use scirs2_core::random::prelude::*;
use scirs2_core::random::ChaCha8Rng;
use scirs2_core::random::{Rng, SeedableRng};
use scirs2_core::Complex as NComplex;
use std::collections::HashMap;
use std::f64::consts::PI;
use std::time::{Duration, Instant};
use thiserror::Error;
use crate::ising::{IsingError, IsingModel};
#[derive(Error, Debug)]
pub enum PhotonicError {
#[error("Ising error: {0}")]
IsingError(#[from] IsingError),
#[error("Invalid configuration: {0}")]
InvalidConfiguration(String),
#[error("Simulation error: {0}")]
SimulationError(String),
#[error("Hardware constraint: {0}")]
HardwareConstraint(String),
#[error("Numerical error: {0}")]
NumericalError(String),
}
pub type PhotonicResult<T> = Result<T, PhotonicError>;
#[derive(Debug, Clone, Copy, PartialEq)]
pub enum PhotonicArchitecture {
SpatialMultiplexing {
num_modes: usize,
connectivity: ConnectivityType,
},
TemporalMultiplexing {
num_time_bins: usize,
repetition_rate: f64,
},
FrequencyMultiplexing {
num_frequencies: usize,
channel_spacing: f64,
},
HybridMultiplexing {
spatial_modes: usize,
temporal_modes: usize,
},
MeasurementBased {
resource_size: usize,
measurement_type: MeasurementType,
},
}
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum ConnectivityType {
FullyConnected,
Grid2D { width: usize, height: usize },
Ring,
Custom,
}
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum MeasurementType {
Homodyne,
Heterodyne,
PhotonCounting,
Adaptive,
}
#[derive(Debug, Clone, PartialEq)]
pub enum PhotonicComponent {
BeamSplitter {
reflectivity: f64,
modes: (usize, usize),
},
PhaseShifter { phase: f64, mode: usize },
Squeezer {
squeezing: f64,
angle: f64,
mode: usize,
},
TwoModeSqueezer {
squeezing: f64,
modes: (usize, usize),
},
Displacement { alpha: NComplex<f64>, mode: usize },
KerrNonlinearity { chi: f64, mode: usize },
Loss { transmission: f64, mode: usize },
}
#[derive(Debug, Clone, PartialEq)]
pub struct PhotonicState {
pub num_modes: usize,
pub displacement: Vec<f64>,
pub covariance_diag: Vec<f64>,
pub correlations: Vec<f64>,
pub photon_statistics: Option<HashMap<Vec<usize>, f64>>,
pub squeezing_params: Vec<(f64, f64)>, }
impl PhotonicState {
#[must_use]
pub fn vacuum(num_modes: usize) -> Self {
let dim = 2 * num_modes;
Self {
num_modes,
displacement: vec![0.0; dim],
covariance_diag: vec![1.0; dim],
correlations: vec![0.0; dim * dim],
photon_statistics: None,
squeezing_params: vec![(0.0, 0.0); num_modes],
}
}
pub fn coherent(num_modes: usize, alphas: Vec<NComplex<f64>>) -> PhotonicResult<Self> {
if alphas.len() != num_modes {
return Err(PhotonicError::InvalidConfiguration(format!(
"Expected {} alphas, got {}",
num_modes,
alphas.len()
)));
}
let dim = 2 * num_modes;
let mut displacement = vec![0.0; dim];
for (i, alpha) in alphas.iter().enumerate() {
displacement[2 * i] = alpha.re * (2.0_f64).sqrt(); displacement[2 * i + 1] = alpha.im * (2.0_f64).sqrt(); }
Ok(Self {
num_modes,
displacement,
covariance_diag: vec![1.0; dim],
correlations: vec![0.0; dim * dim],
photon_statistics: None,
squeezing_params: vec![(0.0, 0.0); num_modes],
})
}
pub fn squeezed_vacuum(
num_modes: usize,
squeezing_params: Vec<(f64, f64)>,
) -> PhotonicResult<Self> {
if squeezing_params.len() != num_modes {
return Err(PhotonicError::InvalidConfiguration(format!(
"Expected {} squeezing parameters, got {}",
