quantrs2_circuit/
fault_tolerant.rs

1//! Fault-tolerant quantum circuit compilation
2//!
3//! This module provides tools for compiling logical quantum circuits into
4//! fault-tolerant implementations using quantum error correction codes,
5//! magic state distillation, and syndrome extraction.
6
7use crate::builder::Circuit;
8use quantrs2_core::{
9    error::{QuantRS2Error, QuantRS2Result},
10    gate::GateOp,
11    qubit::QubitId,
12};
13use serde::{Deserialize, Serialize};
14use std::collections::{HashMap, HashSet, VecDeque};
15use std::sync::Arc;
16
17/// Quantum error correction codes
18#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
19pub enum QECCode {
20    /// Surface code with distance d
21    SurfaceCode { distance: usize },
22    /// Color code
23    ColorCode { distance: usize },
24    /// Repetition code
25    RepetitionCode { distance: usize },
26    /// Steane code (7-qubit CSS code)
27    SteaneCode,
28    /// Shor code (9-qubit code)
29    ShorCode,
30    /// Bacon-Shor code
31    BaconShorCode { m: usize, n: usize },
32    /// Concatenated code
33    ConcatenatedCode {
34        inner_code: Box<Self>,
35        outer_code: Box<Self>,
36        levels: usize,
37    },
38}
39
40impl QECCode {
41    /// Get the number of physical qubits required
42    #[must_use]
43    pub fn physical_qubits(&self) -> usize {
44        match self {
45            Self::SurfaceCode { distance } => distance * distance,
46            Self::ColorCode { distance } => 2 * distance * distance - 2 * distance + 1,
47            Self::RepetitionCode { distance } => *distance,
48            Self::SteaneCode => 7,
49            Self::ShorCode => 9,
50            Self::BaconShorCode { m, n } => m * n,
51            Self::ConcatenatedCode {
52                inner_code, levels, ..
53            } => {
54                let base_qubits = inner_code.physical_qubits();
55                (0..*levels).fold(1, |acc, _| acc * base_qubits)
56            }
57        }
58    }
59
60    /// Get the code distance
61    #[must_use]
62    pub fn distance(&self) -> usize {
63        match self {
64            Self::SurfaceCode { distance }
65            | Self::ColorCode { distance }
66            | Self::RepetitionCode { distance } => *distance,
67            Self::SteaneCode | Self::ShorCode => 3,
68            Self::BaconShorCode { m, n } => (*m).min(*n),
69            Self::ConcatenatedCode {
70                inner_code, levels, ..
71            } => {
72                let base_distance = inner_code.distance();
73                (0..*levels).fold(1, |acc, _| acc * base_distance)
74            }
75        }
76    }
77
78    /// Check if the code can correct t errors
79    #[must_use]
80    pub fn can_correct(&self, t: usize) -> bool {
81        self.distance() > 2 * t
82    }
83}
84
85/// Logical qubit representation
86#[derive(Debug, Clone)]
87pub struct LogicalQubit {
88    /// Logical qubit ID
89    pub id: usize,
90    /// Physical qubits used for encoding
91    pub physical_qubits: Vec<usize>,
92    /// Error correction code
93    pub code: QECCode,
94    /// Current error syndrome
95    pub syndrome: Option<Vec<u8>>,
96    /// Error tracking
97    pub error_count: usize,
98}
99
100impl LogicalQubit {
101    /// Create a new logical qubit
102    #[must_use]
103    pub fn new(id: usize, code: QECCode) -> Self {
104        let num_physical = code.physical_qubits();
105        let physical_qubits = (id * num_physical..(id + 1) * num_physical).collect();
106
107        Self {
108            id,
109            physical_qubits,
110            code,
111            syndrome: None,
112            error_count: 0,
113        }
114    }
115
116    /// Get data qubits (excluding ancilla qubits)
117    #[must_use]
118    pub fn data_qubits(&self) -> Vec<usize> {
119        match &self.code {
120            QECCode::SurfaceCode { distance } => {
121                // For surface code, data qubits are at specific positions
122                let mut data_qubits = Vec::new();
123                for i in 0..*distance {
124                    for j in 0..*distance {
125                        if (i + j) % 2 == 0 {
126                            // Data qubits on even positions
127                            data_qubits.push(self.physical_qubits[i * distance + j]);
128                        }
129                    }
