use super::{CVDeviceConfig, Complex, GaussianState};
use crate::{DeviceError, DeviceResult};
use serde::{Deserialize, Serialize};
use std::f64::consts::PI;
#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
pub enum CVErrorCorrectionCode {
GKP {
spacing: f64,
logical_qubits: usize,
},
CoherentState {
alphabet_size: usize,
amplitudes: Vec<Complex>,
},
SqueezeStabilizer {
stabilizers: Vec<CVStabilizer>,
},
Concatenated {
inner_code: Box<Self>,
outer_code: Box<Self>,
},
}
#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
pub struct CVStabilizer {
pub operators: Vec<(f64, usize, QuadratureType)>,
pub eigenvalue: f64,
}
#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
pub enum QuadratureType {
Position,
Momentum,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CVErrorCorrectionConfig {
pub code_type: CVErrorCorrectionCode,
pub error_model: CVErrorModel,
pub syndrome_threshold: f64,
pub max_correction_attempts: usize,
pub real_time_correction: bool,
pub decoder_config: CVDecoderConfig,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CVErrorModel {
pub displacement_std: f64,
pub phase_std: f64,
pub loss_probability: f64,
pub thermal_photons: f64,
pub detector_efficiency: f64,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CVDecoderConfig {
pub decoder_type: CVDecoderType,
pub ml_threshold: f64,
pub lookup_table_size: usize,
pub enable_ml_enhancement: bool,
}
#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
pub enum CVDecoderType {
MaximumLikelihood,
MinimumDistance,
NeuralNetwork,
LookupTable,
}
impl Default for CVErrorCorrectionConfig {
fn default() -> Self {
Self {
code_type: CVErrorCorrectionCode::GKP {
spacing: (PI).sqrt(),
logical_qubits: 1,
},
error_model: CVErrorModel::default(),
syndrome_threshold: 0.1,
max_correction_attempts: 3,
real_time_correction: true,
decoder_config: CVDecoderConfig::default(),
}
}
}
impl Default for CVErrorModel {
fn default() -> Self {
Self {
displacement_std: 0.1,
phase_std: 0.05,
loss_probability: 0.01,
thermal_photons: 0.1,
detector_efficiency: 0.95,
}
}
}
impl Default for CVDecoderConfig {
fn default() -> Self {
Self {
decoder_type: CVDecoderType::MaximumLikelihood,
ml_threshold: 0.8,
lookup_table_size: 10000,
enable_ml_enhancement: false,
}
}
}
pub struct CVErrorCorrector {
config: CVErrorCorrectionConfig,
logical_state: Option<CVLogicalState>,
syndrome_history: Vec<CVSyndrome>,
correction_stats: CorrectionStatistics,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CVLogicalState {
pub physical_modes: GaussianState,
pub logical_info: Vec<LogicalQubitInfo>,
pub code_parameters: CodeParameters,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct LogicalQubitInfo {
pub qubit_id: usize,
pub physical_modes: Vec<usize>,
pub logical_operators: LogicalOperators,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct LogicalOperators {
pub logical_x: CVOperator,
pub logical_z: CVOperator,
pub logical_y: CVOperator,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CVOperator {
pub displacements: Vec<Complex>,
pub squeezings: Vec<(f64, f64)>, pub couplings: Vec<ModeCoupling>,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct ModeCoupling {
pub modes: (usize, usize),
pub strength: f64,
pub coupling_type: CouplingType,
}
#[derive(Debug, Clone, PartialEq, Eq, Serialize, Deserialize)]
pub enum CouplingType {
Beamsplitter,
TwoModeSqueezing,
CrossKerr,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CodeParameters {
pub distance: usize,
pub num_physical_modes: usize,
pub num_logical_qubits: usize,
pub error_threshold: f64,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CVSyndrome {
pub syndrome_id: usize,
pub measurements: Vec<SyndromeMeasurement>,
pub timestamp: f64,
pub confidence: f64,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct SyndromeMeasurement {
pub stabilizer_id: usize,
pub outcome: f64,
pub expected_value: f64,
pub uncertainty: f64,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CorrectionStatistics {
pub total_syndromes: usize,
pub successful_corrections: usize,
pub failed_corrections: usize,
pub average_fidelity: f64,
pub logical_error_rate: f64,
}
impl Default for CorrectionStatistics {
fn default() -> Self {
Self {
total_syndromes: 0,
successful_corrections: 0,
failed_corrections: 0,
average_fidelity: 0.0,
logical_error_rate: 0.0,
}
}
}
impl CVErrorCorrector {
pub fn new(config: CVErrorCorrectionConfig) -> Self {
Self {
config,
logical_state: None,
syndrome_history: Vec::new(),
correction_stats: CorrectionStatistics::default(),
}
}
pub async fn initialize_logical_state(
&mut self,
initial_state: GaussianState,
) -> DeviceResult<CVLogicalState> {
println!("Initializing CV logical state...");
let logical_state = match &self.config.code_type {
CVErrorCorrectionCode::GKP {
spacing,
logical_qubits,
} => {
self.initialize_gkp_state(initial_state, *spacing, *logical_qubits)
.await?