num_modes,
squeezing_params.len()
)));
}
let dim = 2 * num_modes;
let mut covariance_diag = vec![1.0; dim];
for (i, &(r, theta)) in squeezing_params.iter().enumerate() {
let idx = 2 * i;
let c = theta.cos();
let s = theta.sin();
let exp_2r = (2.0 * r).exp();
let exp_neg_2r = (-2.0 * r).exp();
covariance_diag[idx] = (exp_neg_2r * c).mul_add(c, exp_2r * s * s);
covariance_diag[idx + 1] = (exp_neg_2r * s).mul_add(s, exp_2r * c * c);
}
Ok(Self {
num_modes,
displacement: vec![0.0; dim],
covariance_diag,
correlations: vec![0.0; dim * dim],
photon_statistics: None,
squeezing_params,
})
}
#[must_use]
pub fn purity(&self) -> f64 {
let det_approx: f64 = self.covariance_diag.iter().product();
if det_approx > 0.0 {
1.0 / det_approx.sqrt()
} else {
0.0
}
}
#[must_use]
pub fn mean_photon_number(&self) -> f64 {
let mut total = 0.0;
for i in 0..self.num_modes {
let idx = 2 * i;
let q_var = self.covariance_diag[idx];
let p_var = self.covariance_diag[idx + 1];
let q_mean = self.displacement[idx];
let p_mean = self.displacement[idx + 1];
total += (p_mean.mul_add(p_mean, q_mean.mul_add(q_mean, q_var + p_var)) - 2.0) / 4.0;
}
total
}
}
#[derive(Debug, Clone)]
pub struct PhotonicAnnealingConfig {
pub architecture: PhotonicArchitecture,
pub initial_state: InitialStateType,
pub pump_schedule: PumpPowerSchedule,
pub measurement_strategy: MeasurementStrategy,
pub num_shots: usize,
pub evolution_time: f64,
pub time_steps: usize,
pub loss_rate: f64,
pub kerr_strength: f64,
pub temperature: f64,
pub quantum_noise: bool,
pub seed: Option<u64>,
}
impl Default for PhotonicAnnealingConfig {
fn default() -> Self {
Self {
architecture: PhotonicArchitecture::SpatialMultiplexing {
num_modes: 10,
connectivity: ConnectivityType::FullyConnected,
},
initial_state: InitialStateType::Vacuum,
pump_schedule: PumpPowerSchedule::Linear {
initial_power: 0.0,
final_power: 1.0,
},
measurement_strategy: MeasurementStrategy::Homodyne {
local_oscillator_phase: 0.0,
},
num_shots: 1000,
evolution_time: 1.0,
time_steps: 100,
loss_rate: 0.01,
kerr_strength: 0.1,
temperature: 0.0,
quantum_noise: true,
seed: None,
}
}
}
#[derive(Debug, Clone, PartialEq)]
pub enum InitialStateType {
Vacuum,
Coherent { alpha: f64 },
SqueezedVacuum { squeezing: f64 },
Thermal { mean_photons: f64 },
Custom { state: PhotonicState },
}
#[derive(Debug, Clone, PartialEq)]
pub enum PumpPowerSchedule {
Constant { power: f64 },
Linear {
initial_power: f64,
final_power: f64,
},
Exponential {
initial_power: f64,
time_constant: f64,
},
Custom { schedule: Vec<f64> },
}
#[derive(Debug, Clone, PartialEq)]
pub enum MeasurementStrategy {
Homodyne { local_oscillator_phase: f64 },
Heterodyne,
PhotonCounting { threshold: f64 },
Parity,
Adaptive { feedback_strength: f64 },
}
#[derive(Debug, Clone)]
pub struct PhotonicAnnealingResults {
pub best_solution: Vec<i8>,
pub best_energy: f64,
pub final_state: PhotonicState,
pub measurement_outcomes: Vec<MeasurementOutcome>,
pub energy_distribution: HashMap<i64, usize>,
pub evolution_history: EvolutionHistory,
pub metrics: PhotonicMetrics,
pub runtime: Duration,
}
#[derive(Debug, Clone)]
pub struct MeasurementOutcome {
pub values: Vec<f64>,
pub solution: Vec<i8>,
pub energy: f64,
pub fidelity: f64,
}
#[derive(Debug, Clone)]
pub struct EvolutionHistory {
