 1e-4,
1298        };
1299
1300        // Initialize code parameters
1301        let mut code_params = HashMap::new();
1302        code_params.insert(
1303            ErrorCorrectionCode::SurfaceCode,
1304            CodeParameters {
1305                encoding_rate: 1.0 / (self.config.code_distance.pow(2) as f64),
1306                threshold: 1e-2,
1307                resource_scaling: 2.0,
1308                error_suppression: (self.config.code_distance + 1) as f64 / 2.0,
1309            },
1310        );
1311
1312        self.resource_estimator.code_parameters = code_params;
1313
1314        // Initialize magic state costs
1315        let mut magic_costs = HashMap::new();
1316        magic_costs.insert(MagicStateType::TState, 15);
1317        magic_costs.insert(MagicStateType::CCZState, 25);
1318
1319        self.resource_estimator.magic_state_costs = magic_costs;
1320
1321        Ok(())
1322    }
1323
1324    /// Synthesize logical T with magic states (public version)
1325    pub fn synthesize_logical_t_with_magic_states_public(
1326        &self,
1327        logical_qubits: &[usize],
1328    ) -> Result<LogicalGate> {
1329        self.synthesize_logical_t_with_magic_states(logical_qubits)
1330    }
1331
1332    /// Create T state distillation circuit (public version)
1333    pub fn create_t_state_distillation_circuit_public(&self) -> Result<InterfaceCircuit> {
1334        self.create_t_state_distillation_circuit()
1335    }
1336
1337    /// Create CCZ state distillation circuit (public version)
1338    pub fn create_ccz_state_distillation_circuit_public(&self) -> Result<InterfaceCircuit> {
1339        self.create_ccz_state_distillation_circuit()
1340    }
1341
1342    /// Synthesize logical rotation gate
1343    fn synthesize_logical_rotation(
1344        &self,
1345        logical_qubits: &[usize],
1346        angle: f64,
1347    ) -> Result<LogicalGate> {
1348        let distance = self.config.code_distance;
1349        let mut circuit = InterfaceCircuit::new(distance * distance + 10, 0);
1350
1351        // Decompose rotation into Clifford + T gates (Solovay-Kitaev decomposition)
1352        // For simplicity, we'll use a basic decomposition into a few T gates
1353        // In practice, this would be a more sophisticated decomposition
1354
1355        // Apply logical Z rotations using T gates
1356        // R_z(θ) ≈ sequence of T gates and Clifford operations
1357        let num_t_gates = ((angle.abs() / (std::f64::consts::PI / 4.0)).ceil() as usize).max(1);
1358
1359        for i in 0..distance * distance {
1360            // Apply the rotation as a sequence of elementary operations
1361            if angle.abs() > 1e-10 {
1362                // Apply Hadamard to convert between X and Z rotations if needed
1363                if angle.abs() > std::f64::consts::PI / 8.0 {
1364                    circuit.add_gate(InterfaceGate::new(InterfaceGateType::Hadamard, vec![i]));
1365                }
1366
1367                // Apply T gates to approximate the rotation
1368                for _ in 0..num_t_gates {
1369                    circuit.add_gate(InterfaceGate::new(InterfaceGateType::T, vec![i]));
1370                }
1371
1372                // Apply inverse Hadamard if needed
1373                if angle.abs() > std::f64::consts::PI / 8.0 {
1374                    circuit.add_gate(InterfaceGate::new(InterfaceGateType::Hadamard, vec![i]));
1375                }
1376            }
1377        }
1378
1379        Ok(LogicalGate {
1380            gate_type: LogicalGateType::LogicalRotation(angle),
1381            logical_qubits: logical_qubits.to_vec(),
1382            physical_implementation: circuit,
1383            resources: ResourceRequirements {
1384                physical_qubits: distance * distance,
1385                physical_gates: distance * distance * num_t_gates * 2,
1386                measurement_rounds: distance,
1387                magic_states: num_t_gates * distance * distance,
1388                time_steps: num_t_gates * 2,
1389                ancilla_qubits: 10,
1390            },
1391            error_rate: 0.001 * (num_t_gates as f64).mul_add(0.001, 1.0),
1392        })
1393    }
1394
1395    /// Update resources (public version)
1396    pub fn update_resources_public(
1397        &self,
1398        total: &mut ResourceRequirements,
