use scirs2_core::ndarray::{Array1, Array2};
use scirs2_core::random::prelude::*;
use scirs2_core::random::ChaCha8Rng;
use scirs2_core::random::{Rng, SeedableRng};
use std::collections::HashMap;
use std::time::{Duration, Instant};
use super::codes::{CodeParameters, ErrorCorrectionCode};
use super::config::{QECResult, QuantumErrorCorrectionError};
use super::logical_operations::LogicalOperation;
use crate::ising::IsingModel;
use crate::qaoa::QuantumState;
use crate::simulator::AnnealingResult;
#[derive(Debug, Clone)]
pub struct SyndromeDetector {
pub code: ErrorCorrectionCode,
pub parameters: CodeParameters,
pub stabilizer_generators: Array2<u8>,
pub parity_check_matrix: Array2<u8>,
pub correction_table: HashMap<Vec<u8>, CorrectionOperation>,
pub detection_stats: DetectionStatistics,
pub config: SyndromeDetectorConfig,
}
#[derive(Debug, Clone)]
pub struct SyndromeDetectorConfig {
pub measurement_frequency: f64,
pub correction_threshold: f64,
pub max_history_length: usize,
pub adaptive_timing: bool,
pub noise_model: NoiseModel,
pub decoder: DecodingAlgorithm,
}
#[derive(Debug, Clone)]
pub struct NoiseModel {
pub single_qubit_error_rate: f64,
pub two_qubit_error_rate: f64,
pub measurement_error_rate: f64,
pub coherence_time: f64,
pub thermal_noise_rate: f64,
}
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum DecodingAlgorithm {
MinimumWeight,
MaximumLikelihood,
NeuralNetwork,
BeliefPropagation,
LookupTable,
UnionFind,
}
#[derive(Debug, Clone)]
pub struct CorrectionOperation {
pub pauli_corrections: Vec<PauliCorrection>,
pub confidence: f64,
pub success_probability: f64,
pub required_resources: CorrectionResources,
}
#[derive(Debug, Clone)]
pub struct PauliCorrection {
pub qubit: usize,
pub operation: PauliType,
pub weight: f64,
}
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum PauliType {
I, X, Y, Z, }
#[derive(Debug, Clone)]
pub struct CorrectionResources {
pub num_measurements: usize,
pub num_correction_gates: usize,
pub time_overhead: f64,
pub ancilla_qubits: usize,
}
#[derive(Debug, Clone)]
pub struct DetectionStatistics {
pub total_measurements: usize,
pub errors_detected: usize,
pub successful_corrections: usize,
pub failed_corrections: usize,
pub avg_detection_time: Duration,
pub avg_correction_time: Duration,
pub syndrome_history: Vec<SyndromeRecord>,
}
#[derive(Debug, Clone)]
pub struct SyndromeRecord {
pub timestamp: Instant,
pub syndrome: Vec<u8>,
pub error_locations: Option<Vec<usize>>,
pub correction_applied: Option<CorrectionOperation>,
pub confidence: f64,
}
#[derive(Debug, Clone)]
pub struct SyndromeResult {
pub syndrome: Vec<u8>,
pub correction: Option<CorrectionOperation>,
pub confidence: f64,
pub error_locations: Vec<usize>,
pub metadata: SyndromeMetadata,
}
#[derive(Debug, Clone)]
pub struct SyndromeMetadata {
pub detection_time: Duration,
pub num_measurements: usize,
pub decoder_used: DecodingAlgorithm,
pub estimated_noise_level: f64,
}
impl SyndromeDetector {
pub fn new(
code: ErrorCorrectionCode,
parameters: CodeParameters,
config: SyndromeDetectorConfig,
) -> QECResult<Self> {
let stabilizer_generators = Self::generate_stabilizers(&code, ¶meters)?;
let parity_check_matrix = Self::generate_parity_check_matrix(&code, ¶meters)?;
let correction_table = Self::build_correction_table(&code, ¶meters, &config.decoder)?;
Ok(Self {
code,
parameters,
stabilizer_generators,
parity_check_matrix,
correction_table,
detection_stats: DetectionStatistics::new(),
config,
})
}
pub fn detect_syndrome(&mut self, state: &QuantumState) -> QECResult<SyndromeResult> {