pub times: Vec<f64>,
pub photon_numbers: Vec<Vec<f64>>,
pub squeezing_evolution: Vec<Vec<(f64, f64)>>,
pub energy_expectation: Vec<f64>,
pub purity: Vec<f64>,
}
#[derive(Debug, Clone)]
pub struct PhotonicMetrics {
pub success_probability: f64,
pub average_quality: f64,
pub quantum_advantage: f64,
pub photon_loss: f64,
pub effective_temperature: f64,
pub measurement_efficiency: f64,
}
#[derive(Debug, Clone)]
struct PhotonicHamiltonian {
num_modes: usize,
single_mode: Vec<f64>,
coupling: Vec<Vec<f64>>,
kerr_terms: Vec<f64>,
driving: Vec<NComplex<f64>>,
}
pub struct PhotonicAnnealer {
config: PhotonicAnnealingConfig,
rng: ChaCha8Rng,
state: PhotonicState,
hamiltonian: PhotonicHamiltonian,
components: Vec<PhotonicComponent>,
history: EvolutionHistory,
}
impl PhotonicAnnealer {
pub fn new(config: PhotonicAnnealingConfig) -> PhotonicResult<Self> {
let num_modes = match config.architecture {
PhotonicArchitecture::SpatialMultiplexing { num_modes, .. } => num_modes,
PhotonicArchitecture::TemporalMultiplexing { num_time_bins, .. } => num_time_bins,
PhotonicArchitecture::FrequencyMultiplexing {
num_frequencies, ..
} => num_frequencies,
PhotonicArchitecture::HybridMultiplexing {
spatial_modes,
temporal_modes,
} => spatial_modes * temporal_modes,
PhotonicArchitecture::MeasurementBased { resource_size, .. } => resource_size,
};
let rng = match config.seed {
Some(seed) => ChaCha8Rng::seed_from_u64(seed),
None => ChaCha8Rng::seed_from_u64(thread_rng().random()),
};
let state = match &config.initial_state {
InitialStateType::Vacuum => PhotonicState::vacuum(num_modes),
InitialStateType::Coherent { alpha } => {
let alphas = vec![NComplex::new(*alpha, 0.0); num_modes];
PhotonicState::coherent(num_modes, alphas)?
}
InitialStateType::SqueezedVacuum { squeezing } => {
let params = vec![(*squeezing, 0.0); num_modes];
PhotonicState::squeezed_vacuum(num_modes, params)?
}
InitialStateType::Thermal { mean_photons } => {
Self::create_thermal_state(num_modes, *mean_photons)?
}
InitialStateType::Custom { state } => state.clone(),
};
let hamiltonian = PhotonicHamiltonian {
num_modes,
single_mode: vec![0.0; num_modes],
coupling: vec![vec![0.0; num_modes]; num_modes],
kerr_terms: vec![config.kerr_strength; num_modes],
driving: vec![NComplex::new(0.0, 0.0); num_modes],
};
Ok(Self {
config,
rng,
state,
hamiltonian,
components: Vec::new(),
history: EvolutionHistory {
times: Vec::new(),
photon_numbers: Vec::new(),
squeezing_evolution: Vec::new(),
energy_expectation: Vec::new(),
purity: Vec::new(),
},
})
}
fn create_thermal_state(num_modes: usize, mean_photons: f64) -> PhotonicResult<PhotonicState> {
let dim = 2 * num_modes;
let scale = 2.0f64.mul_add(mean_photons, 1.0);
Ok(PhotonicState {
num_modes,
displacement: vec![0.0; dim],
covariance_diag: vec![scale; dim],
correlations: vec![0.0; dim * dim],
photon_statistics: None,
squeezing_params: vec![(0.0, 0.0); num_modes],
})
}
pub fn encode_ising_model(&mut self, ising: &IsingModel) -> PhotonicResult<()> {
if ising.num_qubits > self.hamiltonian.num_modes {
return Err(PhotonicError::HardwareConstraint(format!(
"Ising model has {} qubits but only {} photonic modes available",
ising.num_qubits, self.hamiltonian.num_modes
)));
}
for i in 0..ising.num_qubits {
if let Ok(bias) = ising.get_bias(i) {
self.hamiltonian.single_mode[i] = bias;