}
CVErrorCorrectionCode::CoherentState {
alphabet_size,
amplitudes,
} => {
self.initialize_coherent_state_code(initial_state, *alphabet_size, amplitudes)
.await?
}
_ => {
return Err(DeviceError::UnsupportedOperation(
"Code type not yet implemented".to_string(),
));
}
};
self.logical_state = Some(logical_state.clone());
println!("Logical state initialized successfully");
Ok(logical_state)
}
async fn initialize_gkp_state(
&self,
mut physical_state: GaussianState,
spacing: f64,
num_logical_qubits: usize,
) -> DeviceResult<CVLogicalState> {
let num_physical_modes = physical_state.num_modes;
for mode in 0..num_physical_modes.min(num_logical_qubits) {
for i in 0..10 {
let phase = 2.0 * PI * i as f64 / 10.0;
let squeezing_param = 0.5 * (spacing / PI.sqrt()).ln();
physical_state.apply_squeezing(mode, squeezing_param, phase)?;
}
}
let mut logical_info = Vec::new();
for qubit_id in 0..num_logical_qubits {
let logical_operators = self.build_gkp_logical_operators(qubit_id, spacing);
logical_info.push(LogicalQubitInfo {
qubit_id,
physical_modes: vec![qubit_id], logical_operators,
});
}
let code_parameters = CodeParameters {
distance: 1, num_physical_modes,
num_logical_qubits,
error_threshold: 0.5 * spacing,
};
Ok(CVLogicalState {
physical_modes: physical_state,
logical_info,
code_parameters,
})
}
fn build_gkp_logical_operators(&self, qubit_id: usize, spacing: f64) -> LogicalOperators {
let logical_x = CVOperator {
displacements: vec![Complex::new(spacing, 0.0)],
squeezings: Vec::new(),
couplings: Vec::new(),
};
let logical_z = CVOperator {
displacements: vec![Complex::new(0.0, spacing)],
squeezings: Vec::new(),
couplings: Vec::new(),
};
let logical_y = CVOperator {
displacements: vec![Complex::new(
spacing / (2.0_f64).sqrt(),
spacing / (2.0_f64).sqrt(),
)],
squeezings: Vec::new(),
couplings: Vec::new(),
};
LogicalOperators {
logical_x,
logical_z,
logical_y,
}
}
async fn initialize_coherent_state_code(
&self,
physical_state: GaussianState,
alphabet_size: usize,
amplitudes: &[Complex],
) -> DeviceResult<CVLogicalState> {
if amplitudes.len() != alphabet_size {
return Err(DeviceError::InvalidInput(
"Number of amplitudes must match alphabet size".to_string(),
));
}
let num_physical_modes = physical_state.num_modes;
let num_logical_qubits = 1;
let logical_info = vec![LogicalQubitInfo {
qubit_id: 0,
physical_modes: (0..num_physical_modes).collect(),
logical_operators: self.build_coherent_state_logical_operators(amplitudes),
}];
let code_parameters = CodeParameters {
distance: alphabet_size / 2, num_physical_modes,
num_logical_qubits,
error_threshold: amplitudes.iter().map(|a| a.magnitude()).sum::<f64>()
/ alphabet_size as f64
* 0.5,
};
Ok(CVLogicalState {
physical_modes: physical_state,
logical_info,
code_parameters,
})
}
fn build_coherent_state_logical_operators(&self, amplitudes: &[Complex]) -> LogicalOperators {
let avg_amplitude = amplitudes.iter().fold(Complex::zero(), |acc, &a| acc + a)
* (1.0 / amplitudes.len() as f64);
LogicalOperators {
logical_x: CVOperator {
displacements: vec![avg_amplitude],
squeezings: Vec::new(),
couplings: Vec::new(),
},
logical_z: CVOperator {
displacements: vec![Complex::new(0.0, avg_amplitude.magnitude())],
squeezings: Vec::new(),
couplings: Vec::new(),
},
logical_y: CVOperator {
displacements: vec![Complex::new(avg_amplitude.real, avg_amplitude.magnitude())],
squeezings: Vec::new(),
couplings: Vec::new(),
},
}
}
pub async fn measure_syndrome(&mut self) -> DeviceResult<CVSyndrome> {
if self.logical_state.is_none() {
return Err(DeviceError::InvalidInput(
"No logical state initialized".to_string(),
));
}
let syndrome_id = self.syndrome_history.len();