130                }
131                data_qubits
132            }
133            QECCode::SteaneCode => {
134                // First 4 qubits are data qubits in Steane code
135                self.physical_qubits[0..4].to_vec()
136            }
137            QECCode::ShorCode => {
138                // Specific data qubit positions for Shor code
139                vec![
140                    self.physical_qubits[0],
141                    self.physical_qubits[3],
142                    self.physical_qubits[6],
143                ]
144            }
145            _ => {
146                // Default: first half are data qubits
147                let half = self.physical_qubits.len() / 2;
148                self.physical_qubits[0..half].to_vec()
149            }
150        }
151    }
152
153    /// Get ancilla qubits for syndrome measurement
154    #[must_use]
155    pub fn ancilla_qubits(&self) -> Vec<usize> {
156        let data_qubits = self.data_qubits();
157        self.physical_qubits
158            .iter()
159            .filter(|&&q| !data_qubits.contains(&q))
160            .copied()
161            .collect()
162    }
163}
164
165/// Fault-tolerant gate implementation
166#[derive(Debug, Clone)]
167pub struct FaultTolerantGate {
168    /// Gate name
169    pub name: String,
170    /// Logical qubits involved
171    pub logical_qubits: Vec<usize>,
172    /// Physical gate sequence
173    pub physical_gates: Vec<PhysicalGate>,
174    /// Syndrome measurements required
175    pub syndrome_measurements: Vec<SyndromeMeasurement>,
176    /// Magic states consumed
177    pub magic_states: usize,
178    /// Error correction overhead
179    pub correction_overhead: f64,
180}
181
182/// Physical gate in fault-tolerant implementation
183#[derive(Debug, Clone)]
184pub struct PhysicalGate {
185    /// Gate type
186    pub gate_type: String,
187    /// Physical qubits
188    pub qubits: Vec<usize>,
189    /// Gate parameters
190    pub parameters: Vec<f64>,
191    /// Execution time
192    pub time: Option<f64>,
193}
194
195/// Syndrome measurement for error detection
196#[derive(Debug, Clone)]
197pub struct SyndromeMeasurement {
198    /// Measurement type
199    pub measurement_type: SyndromeType,
200    /// Qubits involved in measurement
201    pub qubits: Vec<usize>,
202    /// Ancilla qubit for measurement
203    pub ancilla: usize,
204    /// Expected syndrome value
205    pub expected_value: u8,
206}
207
208/// Types of syndrome measurements
209#[derive(Debug, Clone, PartialEq, Eq)]
210pub enum SyndromeType {
211    /// X-type stabilizer measurement
212    XStabilizer,
213    /// Z-type stabilizer measurement
214    ZStabilizer,
215    /// Joint XZ measurement
216    XZStabilizer,
217}
218
219/// Magic state type for universal computation
220#[derive(Debug, Clone, PartialEq)]
221pub enum MagicState {
222    /// T state |T⟩ = (|0⟩ + e^(iπ/4)|1⟩)/√2
223    TState,
224    /// Y state |Y⟩ = (|0⟩ + i|1⟩)/√2
225    YState,
226    /// CCZ state for multi-controlled operations
227    CCZState,
228    /// Custom magic state
229    Custom { name: String, fidelity: f64 },
230}
231
232impl MagicState {
233    /// Get the fidelity threshold required for distillation
234    #[must_use]
235    pub const fn fidelity_threshold(&self) -> f64 {
236        match self {
237            Self::TState | Self::YState => 0.95,
238            Self::CCZState => 0.99,
239            Self::Custom { fidelity, .. } => *fidelity,
240        }
241    }
242
243    /// Get distillation overhead
244    #[must_use]
245    pub const fn distillation_overhead(&self) -> f64 {
246        match self {
247            Self::TState => 15.0, // Approximate overhead for T state distillation
248            Self::YState => 10.0,
249            Self::CCZState => 50.0,
250            Self::Custom { .. } => 20.0,
251        }
252    }
253}
254
255/// Fault-tolerant circuit compiler
256pub struct FaultTolerantCompiler {
257    /// Default error correction code
258    default_code: QECCode,
259    /// Magic state factory configuration
260    magic_state_factory: MagicStateFactory,
261    /// Error threshold
262    error_threshold: f64,
263    /// Compilation options
264    options: CompilationOptions,
265}
266
267/// Magic state factory for producing high-fidelity magic states
268#[derive(Debug, Clone)]