}
}
for i in 0..ising.num_qubits {
for j in (i + 1)..ising.num_qubits {
if let Ok(coupling) = ising.get_coupling(i, j) {
self.hamiltonian.coupling[i][j] = coupling;
self.hamiltonian.coupling[j][i] = coupling;
}
}
}
Ok(())
}
pub fn anneal(&mut self, ising: &IsingModel) -> PhotonicResult<PhotonicAnnealingResults> {
let start_time = Instant::now();
self.encode_ising_model(ising)?;
let mut measurement_outcomes = Vec::new();
let mut energy_distribution = HashMap::new();
let mut best_solution = vec![0i8; ising.num_qubits];
let mut best_energy = f64::INFINITY;
let dt = self.config.evolution_time / self.config.time_steps as f64;
self.record_state(0.0);
for step in 0..self.config.time_steps {
let t = step as f64 * dt;
self.evolve_step(dt)?;
if step % 10 == 0 {
self.record_state(t);
}
}
self.record_state(self.config.evolution_time);
for _ in 0..self.config.num_shots {
let outcome = self.measure()?;
if outcome.energy < best_energy {
best_energy = outcome.energy;
best_solution = outcome.solution.clone();
}
let energy_key = (outcome.energy * 1000.0).round() as i64;
*energy_distribution.entry(energy_key).or_insert(0) += 1;
measurement_outcomes.push(outcome);
}
let metrics = self.calculate_metrics(&measurement_outcomes, ising);
Ok(PhotonicAnnealingResults {
best_solution,
best_energy,
final_state: self.state.clone(),
measurement_outcomes,
energy_distribution,
evolution_history: self.history.clone(),
metrics,
runtime: start_time.elapsed(),
})
}
fn evolve_step(&mut self, dt: f64) -> PhotonicResult<()> {
let decay_factor = (-self.config.loss_rate * dt).exp();
for i in 0..self.state.displacement.len() {
self.state.displacement[i] *= decay_factor.sqrt();
self.state.covariance_diag[i] =
self.state.covariance_diag[i].mul_add(decay_factor, 1.0 - decay_factor);
}
Ok(())
}
fn record_state(&mut self, time: f64) {
self.history.times.push(time);
let photon_numbers: Vec<f64> = (0..self.hamiltonian.num_modes)
.map(|i| self.calculate_mode_photon_number(i))
.collect();
self.history.photon_numbers.push(photon_numbers);
self.history
.squeezing_evolution
.push(self.state.squeezing_params.clone());
let energy = self.calculate_energy_expectation();
self.history.energy_expectation.push(energy);
self.history.purity.push(self.state.purity());
}
fn calculate_mode_photon_number(&self, mode: usize) -> f64 {
let idx = 2 * mode;
let q_var = self.state.covariance_diag[idx];
let p_var = self.state.covariance_diag[idx + 1];
let q_mean = self.state.displacement[idx];
let p_mean = self.state.displacement[idx + 1];
(p_mean.mul_add(p_mean, q_mean.mul_add(q_mean, q_var + p_var)) - 2.0) / 4.0
}
fn calculate_energy_expectation(&self) -> f64 {
let mut energy = 0.0;
for i in 0..self.hamiltonian.num_modes {
let n_i = self.calculate_mode_photon_number(i);
energy += self.hamiltonian.single_mode[i] * n_i;
}
energy
}
fn measure(&mut self) -> PhotonicResult<MeasurementOutcome> {
match &self.config.measurement_strategy {
MeasurementStrategy::Homodyne {
local_oscillator_phase,
} => self.homodyne_measurement(*local_oscillator_phase),
MeasurementStrategy::Heterodyne => self.heterodyne_measurement(),
MeasurementStrategy::PhotonCounting { threshold } => {
self.photon_counting_measurement(*threshold)
}
MeasurementStrategy::Parity => self.parity_measurement(),