let mut measurements = Vec::new();
match &self.config.code_type {
CVErrorCorrectionCode::GKP { spacing, .. } => {
measurements = self.measure_gkp_stabilizers(*spacing).await?;
}
CVErrorCorrectionCode::CoherentState { amplitudes, .. } => {
measurements = self.measure_coherent_state_stabilizers(amplitudes).await?;
}
_ => {
return Err(DeviceError::UnsupportedOperation(
"Syndrome measurement not implemented for this code type".to_string(),
));
}
}
let confidence = measurements
.iter()
.map(|m| 1.0 / (1.0 + m.uncertainty))
.sum::<f64>()
/ measurements.len() as f64;
let syndrome = CVSyndrome {
syndrome_id,
measurements,
timestamp: std::time::SystemTime::now()
.duration_since(std::time::UNIX_EPOCH)
.expect("System time should be after UNIX epoch")
.as_secs_f64(),
confidence,
};
self.syndrome_history.push(syndrome.clone());
self.correction_stats.total_syndromes += 1;
Ok(syndrome)
}
async fn measure_gkp_stabilizers(
&self,
spacing: f64,
) -> DeviceResult<Vec<SyndromeMeasurement>> {
let logical_state = self
.logical_state
.as_ref()
.ok_or_else(|| DeviceError::InvalidInput("No logical state initialized".to_string()))?;
let mut measurements = Vec::new();
for mode in 0..logical_state.physical_modes.num_modes {
let x_measurement = self
.measure_periodic_stabilizer(mode, QuadratureType::Position, spacing)
.await?;
measurements.push(x_measurement);
let p_measurement = self
.measure_periodic_stabilizer(mode, QuadratureType::Momentum, spacing)
.await?;
measurements.push(p_measurement);
}
Ok(measurements)
}
async fn measure_periodic_stabilizer(
&self,
mode: usize,
quadrature_type: QuadratureType,
spacing: f64,
) -> DeviceResult<SyndromeMeasurement> {
let logical_state = self
.logical_state
.as_ref()
.ok_or_else(|| DeviceError::InvalidInput("No logical state initialized".to_string()))?;
let config = CVDeviceConfig::default();
let phase = match quadrature_type {
QuadratureType::Position => 0.0,
QuadratureType::Momentum => PI / 2.0,
};
let mut temp_state = logical_state.physical_modes.clone();
let outcome = temp_state.homodyne_measurement(mode, phase, &config)?;
let syndrome_value = (outcome % spacing) / spacing;
let expected_value = 0.0; let uncertainty = self.config.error_model.displacement_std;
Ok(SyndromeMeasurement {
stabilizer_id: mode * 2 + usize::from(quadrature_type != QuadratureType::Position),
outcome: syndrome_value,
expected_value,
uncertainty,
})
}
async fn measure_coherent_state_stabilizers(
&self,
_amplitudes: &[Complex],
) -> DeviceResult<Vec<SyndromeMeasurement>> {
let logical_state = self
.logical_state
.as_ref()
.ok_or_else(|| DeviceError::InvalidInput("No logical state initialized".to_string()))?;
let mut measurements = Vec::new();
for mode in 0..logical_state.physical_modes.num_modes {
let config = CVDeviceConfig::default();
let mut temp_state = logical_state.physical_modes.clone();
let outcome = temp_state.heterodyne_measurement(mode, &config)?;
measurements.push(SyndromeMeasurement {
stabilizer_id: mode,
outcome: outcome.magnitude(),
expected_value: 1.0, uncertainty: self.config.error_model.displacement_std,
});
}
Ok(measurements)
}
pub async fn apply_correction(
&mut self,
syndrome: &CVSyndrome,
) -> DeviceResult<CorrectionResult> {
if self.logical_state.is_none() {
return Err(DeviceError::InvalidInput(
"No logical state to correct".to_string(),
));
}
println!(
"Applying error correction for syndrome {}",
syndrome.syndrome_id
);
let correction_operations = self.decode_syndrome(syndrome).await?;
let mut correction_success = true;
let mut applied_operations = 0;
for operation in &correction_operations {
match self.apply_correction_operation(operation).await {
Ok(()) => applied_operations += 1,
