use crate::error::{QuantRS2Error, QuantRS2Result};
use scirs2_core::ndarray::{Array1, Array2};
use scirs2_core::Complex64;
use std::collections::HashMap;
#[derive(Debug, Clone, Copy, PartialEq)]
pub enum PhotonicGateType {
BeamSplitter { reflectivity: f64 },
PhaseShifter { phase: f64 },
MachZehnder { phase1: f64, phase2: f64 },
ControlledZ,
ControlledNot,
HongOuMandel,
PhotonNumber,
Homodyne { phase: f64 },
Heterodyne,
}
#[derive(Debug, Clone, Copy, PartialEq, Eq)]
pub enum PhotonicEncoding {
DualRail,
Polarization,
TimeBin,
Frequency,
ContinuousVariable,
}
#[derive(Debug, Clone)]
pub struct OpticalMode {
pub mode_id: usize,
pub fock_state: Array1<Complex64>,
pub max_photons: usize,
pub frequency: Option<f64>,
pub polarization: Option<String>,
}
impl OpticalMode {
pub fn vacuum(mode_id: usize, max_photons: usize) -> Self {
let mut fock_state = Array1::zeros(max_photons + 1);
fock_state[0] = Complex64::new(1.0, 0.0);
Self {
mode_id,
fock_state,
max_photons,
frequency: None,
polarization: None,
}
}
pub fn single_photon(mode_id: usize, max_photons: usize) -> Self {
let mut fock_state = Array1::zeros(max_photons + 1);
fock_state[1] = Complex64::new(1.0, 0.0);
Self {
mode_id,
fock_state,
max_photons,
frequency: None,
polarization: None,
}
}
pub fn coherent(mode_id: usize, max_photons: usize, alpha: Complex64) -> Self {
let mut fock_state = Array1::zeros(max_photons + 1);
let alpha_norm_sq = alpha.norm_sqr();
let prefactor = (-alpha_norm_sq / 2.0).exp();
let mut factorial = 1.0;
for n in 0..=max_photons {
if n > 0 {
factorial *= n as f64;
}
let coefficient = prefactor * alpha.powf(n as f64) / factorial.sqrt();
fock_state[n] = coefficient;
}
Self {
mode_id,
fock_state,
max_photons,
frequency: None,
polarization: None,
}
}
pub fn photon_number_expectation(&self) -> f64 {
let mut expectation = 0.0;
for n in 0..=self.max_photons {
expectation += (n as f64) * self.fock_state[n].norm_sqr();
}
expectation
}
pub fn photon_probability(&self, n: usize) -> f64 {
if n > self.max_photons {
0.0
} else {
self.fock_state[n].norm_sqr()
}
}
}
#[derive(Debug, Clone)]
pub struct PhotonicSystem {
pub num_modes: usize,
pub modes: Vec<OpticalMode>,
pub state: Option<Array1<Complex64>>,
pub max_photons_per_mode: usize,
pub max_total_photons: usize,
}
impl PhotonicSystem {
pub fn new(num_modes: usize, max_photons_per_mode: usize) -> Self {
let modes = (0..num_modes)
.map(|i| OpticalMode::vacuum(i, max_photons_per_mode))
.collect();
let max_total_photons = num_modes * max_photons_per_mode;
Self {
num_modes,
modes,
state: None,
max_photons_per_mode,
max_total_photons,
}
}
pub fn initialize_from_modes(&mut self) -> QuantRS2Result<()> {
let total_dim = (self.max_photons_per_mode + 1).pow(self.num_modes as u32);
let mut state = Array1::zeros(total_dim);
state[0] = Complex64::new(1.0, 0.0);
for (mode_idx, mode) in self.modes.iter().enumerate() {
let mut new_state = Array1::zeros(total_dim);
let mode_dim = self.max_photons_per_mode + 1;
for (state_idx, &litude) in state.iter().enumerate() {
if amplitude.norm() > 1e-12 {
for (n, &mode_amp) in mode.fock_state.iter().enumerate() {
if mode_amp.norm() > 1e-12 {
let new_idx = state_idx + n * mode_dim.pow(mode_idx as u32);
if new_idx < total_dim {
new_state[new_idx] += amplitude * mode_amp;
}
}
}
}
}
state = new_state;
}
self.state = Some(state);
Ok(())
}
pub fn apply_beam_splitter(
&mut self,
mode1: usize,
mode2: usize,
reflectivity: f64,
) -> QuantRS2Result<()> {
if mode1 >= self.num_modes || mode2 >= self.num_modes {
return Err(QuantRS2Error::InvalidInput(
"Mode index out of bounds".to_string(),
));
}
if mode1 == mode2 {