1399        gate: &ResourceRequirements,
1400    ) {
1401        self.update_resources(total, gate);
1402    }
1403
1404    /// Calculate optimal distance (public version)
1405    pub fn calculate_optimal_distance_public(&self, circuit: &InterfaceCircuit) -> Result<usize> {
1406        self.calculate_optimal_distance(circuit)
1407    }
1408
1409    /// Calculate logical gate error rate (public version)
1410    pub fn calculate_logical_gate_error_rate_public(
1411        &self,
1412        gate_type: LogicalGateType,
1413    ) -> Result<f64> {
1414        self.calculate_logical_gate_error_rate(gate_type)
1415    }
1416}
1417
1418/// Benchmark function for fault-tolerant synthesis
1419pub fn benchmark_fault_tolerant_synthesis() -> Result<()> {
1420    println!("Benchmarking Fault-Tolerant Gate Synthesis...");
1421
1422    let config = FaultTolerantConfig::default();
1423    let mut synthesizer = FaultTolerantSynthesizer::new(config)?;
1424
1425    // Create test logical circuit
1426    let mut logical_circuit = InterfaceCircuit::new(2, 0);
1427    logical_circuit.add_gate(InterfaceGate::new(InterfaceGateType::Hadamard, vec![0]));
1428    logical_circuit.add_gate(InterfaceGate::new(InterfaceGateType::CNOT, vec![0, 1]));
1429    logical_circuit.add_gate(InterfaceGate::new(InterfaceGateType::T, vec![1]));
1430
1431    let start_time = std::time::Instant::now();
1432
1433    // Synthesize fault-tolerant implementation
1434    let result = synthesizer.synthesize_logical_circuit(&logical_circuit)?;
1435
1436    let duration = start_time.elapsed();
1437
1438    println!("✅ Fault-Tolerant Synthesis Results:");
1439    println!(
1440        "   Logical Gates Synthesized: {}",
1441        result.synthesis_stats.logical_gates_synthesized
1442    );
1443    println!(
1444        "   Physical Qubits Required: {}",
1445        result.resources.physical_qubits
1446    );
1447    println!(
1448        "   Physical Gates Required: {}",
1449        result.resources.physical_gates
1450    );
1451    println!(
1452        "   Magic States Consumed: {}",
1453        result.resources.magic_states
1454    );
1455    println!("   Code Distance: {}", result.code_distance);
1456    println!("   Logical Error Rate: {:.2e}", result.logical_error_rate);
1457    println!("   Overhead Factor: {:.1}x", result.overhead_factor);
1458    println!("   Synthesis Time: {:.2}ms", duration.as_millis());
1459
1460    Ok(())
1461}
1462
1463#[cfg(test)]
1464mod tests {
1465    use super::*;
1466
1467    #[test]
1468    fn test_fault_tolerant_synthesizer_creation() {
1469        let config = FaultTolerantConfig::default();
1470        let synthesizer = FaultTolerantSynthesizer::new(config);
1471        assert!(synthesizer.is_ok());
1472    }
1473
1474    #[test]
1475    fn test_surface_code_layout_creation() {
1476        let config = FaultTolerantConfig::default();
1477        let synthesizer =
1478            FaultTolerantSynthesizer::new(config).expect("Failed to create synthesizer");
1479        let layout = synthesizer.create_surface_code_layout(3);
1480        assert!(layout.is_ok());
1481    }
1482
1483    #[test]
1484    fn test_logical_pauli_synthesis() {
1485        let config = FaultTolerantConfig::default();
1486        let synthesizer =
1487            FaultTolerantSynthesizer::new(config).expect("Failed to create synthesizer");
1488        let result = synthesizer.synthesize_logical_pauli(LogicalGateType::LogicalX, &[0]);
1489        assert!(result.is_ok());
1490    }
1491
1492    #[test]
1493    fn test_logical_hadamard_synthesis() {
1494        let config = FaultTolerantConfig::default();
1495        let synthesizer =
1496            FaultTolerantSynthesizer::new(config).expect("Failed to create synthesizer");
1497        let result = synthesizer.synthesize_logical_hadamard(&[0]);
1498        assert!(result.is_ok());
1499    }
1500
1501    #[test]
1502    fn test_logical_cnot_synthesis() {
1503        let config = FaultTolerantConfig::default();
1504        let synthesizer =
1505            FaultTolerantSynthesizer::new(config).expect("Failed to create synthesizer");
1506        let result = synthesizer.synthesize_logical_cnot(&[0, 1]);
1507        assert!(result.is_ok());
1508    }
1509
1510    #[test]
1511    fn test_resource_requirements_update() {
1512        let config = FaultTolerantConfig::default();