Err(_) => {
correction_success = false;
break;
}
}
}
let fidelity = if correction_success {
syndrome
.measurements
.iter()
.map(|m| (m.outcome - m.expected_value).abs())
.sum::<f64>()
.mul_add(-0.1, 0.95)
} else {
0.5
};
if correction_success {
self.correction_stats.successful_corrections += 1;
} else {
self.correction_stats.failed_corrections += 1;
}
let total_corrections =
self.correction_stats.successful_corrections + self.correction_stats.failed_corrections;
self.correction_stats.average_fidelity = self
.correction_stats
.average_fidelity
.mul_add((total_corrections - 1) as f64, fidelity)
/ total_corrections as f64;
Ok(CorrectionResult {
syndrome_id: syndrome.syndrome_id,
correction_operations,
success: correction_success,
fidelity,
applied_operations,
})
}
async fn decode_syndrome(
&self,
syndrome: &CVSyndrome,
) -> DeviceResult<Vec<CorrectionOperation>> {
match self.config.decoder_config.decoder_type {
CVDecoderType::MaximumLikelihood => self.ml_decode(syndrome).await,
CVDecoderType::MinimumDistance => self.minimum_distance_decode(syndrome).await,
_ => Err(DeviceError::UnsupportedOperation(
"Decoder type not implemented".to_string(),
)),
}
}
async fn ml_decode(&self, syndrome: &CVSyndrome) -> DeviceResult<Vec<CorrectionOperation>> {
let mut corrections = Vec::new();
for measurement in &syndrome.measurements {
let deviation = (measurement.outcome - measurement.expected_value).abs();
if deviation > self.config.syndrome_threshold {
let mode = measurement.stabilizer_id / 2;
let is_position = measurement.stabilizer_id % 2 == 0;
let correction_amplitude = if is_position {
Complex::new(-measurement.outcome, 0.0)
} else {
Complex::new(0.0, -measurement.outcome)
};
corrections.push(CorrectionOperation {
operation_type: CorrectionOperationType::Displacement {
mode,
amplitude: correction_amplitude,
},
confidence: measurement.uncertainty,
});
}
}
Ok(corrections)
}
async fn minimum_distance_decode(
&self,
syndrome: &CVSyndrome,
) -> DeviceResult<Vec<CorrectionOperation>> {
let mut corrections = Vec::new();
let mut min_distance = f64::INFINITY;
let mut best_correction = None;
for measurement in &syndrome.measurements {
let distance = (measurement.outcome - measurement.expected_value).abs();
if distance < min_distance && distance > self.config.syndrome_threshold {
min_distance = distance;
let mode = measurement.stabilizer_id / 2;
let is_position = measurement.stabilizer_id % 2 == 0;
let correction_amplitude = if is_position {
Complex::new(-measurement.outcome * 0.5, 0.0)
} else {
Complex::new(0.0, -measurement.outcome * 0.5)
};
best_correction = Some(CorrectionOperation {
operation_type: CorrectionOperationType::Displacement {
mode,
amplitude: correction_amplitude,
},
confidence: 1.0 / (1.0 + distance),
});
}
}
if let Some(correction) = best_correction {
corrections.push(correction);
}
Ok(corrections)
}
async fn apply_correction_operation(
&mut self,
operation: &CorrectionOperation,
) -> DeviceResult<()> {
if let Some(logical_state) = &mut self.logical_state {
match &operation.operation_type {
CorrectionOperationType::Displacement { mode, amplitude } => {
logical_state
.physical_modes
.apply_displacement(*mode, *amplitude)?;
}
CorrectionOperationType::Squeezing {
mode,
parameter,
phase,
} => {
logical_state
.physical_modes
.apply_squeezing(*mode, *parameter, *phase)?;
}
CorrectionOperationType::PhaseRotation { mode, phase } => {
logical_state
.physical_modes
.apply_phase_rotation(*mode, *phase)?;
}
}
}
Ok(())
}
pub const fn get_correction_statistics(&self) -> &CorrectionStatistics {
&self.correction_stats
}
pub const fn get_logical_state(&self) -> Option<&CVLogicalState> {