269pub struct MagicStateFactory {
270    /// Types of magic states produced
271    supported_states: Vec<MagicState>,
272    /// Production rate (states per second)
273    production_rate: HashMap<MagicState, f64>,
274    /// Distillation protocols
275    distillation_protocols: HashMap<MagicState, DistillationProtocol>,
276}
277
278/// Distillation protocol for magic states
279#[derive(Debug, Clone)]
280pub struct DistillationProtocol {
281    /// Protocol name
282    pub name: String,
283    /// Input state fidelity requirement
284    pub input_fidelity: f64,
285    /// Output state fidelity
286    pub output_fidelity: f64,
287    /// Success probability
288    pub success_probability: f64,
289    /// Physical qubits required
290    pub qubits_required: usize,
291    /// Time overhead
292    pub time_overhead: f64,
293}
294
295/// Compilation options for fault-tolerant circuits
296#[derive(Debug, Clone)]
297pub struct CompilationOptions {
298    /// Optimize for space (fewer qubits)
299    pub optimize_space: bool,
300    /// Optimize for time (fewer operations)
301    pub optimize_time: bool,
302    /// Enable magic state recycling
303    pub recycle_magic_states: bool,
304    /// Syndrome extraction frequency
305    pub syndrome_frequency: usize,
306    /// Error correction strategy
307    pub correction_strategy: CorrectionStrategy,
308}
309
310/// Error correction strategies
311#[derive(Debug, Clone, PartialEq)]
312pub enum CorrectionStrategy {
313    /// Correct errors immediately when detected
314    Immediate,
315    /// Defer correction until end of computation
316    Deferred,
317    /// Adaptive strategy based on error rates
318    Adaptive { threshold: f64 },
319}
320
321impl Default for CompilationOptions {
322    fn default() -> Self {
323        Self {
324            optimize_space: false,
325            optimize_time: true,
326            recycle_magic_states: true,
327            syndrome_frequency: 1,
328            correction_strategy: CorrectionStrategy::Immediate,
329        }
330    }
331}
332
333impl FaultTolerantCompiler {
334    /// Create a new fault-tolerant compiler
335    #[must_use]
336    pub fn new(code: QECCode) -> Self {
337        let magic_state_factory = MagicStateFactory {
338            supported_states: vec![MagicState::TState, MagicState::YState],
339            production_rate: HashMap::new(),
340            distillation_protocols: HashMap::new(),
341        };
342
343        Self {
344            default_code: code,
345            magic_state_factory,
346            error_threshold: 1e-3,
347            options: CompilationOptions::default(),
348        }
349    }
350
351    /// Compile a logical circuit to fault-tolerant implementation
352    pub fn compile<const N: usize>(
353        &self,
354        logical_circuit: &Circuit<N>,
355    ) -> QuantRS2Result<FaultTolerantCircuit> {
356        // Create logical qubits
357        let logical_qubits = self.create_logical_qubits(N)?;
358
359        // Compile each gate
360        let mut ft_gates = Vec::new();
361        let mut magic_state_count = 0;
362
363        for gate in logical_circuit.gates() {
364            let ft_gate = self.compile_gate(gate.as_ref(), &logical_qubits)?;
365            magic_state_count += ft_gate.magic_states;
366            ft_gates.push(ft_gate);
367        }
368
369        // Generate syndrome extraction circuits
370        let syndrome_circuits = self.generate_syndrome_circuits(&logical_qubits)?;
371
372        // Calculate resource requirements
373        let total_physical_qubits: usize = logical_qubits
374            .iter()
375            .map(|lq| lq.physical_qubits.len())
376            .sum();
377
378        let ancilla_qubits = syndrome_circuits
379            .iter()
380            .map(|sc| sc.ancilla_qubits.len())
381            .sum::<usize>();
382
383        Ok(FaultTolerantCircuit {
384            logical_qubits,
385            ft_gates,
386            syndrome_circuits,
387            magic_state_requirements: magic_state_count,
388            physical_qubit_count: total_physical_qubits + ancilla_qubits,
389            error_threshold: self.error_threshold,
390            code: self.default_code.clone(),
391        })
392    }
393
394    /// Create logical qubits for the circuit
395    fn create_logical_qubits(&self, num_logical: usize) -> QuantRS2Result<Vec<LogicalQubit>> {