1513        let synthesizer =
1514            FaultTolerantSynthesizer::new(config).expect("Failed to create synthesizer");
1515
1516        let mut total = ResourceRequirements::default();
1517        let gate_resources = ResourceRequirements {
1518            physical_qubits: 10,
1519            physical_gates: 5,
1520            measurement_rounds: 1,
1521            magic_states: 2,
1522            time_steps: 3,
1523            ancilla_qubits: 4,
1524        };
1525
1526        synthesizer.update_resources(&mut total, &gate_resources);
1527
1528        assert_eq!(total.physical_qubits, 10);
1529        assert_eq!(total.physical_gates, 5);
1530        assert_eq!(total.magic_states, 2);
1531    }
1532
1533    #[test]
1534    fn test_optimal_distance_calculation() {
1535        let config = FaultTolerantConfig {
1536            target_logical_error_rate: 1e-10,
1537            physical_error_rate: 1e-3,
1538            ..FaultTolerantConfig::default()
1539        };
1540        let synthesizer =
1541            FaultTolerantSynthesizer::new(config).expect("Failed to create synthesizer");
1542
1543        let circuit = InterfaceCircuit::new(2, 0);
1544        let distance = synthesizer.calculate_optimal_distance(&circuit);
1545        assert!(distance.is_ok());
1546        let distance_value = distance.expect("Failed to calculate optimal distance");
1547        assert!(distance_value >= 3);
1548    }
1549
1550    /// Regression: the stabilizer neighbour lists used a modular-arithmetic
1551    /// placeholder `(i*d + j + offset) % (d*d)` with no relation to lattice
1552    /// geometry. They now return genuine star / plaquette adjacency on the
1553    /// data-qubit grid, with boundary truncation.
1554    #[test]
1555    fn test_surface_code_stabilizer_neighbors_are_geometric() {
1556        let synthesizer = FaultTolerantSynthesizer::new(FaultTolerantConfig::default())
1557            .expect("Failed to create synthesizer");
1558        let distance = 3usize;
1559
1560        // Bulk X-star at vertex (1,1): the plus of orthogonal neighbours.
1561        let mut x_bulk = synthesizer.get_x_stabilizer_neighbors(1, 1, distance);
1562        x_bulk.sort_unstable();
1563        assert_eq!(x_bulk, vec![1, 3, 5, 7]); // (0,1),(1,0),(1,2),(2,1)
1564
1565        // Corner X-star (0,0) truncates to two in-grid neighbours (no wrap).
1566        let mut x_corner = synthesizer.get_x_stabilizer_neighbors(0, 0, distance);
1567        x_corner.sort_unstable();
1568        assert_eq!(x_corner, vec![1, 3]); // (0,1),(1,0)
1569
1570        // Bulk Z-plaquette at face (0,0): its four cell corners.
1571        let mut z_bulk = synthesizer.get_z_stabilizer_neighbors(0, 0, distance);
1572        z_bulk.sort_unstable();
1573        assert_eq!(z_bulk, vec![0, 1, 3, 4]); // (0,0),(0,1),(1,0),(1,1)
1574
1575        // Boundary Z-plaquette at the bottom edge truncates to weight 2.
1576        let mut z_edge = synthesizer.get_z_stabilizer_neighbors(2, 0, distance);
1577        z_edge.sort_unstable();
1578        assert_eq!(z_edge, vec![6, 7]); // (2,0),(2,1); (3,*) off-grid
1579
1580        // The old modular placeholder produced neighbours like {4,5,6,7} for
1581        // X-stab (1,1); assert we no longer see that meaningless wraparound.
1582        assert_ne!(x_bulk, vec![4, 5, 6, 7]);
1583
1584        // Every neighbour is a valid data-qubit index and geometrically
1585        // adjacent to the stabilizer cell (Chebyshev distance <= 1), and the
1586        // lists contain no duplicates.
1587        let total = distance * distance;
1588        for i in 0..distance - 1 {
1589            for j in 0..distance {
1590                let n = synthesizer.get_x_stabilizer_neighbors(i, j, distance);
1591                let mut seen = std::collections::HashSet::new();
1592                for &q in &n {
1593                    assert!(q < total, "neighbour {q} out of range");
1594                    let (r, c) = (q / distance, q % distance);
1595                    let dr = (r as isize - i as isize).unsigned_abs();
1596                    let dc = (c as isize - j as isize).unsigned_abs();
1597                    assert!(dr <= 1 && dc <= 1, "neighbour not adjacent");
1598                    assert!(seen.insert(q), "duplicate neighbour {q}");
1599                }
1600            }
1601        }
1602    }
1603}