let start_time = Instant::now();
let syndrome = self.measure_syndrome(state)?;
let (correction, error_locations) = if self.is_trivial_syndrome(&syndrome) {
(None, Vec::new())
} else {
let correction = self.decode_syndrome(&syndrome)?;
let error_locations = self.extract_error_locations(&correction);
(Some(correction), error_locations)
};
let confidence = self.calculate_detection_confidence(&syndrome, &error_locations)?;
self.update_detection_stats(&syndrome, correction.as_ref(), start_time.elapsed());
let metadata = SyndromeMetadata {
detection_time: start_time.elapsed(),
num_measurements: self.stabilizer_generators.nrows(),
decoder_used: self.config.decoder.clone(),
estimated_noise_level: self.estimate_noise_level(&syndrome),
};
Ok(SyndromeResult {
syndrome,
correction,
confidence,
error_locations,
metadata,
})
}
pub fn apply_correction(
&mut self,
state: &mut QuantumState,
correction: &CorrectionOperation,
) -> QECResult<()> {
let start_time = Instant::now();
for pauli_correction in &correction.pauli_corrections {
self.apply_pauli_correction(state, pauli_correction)?;
}
self.detection_stats.successful_corrections += 1;
self.detection_stats.avg_correction_time = Self::update_average_time(
self.detection_stats.avg_correction_time,
start_time.elapsed(),
self.detection_stats.successful_corrections,
);
Ok(())
}
pub fn detect_and_correct(&mut self, state: &mut QuantumState) -> QECResult<SyndromeResult> {
let syndrome_result = self.detect_syndrome(state)?;
if let Some(ref correction) = syndrome_result.correction {
if syndrome_result.confidence >= self.config.correction_threshold {
self.apply_correction(state, correction)?;
}
}
Ok(syndrome_result)
}
fn generate_stabilizers(
code: &ErrorCorrectionCode,
parameters: &CodeParameters,
) -> QECResult<Array2<u8>> {
match code {
ErrorCorrectionCode::SurfaceCode => Self::generate_surface_code_stabilizers(parameters),
ErrorCorrectionCode::RepetitionCode => {
Self::generate_repetition_code_stabilizers(parameters)
}
ErrorCorrectionCode::SteaneCode => Self::generate_steane_code_stabilizers(parameters),
ErrorCorrectionCode::ShorCode => Self::generate_shor_code_stabilizers(parameters),
_ => Err(QuantumErrorCorrectionError::CodeError(format!(
"Stabilizer generation not implemented for code: {code:?}"
))),
}
}
fn generate_surface_code_stabilizers(parameters: &CodeParameters) -> QECResult<Array2<u8>> {
let d = parameters.distance;
let num_qubits = parameters.num_physical_qubits;
let num_stabilizers = num_qubits - parameters.num_logical_qubits;
let mut stabilizers = Array2::zeros((num_stabilizers, 2 * num_qubits));
let mut stabilizer_idx = 0;
for row in 0..(d - 1) {
for col in 0..(d - 1) {
if (row + col) % 2 == 0 {
let qubits = Self::get_plaquette_qubits(row, col, d);
for &qubit in &qubits {
if qubit < num_qubits {
stabilizers[[stabilizer_idx, qubit]] = 1; }
}
stabilizer_idx += 1;
}
}
}
for row in 0..d {
for col in 0..d {
if (row + col) % 2 == 1 {
let qubits = Self::get_vertex_qubits(row, col, d);
for &qubit in &qubits {
if qubit < num_qubits {
stabilizers[[stabilizer_idx, num_qubits + qubit]] = 1;
}
}
stabilizer_idx += 1;
if stabilizer_idx >= num_stabilizers {
break;
}
}
}
if stabilizer_idx >= num_stabilizers {
break;
}
}
Ok(stabilizers)
}
fn generate_repetition_code_stabilizers(parameters: &CodeParameters) -> QECResult<Array2<u8>> {
let n = parameters.num_physical_qubits;
let num_stabilizers = n - 1;
let mut stabilizers = Array2::zeros((num_stabilizers, 2 * n));
for i in 0..num_stabilizers {
stabilizers[[i, n + i]] = 1; stabilizers[[i, n + i + 1]] = 1; }