396        let mut logical_qubits = Vec::new();
397
398        for i in 0..num_logical {
399            let logical_qubit = LogicalQubit::new(i, self.default_code.clone());
400            logical_qubits.push(logical_qubit);
401        }
402
403        Ok(logical_qubits)
404    }
405
406    /// Compile a single logical gate to fault-tolerant implementation
407    fn compile_gate(
408        &self,
409        gate: &dyn GateOp,
410        logical_qubits: &[LogicalQubit],
411    ) -> QuantRS2Result<FaultTolerantGate> {
412        let gate_name = gate.name();
413        let logical_targets: Vec<_> = gate.qubits().iter().map(|q| q.id() as usize).collect();
414
415        match gate_name {
416            "H" => self.compile_hadamard_gate(&logical_targets, logical_qubits),
417            "CNOT" => self.compile_cnot_gate(&logical_targets, logical_qubits),
418            "T" => self.compile_t_gate(&logical_targets, logical_qubits),
419            "S" => self.compile_s_gate(&logical_targets, logical_qubits),
420            "X" | "Y" | "Z" => self.compile_pauli_gate(gate_name, &logical_targets, logical_qubits),
421            _ => Err(QuantRS2Error::InvalidInput(format!(
422                "Gate {gate_name} not supported in fault-tolerant compilation"
423            ))),
424        }
425    }
426
427    /// Compile Hadamard gate
428    fn compile_hadamard_gate(
429        &self,
430        targets: &[usize],
431        logical_qubits: &[LogicalQubit],
432    ) -> QuantRS2Result<FaultTolerantGate> {
433        if targets.len() != 1 {
434            return Err(QuantRS2Error::InvalidInput(
435                "Hadamard gate requires exactly one target".to_string(),
436            ));
437        }
438
439        let target_lq = &logical_qubits[targets[0]];
440        let mut physical_gates = Vec::new();
441
442        // For surface code, Hadamard is transversal
443        match &target_lq.code {
444            QECCode::SurfaceCode { .. } => {
445                // Apply Hadamard to all data qubits
446                for &data_qubit in &target_lq.data_qubits() {
447                    physical_gates.push(PhysicalGate {
448                        gate_type: "H".to_string(),
449                        qubits: vec![data_qubit],
450                        parameters: vec![],
451                        time: Some(1.0),
452                    });
453                }
454            }
455            _ => {
456                // For other codes, might need magic state injection
457                physical_gates.push(PhysicalGate {
458                    gate_type: "H".to_string(),
459                    qubits: target_lq.data_qubits(),
460                    parameters: vec![],
461                    time: Some(1.0),
462                });
463            }
464        }
465
466        Ok(FaultTolerantGate {
467            name: "H".to_string(),
468            logical_qubits: targets.to_vec(),
469            physical_gates,
470            syndrome_measurements: vec![],
471            magic_states: 0,
472            correction_overhead: 1.0,
473        })
474    }
475
476    /// Compile CNOT gate
477    fn compile_cnot_gate(
478        &self,
479        targets: &[usize],
480        logical_qubits: &[LogicalQubit],
481    ) -> QuantRS2Result<FaultTolerantGate> {
482        if targets.len() != 2 {
483            return Err(QuantRS2Error::InvalidInput(
484                "CNOT gate requires exactly two targets".to_string(),
485            ));
486        }
487
488        let control_lq = &logical_qubits[targets[0]];
489        let target_lq = &logical_qubits[targets[1]];
490        let mut physical_gates = Vec::new();
491
492        // For surface code, CNOT requires lattice surgery or braiding
493        if let (QECCode::SurfaceCode { .. }, QECCode::SurfaceCode { .. }) =
494            (&control_lq.code, &target_lq.code)
495        {
496            // Implement lattice surgery for CNOT
497            let control_data = control_lq.data_qubits();
498            let target_data = target_lq.data_qubits();
499
500            // This is a simplified implementation
501            // Real lattice surgery requires careful boundary management
502            for (i, (&c_qubit, &t_qubit)) in control_data.iter().zip(target_data.iter()).enumerate()
503            {
504                physical_gates.push(PhysicalGate {