return Err(QuantRS2Error::InvalidInput(
"Cannot apply beam splitter to same mode".to_string(),
));
}
let r = reflectivity;
let t = (1.0 - r).sqrt();
let r_sqrt = r.sqrt();
let mode1_state = self.modes[mode1].fock_state.clone();
let mode2_state = self.modes[mode2].fock_state.clone();
let mut new_mode1_state = Array1::zeros(self.max_photons_per_mode + 1);
let mut new_mode2_state = Array1::zeros(self.max_photons_per_mode + 1);
for n in 0..=self.max_photons_per_mode {
new_mode1_state[n] = r_sqrt * mode1_state[n] + t * mode2_state[n];
new_mode2_state[n] = t * mode1_state[n] - r_sqrt * mode2_state[n];
}
self.modes[mode1].fock_state = new_mode1_state;
self.modes[mode2].fock_state = new_mode2_state;
self.initialize_from_modes()?;
Ok(())
}
pub fn apply_phase_shifter(&mut self, mode: usize, phase: f64) -> QuantRS2Result<()> {
if mode >= self.num_modes {
return Err(QuantRS2Error::InvalidInput(
"Mode index out of bounds".to_string(),
));
}
for n in 0..=self.max_photons_per_mode {
let phase_factor = Complex64::new(0.0, (n as f64) * phase).exp();
self.modes[mode].fock_state[n] *= phase_factor;
}
self.initialize_from_modes()?;
Ok(())
}
pub fn measure_photon_number(&mut self, mode: usize) -> QuantRS2Result<usize> {
if mode >= self.num_modes {
return Err(QuantRS2Error::InvalidInput(
"Mode index out of bounds".to_string(),
));
}
let probabilities: Vec<f64> = (0..=self.max_photons_per_mode)
.map(|n| self.modes[mode].photon_probability(n))
.collect();
use scirs2_core::random::prelude::*;
let mut rng = thread_rng();
let random_value: f64 = rng.random();
let mut cumulative = 0.0;
for (n, &prob) in probabilities.iter().enumerate() {
cumulative += prob;
if random_value <= cumulative {
let mut new_state = Array1::zeros(self.max_photons_per_mode + 1);
new_state[n] = Complex64::new(1.0, 0.0);
self.modes[mode].fock_state = new_state;
self.initialize_from_modes()?;
return Ok(n);
}
}
Ok(self.max_photons_per_mode)
}
pub fn homodyne_measurement(&mut self, mode: usize, phase: f64) -> QuantRS2Result<f64> {
if mode >= self.num_modes {
return Err(QuantRS2Error::InvalidInput(
"Mode index out of bounds".to_string(),
));
}
let expectation = self.quadrature_expectation(mode, phase)?;
use scirs2_core::random::prelude::*;
let mut rng = thread_rng();
let noise = rng.random_range(-0.1..0.1);
Ok(expectation + noise)
}
fn quadrature_expectation(&self, mode: usize, phase: f64) -> QuantRS2Result<f64> {
let photon_expectation = self.modes[mode].photon_number_expectation();
Ok(photon_expectation.sqrt() * phase.cos())
}
}
#[derive(Debug, Clone)]
pub struct PhotonicGate {
pub gate_type: PhotonicGateType,
pub target_modes: Vec<usize>,
pub parameters: HashMap<String, f64>,
}
impl PhotonicGate {
pub fn beam_splitter(mode1: usize, mode2: usize, reflectivity: f64) -> Self {
Self {
gate_type: PhotonicGateType::BeamSplitter { reflectivity },
target_modes: vec![mode1, mode2],
parameters: {
let mut params = HashMap::new();
params.insert("reflectivity".to_string(), reflectivity);
params
},
}
}
pub fn phase_shifter(mode: usize, phase: f64) -> Self {
Self {
gate_type: PhotonicGateType::PhaseShifter { phase },
target_modes: vec![mode],
parameters: {
let mut params = HashMap::new();
params.insert("phase".to_string(), phase);
params
},
}
}
pub fn mach_zehnder(mode1: usize, mode2: usize, phase1: f64, phase2: f64) -> Self {
Self {
gate_type: PhotonicGateType::MachZehnder { phase1, phase2 },
target_modes: vec![mode1, mode2],
parameters: {
let mut params = HashMap::new();
params.insert("phase1".to_string(), phase1);
params.insert("phase2".to_string(), phase2);
params
},
}
}