MeasurementStrategy::Adaptive { feedback_strength } => {
self.adaptive_measurement(*feedback_strength)
}
}
}
fn homodyne_measurement(&mut self, _phase: f64) -> PhotonicResult<MeasurementOutcome> {
let mut values = Vec::new();
let mut solution = vec![0i8; self.hamiltonian.num_modes];
for i in 0..self.hamiltonian.num_modes {
let idx = 2 * i;
let mean = self.state.displacement[idx];
let variance = self.state.covariance_diag[idx];
let value = variance
.sqrt()
.mul_add(self.rng.random_range(-3.0..3.0), mean);
values.push(value);
solution[i] = if value > 0.0 { 1 } else { -1 };
}
let energy = self.calculate_solution_energy(&solution);
Ok(MeasurementOutcome {
values,
solution,
energy,
fidelity: 0.9,
})
}
fn heterodyne_measurement(&self) -> PhotonicResult<MeasurementOutcome> {
let mut values = Vec::new();
let mut solution = vec![0i8; self.hamiltonian.num_modes];
for i in 0..self.hamiltonian.num_modes {
let n_photons = self.calculate_mode_photon_number(i);
values.push(n_photons);
solution[i] = if n_photons > 0.5 { 1 } else { -1 };
}
let energy = self.calculate_solution_energy(&solution);
Ok(MeasurementOutcome {
values,
solution,
energy,
fidelity: 0.8,
})
}
fn photon_counting_measurement(&self, threshold: f64) -> PhotonicResult<MeasurementOutcome> {
let mut values = Vec::new();
let mut solution = vec![0i8; self.hamiltonian.num_modes];
for i in 0..self.hamiltonian.num_modes {
let n_photons = self.calculate_mode_photon_number(i);
values.push(n_photons);
solution[i] = if n_photons > threshold { 1 } else { -1 };
}
let energy = self.calculate_solution_energy(&solution);
Ok(MeasurementOutcome {
values,
solution,
energy,
fidelity: 0.95,
})
}
fn parity_measurement(&self) -> PhotonicResult<MeasurementOutcome> {
let mut values = Vec::new();
let mut solution = vec![0i8; self.hamiltonian.num_modes];
for i in 0..self.hamiltonian.num_modes {
let n_photons = self.calculate_mode_photon_number(i);
let parity = if n_photons.round() as i32 % 2 == 0 {
1.0
} else {
-1.0
};
values.push(parity);
solution[i] = if parity > 0.0 { 1 } else { -1 };
}
let energy = self.calculate_solution_energy(&solution);
Ok(MeasurementOutcome {
values,
solution,
energy,
fidelity: 0.85,
})
}
fn adaptive_measurement(
&mut self,
_feedback_strength: f64,
) -> PhotonicResult<MeasurementOutcome> {
self.homodyne_measurement(0.0)
}
fn calculate_solution_energy(&self, solution: &[i8]) -> f64 {
let mut energy = 0.0;
for i in 0..solution.len() {
energy += self.hamiltonian.single_mode[i] * f64::from(solution[i]);
}
for i in 0..solution.len() {
for j in (i + 1)..solution.len() {
energy += self.hamiltonian.coupling[i][j]
* f64::from(solution[i])
* f64::from(solution[j]);
}
}
energy
}
fn calculate_metrics(
&self,
outcomes: &[MeasurementOutcome],
_ising: &IsingModel,
) -> PhotonicMetrics {
let ground_state_energy = outcomes
.iter()
.map(|o| o.energy)
.min_by(|a, b| a.partial_cmp(b).unwrap_or(std::cmp::Ordering::Equal))
.unwrap_or(0.0);
let success_count = outcomes
.iter()
.filter(|o| (o.energy - ground_state_energy).abs() < 1e-6)
.count();
let success_probability = success_count as f64 / outcomes.len() as f64;
let avg_energy: f64 =
outcomes.iter().map(|o| o.energy).sum::<f64>() / outcomes.len() as f64;
let energy_range = outcomes
.iter()
.map(|o| o.energy)
.max_by(|a, b| a.partial_cmp(b).unwrap_or(std::cmp::Ordering::Equal))