505                    gate_type: "CNOT".to_string(),
506                    qubits: vec![c_qubit, t_qubit],
507                    parameters: vec![],
508                    time: Some(10.0), // Lattice surgery takes longer
509                });
510            }
511        } else {
512            // Simplified implementation for other codes
513            let control_data = control_lq.data_qubits();
514            let target_data = target_lq.data_qubits();
515
516            for (&c_qubit, &t_qubit) in control_data.iter().zip(target_data.iter()) {
517                physical_gates.push(PhysicalGate {
518                    gate_type: "CNOT".to_string(),
519                    qubits: vec![c_qubit, t_qubit],
520                    parameters: vec![],
521                    time: Some(2.0),
522                });
523            }
524        }
525
526        Ok(FaultTolerantGate {
527            name: "CNOT".to_string(),
528            logical_qubits: targets.to_vec(),
529            physical_gates,
530            syndrome_measurements: vec![],
531            magic_states: 0,
532            correction_overhead: 2.0,
533        })
534    }
535
536    /// Compile T gate (requires magic state)
537    fn compile_t_gate(
538        &self,
539        targets: &[usize],
540        logical_qubits: &[LogicalQubit],
541    ) -> QuantRS2Result<FaultTolerantGate> {
542        if targets.len() != 1 {
543            return Err(QuantRS2Error::InvalidInput(
544                "T gate requires exactly one target".to_string(),
545            ));
546        }
547
548        let target_lq = &logical_qubits[targets[0]];
549        let mut physical_gates = Vec::new();
550        let mut syndrome_measurements = Vec::new();
551
552        // T gate requires magic state injection
553        let data_qubits = target_lq.data_qubits();
554        let ancilla_qubits = target_lq.ancilla_qubits();
555
556        // Simplified magic state injection
557        for (&data_qubit, &ancilla_qubit) in data_qubits.iter().zip(ancilla_qubits.iter()) {
558            // CNOT from magic state to data qubit
559            physical_gates.push(PhysicalGate {
560                gate_type: "CNOT".to_string(),
561                qubits: vec![ancilla_qubit, data_qubit], // Magic state as control
562                parameters: vec![],
563                time: Some(1.0),
564            });
565
566            // Measure ancilla in X basis
567            syndrome_measurements.push(SyndromeMeasurement {
568                measurement_type: SyndromeType::XStabilizer,
569                qubits: vec![ancilla_qubit],
570                ancilla: ancilla_qubit,
571                expected_value: 0,
572            });
573        }
574
575        Ok(FaultTolerantGate {
576            name: "T".to_string(),
577            logical_qubits: targets.to_vec(),
578            physical_gates,
579            syndrome_measurements,
580            magic_states: 1,
581            correction_overhead: 15.0, // High overhead due to magic state distillation
582        })
583    }
584
585    /// Compile S gate
586    fn compile_s_gate(
587        &self,
588        targets: &[usize],
589        logical_qubits: &[LogicalQubit],
590    ) -> QuantRS2Result<FaultTolerantGate> {
591        if targets.len() != 1 {
592            return Err(QuantRS2Error::InvalidInput(
593                "S gate requires exactly one target".to_string(),
594            ));
595        }
596
597        let target_lq = &logical_qubits[targets[0]];
598        let mut physical_gates = Vec::new();
599
600        // S gate is transversal for many codes
601        for &data_qubit in &target_lq.data_qubits() {
602            physical_gates.push(PhysicalGate {
603                gate_type: "S".to_string(),
604                qubits: vec![data_qubit],
605                parameters: vec![],
606                time: Some(1.0),
607            });
608        }
609
610        Ok(FaultTolerantGate {
611            name: "S".to_string(),
612            logical_qubits: targets.to_vec(),
613            physical_gates,
614            syndrome_measurements: vec![],
615            magic_states: 0,
616            correction_overhead: 1.0,
617        })
618    }
619
620    /// Compile Pauli gates (X, Y, Z)
621    fn compile_pauli_gate(
622        &self,
623        gate_name: &str,