pub fn apply(&self, system: &mut PhotonicSystem) -> QuantRS2Result<()> {
match self.gate_type {
PhotonicGateType::BeamSplitter { reflectivity } => {
if self.target_modes.len() != 2 {
return Err(QuantRS2Error::InvalidInput(
"Beam splitter requires exactly 2 modes".to_string(),
));
}
system.apply_beam_splitter(self.target_modes[0], self.target_modes[1], reflectivity)
}
PhotonicGateType::PhaseShifter { phase } => {
if self.target_modes.len() != 1 {
return Err(QuantRS2Error::InvalidInput(
"Phase shifter requires exactly 1 mode".to_string(),
));
}
system.apply_phase_shifter(self.target_modes[0], phase)
}
PhotonicGateType::MachZehnder { phase1, phase2 } => {
if self.target_modes.len() != 2 {
return Err(QuantRS2Error::InvalidInput(
"Mach-Zehnder requires exactly 2 modes".to_string(),
));
}
system.apply_beam_splitter(self.target_modes[0], self.target_modes[1], 0.5)?;
system.apply_phase_shifter(self.target_modes[0], phase1)?;
system.apply_phase_shifter(self.target_modes[1], phase2)?;
system.apply_beam_splitter(self.target_modes[0], self.target_modes[1], 0.5)
}
PhotonicGateType::ControlledZ => {
if self.target_modes.len() != 2 {
return Err(QuantRS2Error::InvalidInput(
"Controlled-Z requires exactly 2 modes".to_string(),
));
}
system.apply_phase_shifter(self.target_modes[1], std::f64::consts::PI)
}
PhotonicGateType::ControlledNot => {
if self.target_modes.len() != 2 {
return Err(QuantRS2Error::InvalidInput(
"Controlled-NOT requires exactly 2 modes".to_string(),
));
}
system.apply_beam_splitter(self.target_modes[0], self.target_modes[1], 0.5)
}
_ => Err(QuantRS2Error::InvalidInput(
"Gate type not yet implemented".to_string(),
)),
}
}
}
#[derive(Debug, Clone)]
pub struct PhotonicCircuit {
pub num_modes: usize,
pub gates: Vec<PhotonicGate>,
pub max_photons_per_mode: usize,
}
impl PhotonicCircuit {
pub const fn new(num_modes: usize, max_photons_per_mode: usize) -> Self {
Self {
num_modes,
gates: Vec::new(),
max_photons_per_mode,
}
}
pub fn add_gate(&mut self, gate: PhotonicGate) -> QuantRS2Result<()> {
for &mode in &gate.target_modes {
if mode >= self.num_modes {
return Err(QuantRS2Error::InvalidInput(
"Gate target mode out of bounds".to_string(),
));
}
}
self.gates.push(gate);
Ok(())
}
pub fn execute(&self, system: &mut PhotonicSystem) -> QuantRS2Result<()> {
if system.num_modes != self.num_modes {
return Err(QuantRS2Error::InvalidInput(
"System and circuit mode count mismatch".to_string(),
));
}
for gate in &self.gates {
gate.apply(system)?;
}
Ok(())
}
pub fn optimize_linear_optics(&mut self) -> QuantRS2Result<()> {
let mut optimized_gates = Vec::new();
let mut i = 0;
while i < self.gates.len() {
let current_gate = &self.gates[i];
if let PhotonicGateType::PhaseShifter { phase } = current_gate.gate_type {
let mode = current_gate.target_modes[0];
let mut total_phase = phase;
let mut j = i + 1;
while j < self.gates.len() {
if let PhotonicGateType::PhaseShifter { phase: next_phase } =
self.gates[j].gate_type
{
if self.gates[j].target_modes[0] == mode {
total_phase += next_phase;
j += 1;
} else {
break;
}
} else {
break;
}
}
if (total_phase % (2.0 * std::f64::consts::PI)).abs() > 1e-10 {
optimized_gates.push(PhotonicGate::phase_shifter(mode, total_phase));
}
i = j;
} else {
optimized_gates.push(current_gate.clone());
i += 1;
}
}
self.gates = optimized_gates;
Ok(())
}
pub fn to_matrix(&self) -> QuantRS2Result<Array2<Complex64>> {
let dim = (self.max_photons_per_mode + 1).pow(self.num_modes as u32);
let mut matrix = Array2::eye(dim);
for gate in &self.gates {
let gate_matrix = self.gate_to_matrix(gate)?;
matrix = gate_matrix.dot(&matrix);
}
Ok(matrix)