Ok(stabilizers)
}
fn generate_steane_code_stabilizers(parameters: &CodeParameters) -> QECResult<Array2<u8>> {
let n = 7; let mut stabilizers = Array2::zeros((6, 14));
stabilizers[[0, 0]] = 1;
stabilizers[[0, 2]] = 1;
stabilizers[[0, 4]] = 1;
stabilizers[[0, 6]] = 1;
stabilizers[[1, 1]] = 1;
stabilizers[[1, 2]] = 1;
stabilizers[[1, 5]] = 1;
stabilizers[[1, 6]] = 1;
stabilizers[[2, 3]] = 1;
stabilizers[[2, 4]] = 1;
stabilizers[[2, 5]] = 1;
stabilizers[[2, 6]] = 1;
stabilizers[[3, 7]] = 1;
stabilizers[[3, 9]] = 1;
stabilizers[[3, 11]] = 1;
stabilizers[[3, 13]] = 1;
stabilizers[[4, 8]] = 1;
stabilizers[[4, 9]] = 1;
stabilizers[[4, 12]] = 1;
stabilizers[[4, 13]] = 1;
stabilizers[[5, 10]] = 1;
stabilizers[[5, 11]] = 1;
stabilizers[[5, 12]] = 1;
stabilizers[[5, 13]] = 1;
Ok(stabilizers)
}
fn generate_shor_code_stabilizers(parameters: &CodeParameters) -> QECResult<Array2<u8>> {
let n = 9; let mut stabilizers = Array2::zeros((8, 18));
stabilizers[[0, 0]] = 1;
stabilizers[[0, 1]] = 1;
stabilizers[[0, 2]] = 1;
stabilizers[[1, 3]] = 1;
stabilizers[[1, 4]] = 1;
stabilizers[[1, 5]] = 1;
stabilizers[[2, 6]] = 1;
stabilizers[[2, 7]] = 1;
stabilizers[[2, 8]] = 1;
stabilizers[[3, 9]] = 1;
stabilizers[[3, 10]] = 1;
stabilizers[[4, 10]] = 1;
stabilizers[[4, 11]] = 1;
stabilizers[[5, 12]] = 1;
stabilizers[[5, 13]] = 1;
stabilizers[[6, 13]] = 1;
stabilizers[[6, 14]] = 1;
stabilizers[[7, 15]] = 1;
stabilizers[[7, 16]] = 1;
Ok(stabilizers)
}
fn generate_parity_check_matrix(
code: &ErrorCorrectionCode,
parameters: &CodeParameters,
) -> QECResult<Array2<u8>> {
let stabilizers = Self::generate_stabilizers(code, parameters)?;
Ok(stabilizers) }
fn build_correction_table(
code: &ErrorCorrectionCode,
parameters: &CodeParameters,
decoder: &DecodingAlgorithm,
) -> QECResult<HashMap<Vec<u8>, CorrectionOperation>> {
let mut table = HashMap::new();
match decoder {
DecodingAlgorithm::LookupTable => {
Self::build_lookup_table_decoder(code, parameters, &mut table)?;
}
DecodingAlgorithm::MinimumWeight => {
table.insert(
vec![0; parameters.num_physical_qubits - parameters.num_logical_qubits],
CorrectionOperation::identity(),
);
}
_ => {
table.insert(
vec![0; parameters.num_physical_qubits - parameters.num_logical_qubits],
CorrectionOperation::identity(),
);
}
}
Ok(table)
}
fn build_lookup_table_decoder(
code: &ErrorCorrectionCode,
parameters: &CodeParameters,
table: &mut HashMap<Vec<u8>, CorrectionOperation>,
) -> QECResult<()> {
let num_syndrome_bits = parameters.num_physical_qubits - parameters.num_logical_qubits;
if num_syndrome_bits <= 10 {
for syndrome_int in 0..(1 << num_syndrome_bits) {
let syndrome = Self::int_to_syndrome(syndrome_int, num_syndrome_bits);
let correction = Self::compute_minimum_weight_correction(&syndrome, parameters)?;
table.insert(syndrome, correction);
}
}
Ok(())
}
fn int_to_syndrome(syndrome_int: usize, num_bits: usize) -> Vec<u8> {
(0..num_bits)
.map(|i| ((syndrome_int >> i) & 1) as u8)
.collect()
}
fn compute_minimum_weight_correction(
syndrome: &[u8],
parameters: &CodeParameters,
) -> QECResult<CorrectionOperation> {
let mut corrections = Vec::new();
for (i, &bit) in syndrome.iter().enumerate() {
if bit == 1 {
corrections.push(PauliCorrection {
qubit: i % parameters.num_physical_qubits,
operation: if i < parameters.num_physical_qubits {
PauliType::X
} else {
PauliType::Z
},
weight: 1.0,
});
}
}
Ok(CorrectionOperation {
pauli_corrections: corrections.clone(),
confidence: 0.8, success_probability: 0.9,
required_resources: CorrectionResources {
num_measurements: syndrome.len(),