624        targets: &[usize],
625        logical_qubits: &[LogicalQubit],
626    ) -> QuantRS2Result<FaultTolerantGate> {
627        if targets.len() != 1 {
628            return Err(QuantRS2Error::InvalidInput(
629                "Pauli gate requires exactly one target".to_string(),
630            ));
631        }
632
633        let target_lq = &logical_qubits[targets[0]];
634        let mut physical_gates = Vec::new();
635
636        // Pauli gates are transversal
637        for &data_qubit in &target_lq.data_qubits() {
638            physical_gates.push(PhysicalGate {
639                gate_type: gate_name.to_string(),
640                qubits: vec![data_qubit],
641                parameters: vec![],
642                time: Some(1.0),
643            });
644        }
645
646        Ok(FaultTolerantGate {
647            name: gate_name.to_string(),
648            logical_qubits: targets.to_vec(),
649            physical_gates,
650            syndrome_measurements: vec![],
651            magic_states: 0,
652            correction_overhead: 1.0,
653        })
654    }
655
656    /// Generate syndrome extraction circuits
657    fn generate_syndrome_circuits(
658        &self,
659        logical_qubits: &[LogicalQubit],
660    ) -> QuantRS2Result<Vec<SyndromeCircuit>> {
661        let mut circuits = Vec::new();
662
663        for logical_qubit in logical_qubits {
664            match &logical_qubit.code {
665                QECCode::SurfaceCode { distance } => {
666                    circuits.push(self.generate_surface_code_syndrome(logical_qubit, *distance)?);
667                }
668                QECCode::SteaneCode => {
669                    circuits.push(self.generate_steane_syndrome(logical_qubit)?);
670                }
671                _ => {
672                    // Generic syndrome circuit
673                    circuits.push(self.generate_generic_syndrome(logical_qubit)?);
674                }
675            }
676        }
677
678        Ok(circuits)
679    }
680
681    /// Generate syndrome circuit for surface code
682    fn generate_surface_code_syndrome(
683        &self,
684        logical_qubit: &LogicalQubit,
685        distance: usize,
686    ) -> QuantRS2Result<SyndromeCircuit> {
687        let mut measurements = Vec::new();
688        let mut ancilla_qubits = Vec::new();
689
690        // X-type stabilizers (star operators)
691        for i in 0..distance - 1 {
692            for j in 0..distance {
693                if (i + j) % 2 == 1 {
694                    // X-stabilizers on odd positions
695                    let ancilla = logical_qubit.physical_qubits.len() + ancilla_qubits.len();
696                    ancilla_qubits.push(ancilla);
697
698                    // Qubits involved in this stabilizer
699                    let involved_qubits = vec![
700                        logical_qubit.physical_qubits[i * distance + j],
701                        logical_qubit.physical_qubits[(i + 1) * distance + j],
702                    ];
703
704                    measurements.push(SyndromeMeasurement {
705                        measurement_type: SyndromeType::XStabilizer,
706                        qubits: involved_qubits,
707                        ancilla,
708                        expected_value: 0,
709                    });
710                }
711            }
712        }
713
714        // Z-type stabilizers (face operators)
715        for i in 0..distance {
716            for j in 0..distance - 1 {
717                if (i + j) % 2 == 0 {
718                    // Z-stabilizers on even positions
719                    let ancilla = logical_qubit.physical_qubits.len() + ancilla_qubits.len();
720                    ancilla_qubits.push(ancilla);
721
722                    let involved_qubits = vec![
723                        logical_qubit.physical_qubits[i * distance + j],
724                        logical_qubit.physical_qubits[i * distance + j + 1],
725                    ];
726
727                    measurements.push(SyndromeMeasurement {
728                        measurement_type: SyndromeType::ZStabilizer,
729                        qubits: involved_qubits,
730                        ancilla,
731                        expected_value: 0,
732                    });
733                }
734            }
735        }
736
737        Ok(SyndromeCircuit {