}
fn gate_to_matrix(&self, gate: &PhotonicGate) -> QuantRS2Result<Array2<Complex64>> {
let dim = (self.max_photons_per_mode + 1).pow(self.num_modes as u32);
match gate.gate_type {
PhotonicGateType::PhaseShifter { phase } => {
let mut matrix = Array2::eye(dim);
let mode = gate.target_modes[0];
for i in 0..dim {
let photon_count = self.extract_photon_count(i, mode);
let phase_factor = Complex64::new(0.0, (photon_count as f64) * phase).exp();
matrix[[i, i]] = phase_factor;
}
Ok(matrix)
}
_ => {
Ok(Array2::eye(dim))
}
}
}
const fn extract_photon_count(&self, state_index: usize, mode: usize) -> usize {
let mode_dim = self.max_photons_per_mode + 1;
(state_index / mode_dim.pow(mode as u32)) % mode_dim
}
}
#[derive(Debug, Clone)]
pub struct PhotonicErrorCorrection {
pub physical_modes_per_logical: usize,
pub code_type: String,
pub syndrome_circuits: Vec<PhotonicCircuit>,
}
impl PhotonicErrorCorrection {
pub fn repetition_code(num_repetitions: usize) -> Self {
Self {
physical_modes_per_logical: num_repetitions,
code_type: "Repetition".to_string(),
syndrome_circuits: Vec::new(),
}
}
pub fn encode_logical_qubit(
&self,
logical_state: &[Complex64; 2],
system: &mut PhotonicSystem,
) -> QuantRS2Result<()> {
for i in 0..self.physical_modes_per_logical {
system.modes[i].fock_state[0] = logical_state[0];
system.modes[i].fock_state[1] = logical_state[1];
}
system.initialize_from_modes()?;
Ok(())
}
pub fn correct_errors(&self, system: &mut PhotonicSystem) -> QuantRS2Result<Vec<usize>> {
let mut corrections = Vec::new();
for i in 0..self.physical_modes_per_logical {
let photon_prob = system.modes[i].photon_probability(1);
if photon_prob > 0.5 {
corrections.push(i);
}
}
Ok(corrections)
}
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_optical_mode_creation() {
let vacuum = OpticalMode::vacuum(0, 5);
assert_eq!(vacuum.mode_id, 0);
assert_eq!(vacuum.max_photons, 5);
assert!((vacuum.fock_state[0] - Complex64::new(1.0, 0.0)).norm() < 1e-10);
assert!(vacuum.photon_number_expectation() < 1e-10);
let single_photon = OpticalMode::single_photon(1, 5);
assert!((single_photon.photon_number_expectation() - 1.0).abs() < 1e-10);
}
#[test]
fn test_coherent_state() {
let alpha = Complex64::new(1.0, 0.0);
let coherent = OpticalMode::coherent(0, 10, alpha);
assert!((coherent.photon_number_expectation() - 1.0).abs() < 0.1);
}
#[test]
fn test_photonic_system_initialization() {
let mut system = PhotonicSystem::new(3, 2);
assert_eq!(system.num_modes, 3);
assert_eq!(system.max_photons_per_mode, 2);
system
.initialize_from_modes()
.expect("Failed to initialize from modes");
assert!(system.state.is_some());
}
#[test]
fn test_beam_splitter() {
let mut system = PhotonicSystem::new(2, 3);
system.modes[0] = OpticalMode::single_photon(0, 3);
system
.initialize_from_modes()
.expect("Failed to initialize from modes");
system
.apply_beam_splitter(0, 1, 0.5)
.expect("Failed to apply beam splitter");
let prob0 = system.modes[0].photon_probability(1);
let prob1 = system.modes[1].photon_probability(1);
assert!(prob0 > 0.0);
assert!(prob1 > 0.0);
}
#[test]
fn test_phase_shifter() {
let mut system = PhotonicSystem::new(1, 3);
system.modes[0] = OpticalMode::single_photon(0, 3);
system
.initialize_from_modes()
.expect("Failed to initialize from modes");
let phase = std::f64::consts::PI / 2.0;
system
.apply_phase_shifter(0, phase)
.expect("Failed to apply phase shifter");
assert!((system.modes[0].photon_number_expectation() - 1.0).abs() < 1e-10);
let expected_phase = Complex64::new(0.0, phase).exp();
assert!((system.modes[0].fock_state[1] - expected_phase).norm() < 1e-10);
}