num_correction_gates: corrections.len(),
time_overhead: 10.0 * corrections.len() as f64,
ancilla_qubits: 0,
},
})
}
fn measure_syndrome(&self, state: &QuantumState) -> QECResult<Vec<u8>> {
let num_stabilizers = self.stabilizer_generators.nrows();
let mut syndrome = vec![0u8; num_stabilizers];
let mut rng = ChaCha8Rng::from_rng(&mut thread_rng());
for i in 0..num_stabilizers {
let error_prob = self.config.noise_model.measurement_error_rate;
syndrome[i] = u8::from(rng.random::<f64>() < error_prob);
}
Ok(syndrome)
}
fn is_trivial_syndrome(&self, syndrome: &[u8]) -> bool {
syndrome.iter().all(|&bit| bit == 0)
}
fn decode_syndrome(&self, syndrome: &[u8]) -> QECResult<CorrectionOperation> {
match self.config.decoder {
DecodingAlgorithm::LookupTable => {
if let Some(correction) = self.correction_table.get(syndrome) {
Ok(correction.clone())
} else {
Self::compute_minimum_weight_correction(syndrome, &self.parameters)
}
}
DecodingAlgorithm::MinimumWeight => {
Self::compute_minimum_weight_correction(syndrome, &self.parameters)
}
_ => {
Self::compute_minimum_weight_correction(syndrome, &self.parameters)
}
}
}
fn extract_error_locations(&self, correction: &CorrectionOperation) -> Vec<usize> {
correction
.pauli_corrections
.iter()
.map(|pc| pc.qubit)
.collect()
}
fn calculate_detection_confidence(
&self,
syndrome: &[u8],
error_locations: &[usize],
) -> QECResult<f64> {
let syndrome_weight = syndrome.iter().map(|&b| b as usize).sum::<usize>();
let max_weight = syndrome.len();
let weight_factor = 1.0 - (syndrome_weight as f64 / max_weight as f64);
let noise_factor = 1.0 - self.config.noise_model.measurement_error_rate;
Ok(weight_factor * noise_factor * 0.9) }
fn estimate_noise_level(&self, syndrome: &[u8]) -> f64 {
let syndrome_weight = syndrome.iter().map(|&b| f64::from(b)).sum::<f64>();
syndrome_weight / syndrome.len() as f64
}
fn apply_pauli_correction(
&self,
state: &QuantumState,
correction: &PauliCorrection,
) -> QECResult<()> {
println!(
"Applying {:?} correction to qubit {}",
correction.operation, correction.qubit
);
Ok(())
}
fn update_detection_stats(
&mut self,
syndrome: &[u8],
correction: Option<&CorrectionOperation>,
detection_time: Duration,
) {
self.detection_stats.total_measurements += 1;
if !self.is_trivial_syndrome(syndrome) {
self.detection_stats.errors_detected += 1;
}
self.detection_stats.avg_detection_time = Self::update_average_time(
self.detection_stats.avg_detection_time,
detection_time,
self.detection_stats.total_measurements,
);
let record = SyndromeRecord {
timestamp: Instant::now(),
syndrome: syndrome.to_vec(),
error_locations: correction.map(|c| self.extract_error_locations(c)),
correction_applied: correction.cloned(),
confidence: 0.8, };
self.detection_stats.syndrome_history.push(record);
if self.detection_stats.syndrome_history.len() > self.config.max_history_length {
self.detection_stats.syndrome_history.remove(0);
}
}
fn update_average_time(current_avg: Duration, new_time: Duration, count: usize) -> Duration {
let current_total = current_avg * (count - 1) as u32;
let new_total = current_total + new_time;
new_total / count as u32
}
fn get_plaquette_qubits(row: usize, col: usize, d: usize) -> Vec<usize> {
let mut qubits = Vec::new();
if row > 0 {
qubits.push(row * d + col);
}
if col > 0 {
qubits.push(row * d + col - 1);
}
if row < d - 1 {
qubits.push((row + 1) * d + col);
}
if col < d - 1 {
qubits.push(row * d + col + 1);
}
qubits
}
fn get_vertex_qubits(row: usize, col: usize, d: usize) -> Vec<usize> {
Self::get_plaquette_qubits(row, col, d)
}
}
impl CorrectionOperation {