738            logical_qubit_id: logical_qubit.id,
739            measurements: measurements.clone(),
740            ancilla_qubits,
741            syndrome_length: measurements.len(),
742        })
743    }
744
745    /// Generate syndrome circuit for Steane code
746    fn generate_steane_syndrome(
747        &self,
748        logical_qubit: &LogicalQubit,
749    ) -> QuantRS2Result<SyndromeCircuit> {
750        let mut measurements = Vec::new();
751        let ancilla_qubits = vec![7, 8, 9, 10, 11, 12]; // 6 ancilla qubits for Steane code
752
753        // X-type stabilizers
754        let x_stabilizers = [
755            [0, 1, 2, 3], // First X stabilizer
756            [1, 2, 5, 6], // Second X stabilizer
757            [0, 3, 4, 5], // Third X stabilizer
758        ];
759
760        for (i, stabilizer) in x_stabilizers.iter().enumerate() {
761            measurements.push(SyndromeMeasurement {
762                measurement_type: SyndromeType::XStabilizer,
763                qubits: stabilizer
764                    .iter()
765                    .map(|&q| logical_qubit.physical_qubits[q])
766                    .collect(),
767                ancilla: ancilla_qubits[i],
768                expected_value: 0,
769            });
770        }
771
772        // Z-type stabilizers
773        let z_stabilizers = [
774            [0, 1, 4, 6], // First Z stabilizer
775            [1, 3, 4, 5], // Second Z stabilizer
776            [0, 2, 3, 6], // Third Z stabilizer
777        ];
778
779        for (i, stabilizer) in z_stabilizers.iter().enumerate() {
780            measurements.push(SyndromeMeasurement {
781                measurement_type: SyndromeType::ZStabilizer,
782                qubits: stabilizer
783                    .iter()
784                    .map(|&q| logical_qubit.physical_qubits[q])
785                    .collect(),
786                ancilla: ancilla_qubits[i + 3],
787                expected_value: 0,
788            });
789        }
790
791        Ok(SyndromeCircuit {
792            logical_qubit_id: logical_qubit.id,
793            measurements,
794            ancilla_qubits,
795            syndrome_length: 6,
796        })
797    }
798
799    /// Generate generic syndrome circuit
800    fn generate_generic_syndrome(
801        &self,
802        logical_qubit: &LogicalQubit,
803    ) -> QuantRS2Result<SyndromeCircuit> {
804        let measurements = vec![SyndromeMeasurement {
805            measurement_type: SyndromeType::ZStabilizer,
806            qubits: logical_qubit.data_qubits(),
807            ancilla: logical_qubit.ancilla_qubits()[0],
808            expected_value: 0,
809        }];
810
811        Ok(SyndromeCircuit {
812            logical_qubit_id: logical_qubit.id,
813            measurements: measurements.clone(),
814            ancilla_qubits: logical_qubit.ancilla_qubits(),
815            syndrome_length: measurements.len(),
816        })
817    }
818}
819
820/// Syndrome extraction circuit
821#[derive(Debug, Clone)]
822pub struct SyndromeCircuit {
823    /// Logical qubit this circuit applies to
824    pub logical_qubit_id: usize,
825    /// Syndrome measurements
826    pub measurements: Vec<SyndromeMeasurement>,
827    /// Ancilla qubits used
828    pub ancilla_qubits: Vec<usize>,
829    /// Length of syndrome bit string
830    pub syndrome_length: usize,
831}
832
833/// Fault-tolerant circuit representation
834#[derive(Debug, Clone)]
835pub struct FaultTolerantCircuit {
836    /// Logical qubits
837    pub logical_qubits: Vec<LogicalQubit>,
838    /// Fault-tolerant gates
839    pub ft_gates: Vec<FaultTolerantGate>,
840    /// Syndrome extraction circuits
841    pub syndrome_circuits: Vec<SyndromeCircuit>,
842    /// Total magic states required
843    pub magic_state_requirements: usize,
844    /// Total physical qubits needed
845    pub physical_qubit_count: usize,
846    /// Error threshold
847    pub error_threshold: f64,
848    /// Error correction code used
849    pub code: QECCode,
850}
851
852impl FaultTolerantCircuit {
853    /// Calculate total execution time
854    #[must_use]
855    pub fn execution_time(&self) -> f64 {
856        let gate_time: f64 = self
857            .ft_gates
858            .iter()
859            .flat_map(|gate| &gate.physical_gates)
860            .filter_map(|pg| pg.time)
861            .sum();
862