self.logical_state.as_ref()
}
pub fn get_syndrome_history(&self) -> &[CVSyndrome] {
&self.syndrome_history
}
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CorrectionOperation {
pub operation_type: CorrectionOperationType,
pub confidence: f64,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum CorrectionOperationType {
Displacement { mode: usize, amplitude: Complex },
Squeezing {
mode: usize,
parameter: f64,
phase: f64,
},
PhaseRotation { mode: usize, phase: f64 },
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct CorrectionResult {
pub syndrome_id: usize,
pub correction_operations: Vec<CorrectionOperation>,
pub success: bool,
pub fidelity: f64,
pub applied_operations: usize,
}
#[cfg(test)]
mod tests {
use super::*;
#[tokio::test]
async fn test_cv_error_corrector_creation() {
let config = CVErrorCorrectionConfig::default();
let corrector = CVErrorCorrector::new(config);
assert!(corrector.logical_state.is_none());
assert_eq!(corrector.syndrome_history.len(), 0);
}
#[tokio::test]
async fn test_gkp_state_initialization() {
let config = CVErrorCorrectionConfig::default();
let mut corrector = CVErrorCorrector::new(config);
let initial_state = GaussianState::vacuum_state(2);
let logical_state = corrector
.initialize_logical_state(initial_state)
.await
.expect("Logical state initialization should succeed");
assert_eq!(logical_state.physical_modes.num_modes, 2);
assert_eq!(logical_state.logical_info.len(), 1);
}
#[tokio::test]
async fn test_syndrome_measurement() {
let config = CVErrorCorrectionConfig::default();
let mut corrector = CVErrorCorrector::new(config);
let initial_state = GaussianState::vacuum_state(1);
corrector
.initialize_logical_state(initial_state)
.await
.expect("Logical state initialization should succeed");
let syndrome = corrector
.measure_syndrome()
.await
.expect("Syndrome measurement should succeed");
assert_eq!(syndrome.syndrome_id, 0);
assert!(!syndrome.measurements.is_empty());
assert_eq!(corrector.syndrome_history.len(), 1);
}
#[tokio::test]
async fn test_error_correction() {
let config = CVErrorCorrectionConfig::default();
let mut corrector = CVErrorCorrector::new(config);
let initial_state = GaussianState::vacuum_state(1);
corrector
.initialize_logical_state(initial_state)
.await
.expect("Logical state initialization should succeed");
let syndrome = corrector
.measure_syndrome()
.await
.expect("Syndrome measurement should succeed");
let result = corrector
.apply_correction(&syndrome)
.await
.expect("Error correction should succeed");
assert_eq!(result.syndrome_id, syndrome.syndrome_id);
assert!(result.fidelity >= 0.0 && result.fidelity <= 1.0);
}
#[test]
fn test_gkp_logical_operators() {
let config = CVErrorCorrectionConfig::default();
let corrector = CVErrorCorrector::new(config);
let operators = corrector.build_gkp_logical_operators(0, PI.sqrt());
assert_eq!(operators.logical_x.displacements.len(), 1);
assert_eq!(operators.logical_z.displacements.len(), 1);
assert_eq!(operators.logical_y.displacements.len(), 1);
}
#[test]
fn test_error_model_defaults() {
let error_model = CVErrorModel::default();
assert!(error_model.displacement_std > 0.0);
assert!(error_model.phase_std > 0.0);
assert!(error_model.loss_probability >= 0.0 && error_model.loss_probability <= 1.0);
assert!(error_model.detector_efficiency >= 0.0 && error_model.detector_efficiency <= 1.0);
}
#[test]
fn test_correction_statistics() {
let corrector = CVErrorCorrector::new(CVErrorCorrectionConfig::default());
let stats = corrector.get_correction_statistics();
assert_eq!(stats.total_syndromes, 0);
assert_eq!(stats.successful_corrections, 0);
assert_eq!(stats.failed_corrections, 0);
}
}