#[must_use]
pub const fn identity() -> Self {
Self {
pauli_corrections: Vec::new(),
confidence: 1.0,
success_probability: 1.0,
required_resources: CorrectionResources {
num_measurements: 0,
num_correction_gates: 0,
time_overhead: 0.0,
ancilla_qubits: 0,
},
}
}
}
impl DetectionStatistics {
#[must_use]
pub const fn new() -> Self {
Self {
total_measurements: 0,
errors_detected: 0,
successful_corrections: 0,
failed_corrections: 0,
avg_detection_time: Duration::from_nanos(0),
avg_correction_time: Duration::from_nanos(0),
syndrome_history: Vec::new(),
}
}
#[must_use]
pub fn error_detection_rate(&self) -> f64 {
if self.total_measurements == 0 {
0.0
} else {
self.errors_detected as f64 / self.total_measurements as f64
}
}
#[must_use]
pub fn correction_success_rate(&self) -> f64 {
let total_corrections = self.successful_corrections + self.failed_corrections;
if total_corrections == 0 {
0.0
} else {
self.successful_corrections as f64 / total_corrections as f64
}
}
}
impl Default for SyndromeDetectorConfig {
fn default() -> Self {
Self {
measurement_frequency: 1000.0, correction_threshold: 0.7,
max_history_length: 1000,
adaptive_timing: true,
noise_model: NoiseModel::default(),
decoder: DecodingAlgorithm::MinimumWeight,
}
}
}
impl Default for NoiseModel {
fn default() -> Self {
Self {
single_qubit_error_rate: 0.001,
two_qubit_error_rate: 0.01,
measurement_error_rate: 0.02,
coherence_time: 100.0, thermal_noise_rate: 0.0001,
}
}
}
#[cfg(test)]
mod tests {
use super::*;
use crate::quantum_error_correction::codes::*;
#[test]
fn test_syndrome_detector_creation() {
let code = ErrorCorrectionCode::RepetitionCode;
let parameters = CodeParameters {
distance: 3,
num_logical_qubits: 1,
num_physical_qubits: 3,
num_ancilla_qubits: 2,
code_rate: 1.0 / 3.0,
threshold_probability: 0.1,
};
let config = SyndromeDetectorConfig::default();
let detector = SyndromeDetector::new(code, parameters, config);
assert!(detector.is_ok());
}
#[test]
fn test_repetition_code_stabilizers() {
let parameters = CodeParameters {
distance: 3,
num_logical_qubits: 1,
num_physical_qubits: 3,
num_ancilla_qubits: 2,
code_rate: 1.0 / 3.0,
threshold_probability: 0.1,
};
let stabilizers = SyndromeDetector::generate_repetition_code_stabilizers(¶meters)
.expect("should generate repetition code stabilizers");
assert_eq!(stabilizers.nrows(), 2); assert_eq!(stabilizers.ncols(), 6); }
#[test]
fn test_trivial_syndrome_detection() {
let detector = create_test_detector();
let syndrome = vec![0, 0, 0];
assert!(detector.is_trivial_syndrome(&syndrome));
let non_trivial = vec![1, 0, 1];
assert!(!detector.is_trivial_syndrome(&non_trivial));
}
#[test]
fn test_minimum_weight_correction() {
let parameters = CodeParameters {
distance: 3,
num_logical_qubits: 1,
num_physical_qubits: 3,
num_ancilla_qubits: 2,
code_rate: 1.0 / 3.0,
threshold_probability: 0.1,
};
let syndrome = vec![1, 0];
let correction =
SyndromeDetector::compute_minimum_weight_correction(&syndrome, ¶meters)
.expect("should compute minimum weight correction");
assert_eq!(correction.pauli_corrections.len(), 1);
assert_eq!(correction.pauli_corrections[0].qubit, 0);
}
fn create_test_detector() -> SyndromeDetector {
let code = ErrorCorrectionCode::RepetitionCode;
let parameters = CodeParameters {
distance: 3,
num_logical_qubits: 1,
num_physical_qubits: 3,
num_ancilla_qubits: 2,
code_rate: 1.0 / 3.0,
threshold_probability: 0.1,
};
let config = SyndromeDetectorConfig::default();
SyndromeDetector::new(code, parameters, config)
.expect("should create syndrome detector for testing")
}
}