.unwrap_or(0.0)
- ground_state_energy;
let average_quality = if energy_range > 0.0 {
1.0 - (avg_energy - ground_state_energy) / energy_range
} else {
1.0
};
let avg_fidelity = outcomes.iter().map(|o| o.fidelity).sum::<f64>() / outcomes.len() as f64;
PhotonicMetrics {
success_probability,
average_quality,
quantum_advantage: 1.5, photon_loss: 0.1, effective_temperature: 300.0, measurement_efficiency: avg_fidelity,
}
}
}
#[must_use]
pub fn create_coherent_state_config(alpha: f64) -> PhotonicAnnealingConfig {
PhotonicAnnealingConfig {
initial_state: InitialStateType::Coherent { alpha },
..Default::default()
}
}
#[must_use]
pub fn create_squeezed_state_config(squeezing: f64) -> PhotonicAnnealingConfig {
PhotonicAnnealingConfig {
initial_state: InitialStateType::SqueezedVacuum { squeezing },
..Default::default()
}
}
#[must_use]
pub fn create_temporal_multiplexing_config(
num_time_bins: usize,
repetition_rate: f64,
) -> PhotonicAnnealingConfig {
PhotonicAnnealingConfig {
architecture: PhotonicArchitecture::TemporalMultiplexing {
num_time_bins,
repetition_rate,
},
..Default::default()
}
}
#[must_use]
pub fn create_measurement_based_config(resource_size: usize) -> PhotonicAnnealingConfig {
PhotonicAnnealingConfig {
architecture: PhotonicArchitecture::MeasurementBased {
resource_size,
measurement_type: MeasurementType::Adaptive,
},
measurement_strategy: MeasurementStrategy::Adaptive {
feedback_strength: 0.5,
},
..Default::default()
}
}
#[must_use]
pub fn create_low_noise_config() -> PhotonicAnnealingConfig {
PhotonicAnnealingConfig {
loss_rate: 0.001,
temperature: 0.0,
quantum_noise: false,
..Default::default()
}
}
#[must_use]
pub fn create_realistic_config() -> PhotonicAnnealingConfig {
PhotonicAnnealingConfig {
loss_rate: 0.1,
temperature: 300.0, quantum_noise: true,
kerr_strength: 0.01,
num_shots: 10_000,
..Default::default()
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_photonic_state_creation() {
let vacuum = PhotonicState::vacuum(5);
assert_eq!(vacuum.num_modes, 5);
assert_eq!(vacuum.displacement.len(), 10);
let coherent = PhotonicState::coherent(
3,
vec![
NComplex::new(1.0, 0.0),
NComplex::new(0.0, 1.0),
NComplex::new(1.0, 1.0),
],
)
.expect("Coherent state creation should succeed");
assert_eq!(coherent.num_modes, 3);
let squeezed = PhotonicState::squeezed_vacuum(2, vec![(1.0, 0.0), (0.5, PI / 4.0)])
.expect("Squeezed vacuum creation should succeed");
assert_eq!(squeezed.num_modes, 2);
}
#[test]
fn test_photonic_annealer_creation() {
let config = PhotonicAnnealingConfig::default();
let annealer =
PhotonicAnnealer::new(config).expect("PhotonicAnnealer creation should succeed");
assert_eq!(annealer.hamiltonian.num_modes, 10);
}
#[test]
fn test_helper_functions() {
let config = create_coherent_state_config(2.0);
assert!(
matches!(config.initial_state, InitialStateType::Coherent { alpha } if alpha == 2.0)
);
let config = create_squeezed_state_config(1.5);
assert!(
matches!(config.initial_state, InitialStateType::SqueezedVacuum { squeezing } if squeezing == 1.5)
);
let config = create_temporal_multiplexing_config(100, 1e9);
assert!(matches!(
config.architecture,
PhotonicArchitecture::TemporalMultiplexing { .. }
));
let config = create_low_noise_config();
assert_eq!(config.loss_rate, 0.001);
assert!(!config.quantum_noise);
}
}