863        let syndrome_time = self.syndrome_circuits.len() as f64 * 10.0; // Assume 10 units per syndrome round
864
865        gate_time + syndrome_time
866    }
867
868    /// Estimate resource overhead compared to logical circuit
869    #[must_use]
870    pub fn resource_overhead(&self, logical_gates: usize) -> ResourceOverhead {
871        let space_overhead = self.physical_qubit_count as f64 / self.logical_qubits.len() as f64;
872
873        let physical_gates: usize = self
874            .ft_gates
875            .iter()
876            .map(|gate| gate.physical_gates.len())
877            .sum();
878        let time_overhead = physical_gates as f64 / logical_gates as f64;
879
880        ResourceOverhead {
881            space_overhead,
882            time_overhead,
883            magic_state_overhead: self.magic_state_requirements as f64,
884        }
885    }
886}
887
888/// Resource overhead analysis
889#[derive(Debug, Clone)]
890pub struct ResourceOverhead {
891    /// Physical qubits per logical qubit
892    pub space_overhead: f64,
893    /// Physical gates per logical gate
894    pub time_overhead: f64,
895    /// Magic states required
896    pub magic_state_overhead: f64,
897}
898
899#[cfg(test)]
900mod tests {
901    use super::*;
902    use quantrs2_core::gate::multi::CNOT;
903    use quantrs2_core::gate::single::{Hadamard, PauliX};
904
905    #[test]
906    fn test_qec_code_properties() {
907        let surface_code = QECCode::SurfaceCode { distance: 3 };
908        assert_eq!(surface_code.physical_qubits(), 9);
909        assert_eq!(surface_code.distance(), 3);
910        assert!(surface_code.can_correct(1));
911
912        let steane_code = QECCode::SteaneCode;
913        assert_eq!(steane_code.physical_qubits(), 7);
914        assert_eq!(steane_code.distance(), 3);
915    }
916
917    #[test]
918    fn test_logical_qubit_creation() {
919        let code = QECCode::SurfaceCode { distance: 3 };
920        let logical_qubit = LogicalQubit::new(0, code);
921
922        assert_eq!(logical_qubit.id, 0);
923        assert_eq!(logical_qubit.physical_qubits.len(), 9);
924        assert!(!logical_qubit.data_qubits().is_empty());
925    }
926
927    #[test]
928    fn test_ft_compiler_creation() {
929        let code = QECCode::SteaneCode;
930        let compiler = FaultTolerantCompiler::new(code);
931
932        assert!(matches!(compiler.default_code, QECCode::SteaneCode));
933        assert!(compiler.error_threshold > 0.0);
934    }
935
936    #[test]
937    fn test_magic_state_properties() {
938        let t_state = MagicState::TState;
939        assert!(t_state.fidelity_threshold() > 0.9);
940        assert!(t_state.distillation_overhead() > 1.0);
941
942        let custom_state = MagicState::Custom {
943            name: "Test".to_string(),
944            fidelity: 0.98,
945        };
946        assert_eq!(custom_state.fidelity_threshold(), 0.98);
947    }
948
949    #[test]
950    fn test_syndrome_measurement() {
951        let measurement = SyndromeMeasurement {
952            measurement_type: SyndromeType::XStabilizer,
953            qubits: vec![0, 1, 2],
954            ancilla: 3,
955            expected_value: 0,
956        };
957
958        assert_eq!(measurement.qubits.len(), 3);
959        assert_eq!(measurement.measurement_type, SyndromeType::XStabilizer);
960    }
961
962    #[test]
963    fn test_ft_circuit_properties() {
964        let code = QECCode::SteaneCode;
965        let logical_qubits = vec![LogicalQubit::new(0, code.clone())];
966
967        let circuit = FaultTolerantCircuit {
968            logical_qubits,
969            ft_gates: vec![],
970            syndrome_circuits: vec![],
971            magic_state_requirements: 5,
972            physical_qubit_count: 20,
973            error_threshold: 1e-3,
974            code,
975        };
976
977        assert_eq!(circuit.magic_state_requirements, 5);
978        assert_eq!(circuit.physical_qubit_count, 20);
979
980        let overhead = circuit.resource_overhead(10);
981        assert!(overhead.space_overhead > 1.0);
982    }
983
984    #[test]
985    fn test_compilation_options() {
986        let options = CompilationOptions::default();
987        assert!(options.optimize_time);
988        assert!(options.recycle_magic_states);
989        assert_eq!(options.syndrome_frequency, 1);
990    }
991}