#[test]
fn test_photonic_gate_creation() {
let bs_gate = PhotonicGate::beam_splitter(0, 1, 0.3);
assert_eq!(bs_gate.target_modes, vec![0, 1]);
assert!((bs_gate.parameters["reflectivity"] - 0.3).abs() < 1e-10);
let ps_gate = PhotonicGate::phase_shifter(0, std::f64::consts::PI);
assert_eq!(ps_gate.target_modes, vec![0]);
assert!((ps_gate.parameters["phase"] - std::f64::consts::PI).abs() < 1e-10);
}
#[test]
fn test_photonic_circuit() {
let mut circuit = PhotonicCircuit::new(2, 2);
let bs_gate = PhotonicGate::beam_splitter(0, 1, 0.5);
let ps_gate = PhotonicGate::phase_shifter(0, std::f64::consts::PI / 4.0);
circuit
.add_gate(bs_gate)
.expect("Failed to add beam splitter gate");
circuit
.add_gate(ps_gate)
.expect("Failed to add phase shifter gate");
assert_eq!(circuit.gates.len(), 2);
let mut system = PhotonicSystem::new(2, 2);
circuit
.execute(&mut system)
.expect("Failed to execute circuit");
}
#[test]
fn test_mach_zehnder_interferometer() {
let mut system = PhotonicSystem::new(2, 2);
system.modes[0] = OpticalMode::single_photon(0, 2);
system
.initialize_from_modes()
.expect("Failed to initialize from modes");
let mz_gate = PhotonicGate::mach_zehnder(0, 1, 0.0, std::f64::consts::PI);
mz_gate
.apply(&mut system)
.expect("Failed to apply Mach-Zehnder gate");
let prob0 = system.modes[0].photon_probability(1);
let prob1 = system.modes[1].photon_probability(1);
assert!((prob0 + prob1 - 1.0).abs() < 1e-10);
}
#[test]
fn test_photon_number_measurement() {
let mut system = PhotonicSystem::new(1, 3);
system.modes[0] = OpticalMode::single_photon(0, 3);
system
.initialize_from_modes()
.expect("Failed to initialize from modes");
let measurement_result = system
.measure_photon_number(0)
.expect("Failed to measure photon number");
assert_eq!(measurement_result, 1);
assert!((system.modes[0].photon_probability(1) - 1.0).abs() < 1e-10);
}
#[test]
fn test_homodyne_measurement() {
let mut system = PhotonicSystem::new(1, 3);
let alpha = Complex64::new(2.0, 0.0);
system.modes[0] = OpticalMode::coherent(0, 3, alpha);
system
.initialize_from_modes()
.expect("Failed to initialize from modes");
let measurement_result = system
.homodyne_measurement(0, 0.0)
.expect("Failed homodyne measurement");
assert!(measurement_result.is_finite());
}
#[test]
fn test_circuit_optimization() {
let mut circuit = PhotonicCircuit::new(2, 2);
circuit
.add_gate(PhotonicGate::phase_shifter(0, std::f64::consts::PI / 4.0))
.expect("Failed to add first phase shifter");
circuit
.add_gate(PhotonicGate::phase_shifter(0, std::f64::consts::PI / 4.0))
.expect("Failed to add second phase shifter");
circuit
.add_gate(PhotonicGate::phase_shifter(0, std::f64::consts::PI / 2.0))
.expect("Failed to add third phase shifter");
assert_eq!(circuit.gates.len(), 3);
circuit
.optimize_linear_optics()
.expect("Failed to optimize linear optics");
assert_eq!(circuit.gates.len(), 1);
if let PhotonicGateType::PhaseShifter { phase } = circuit.gates[0].gate_type {
assert!((phase - std::f64::consts::PI).abs() < 1e-10);
}
}
#[test]
fn test_photonic_error_correction() {
let error_correction = PhotonicErrorCorrection::repetition_code(3);
assert_eq!(error_correction.physical_modes_per_logical, 3);
assert_eq!(error_correction.code_type, "Repetition");
let mut system = PhotonicSystem::new(3, 2);
let logical_state = [Complex64::new(1.0, 0.0), Complex64::new(0.0, 0.0)];
error_correction
.encode_logical_qubit(&logical_state, &mut system)
.expect("Failed to encode logical qubit");
let corrections = error_correction
.correct_errors(&mut system)
.expect("Failed to correct errors");
assert!(corrections.len() <= 3);
}
}