use serde::{Deserialize, Serialize};
use std::collections::HashMap;
use std::f64::consts::PI;
use thiserror::Error;
use super::{PhotonicMode, PhotonicSystemType};
use crate::DeviceResult;
use quantrs2_core::qubit::QubitId;
use scirs2_core::random::prelude::*;
#[derive(Error, Debug)]
pub enum PhotonicGateError {
#[error("Invalid qubit encoding: {0}")]
InvalidEncoding(String),
#[error("Polarization mismatch: {0}")]
PolarizationMismatch(String),
#[error("Path mode not found: {0}")]
PathModeNotFound(usize),
#[error("Insufficient photon resources: {0}")]
InsufficientPhotons(String),
#[error("Gate decomposition failed: {0}")]
GateDecompositionFailed(String),
}
type PhotonicGateResult<T> = Result<T, PhotonicGateError>;
#[derive(Debug, Clone, PartialEq, Serialize, Deserialize)]
pub enum PhotonicQubitEncoding {
Polarization,
Path { path0: usize, path1: usize },
TimeBin { early_time: f64, late_time: f64 },
Frequency { freq0: f64, freq1: f64 },
DualRail { rail0: usize, rail1: usize },
}
#[derive(Debug, Clone, Copy, PartialEq, Eq, Serialize, Deserialize)]
pub enum Polarization {
Horizontal,
Vertical,
Diagonal,
AntiDiagonal,
RightCircular,
LeftCircular,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct PhotonicQubitState {
pub encoding: PhotonicQubitEncoding,
pub amplitude_0: f64,
pub amplitude_1: f64,
pub relative_phase: f64,
pub global_phase: f64,
}
impl PhotonicQubitState {
pub const fn zero(encoding: PhotonicQubitEncoding) -> Self {
Self {
encoding,
amplitude_0: 1.0,
amplitude_1: 0.0,
relative_phase: 0.0,
global_phase: 0.0,
}
}
pub const fn one(encoding: PhotonicQubitEncoding) -> Self {
Self {
encoding,
amplitude_0: 0.0,
amplitude_1: 1.0,
relative_phase: 0.0,
global_phase: 0.0,
}
}
pub fn plus(encoding: PhotonicQubitEncoding) -> Self {
Self {
encoding,
amplitude_0: 1.0 / (2.0_f64).sqrt(),
amplitude_1: 1.0 / (2.0_f64).sqrt(),
relative_phase: 0.0,
global_phase: 0.0,
}
}
pub fn minus(encoding: PhotonicQubitEncoding) -> Self {
Self {
encoding,
amplitude_0: 1.0 / (2.0_f64).sqrt(),
amplitude_1: 1.0 / (2.0_f64).sqrt(),
relative_phase: PI,
global_phase: 0.0,
}
}
pub fn prob_zero(&self) -> f64 {
self.amplitude_0 * self.amplitude_0
}
pub fn prob_one(&self) -> f64 {
self.amplitude_1 * self.amplitude_1
}
pub fn pauli_x(&mut self) {
std::mem::swap(&mut self.amplitude_0, &mut self.amplitude_1);
self.relative_phase += PI;
}
pub fn pauli_y(&mut self) {
let old_amp_0 = self.amplitude_0;
self.amplitude_0 = self.amplitude_1;
self.amplitude_1 = -old_amp_0;
self.global_phase += PI / 2.0;
}
pub fn pauli_z(&mut self) {
self.relative_phase += PI;
}
pub fn hadamard(&mut self) {
let old_amp_0 = self.amplitude_0;
let old_amp_1 = self.amplitude_1;
let old_phase = self.relative_phase;
self.amplitude_0 = old_amp_1.mul_add(old_phase.cos(), old_amp_0) / (2.0_f64).sqrt();
self.amplitude_1 = old_amp_1.mul_add(-old_phase.cos(), old_amp_0) / (2.0_f64).sqrt();
self.relative_phase = if old_amp_1 * old_phase.sin() >= 0.0 {
0.0
} else {
PI
};
}
pub fn rx(&mut self, angle: f64) {
let cos_half = (angle / 2.0).cos();
let sin_half = (angle / 2.0).sin();
let old_amp_0 = self.amplitude_0;
let old_amp_1 = self.amplitude_1;
self.amplitude_0 = (cos_half * old_amp_0 + sin_half * old_amp_1).abs();
self.amplitude_1 = (sin_half * old_amp_0 + cos_half * old_amp_1).abs();
if angle.abs() > PI / 2.0 {
self.relative_phase += PI;
}
}
pub fn ry(&mut self, angle: f64) {
let cos_half = (angle / 2.0).cos();
let sin_half = (angle / 2.0).sin();
let old_amp_0 = self.amplitude_0;
let old_amp_1 = self.amplitude_1;
self.amplitude_0 = (cos_half * old_amp_0 - sin_half * old_amp_1).abs();
self.amplitude_1 = (sin_half * old_amp_0 + cos_half * old_amp_1).abs();
}
pub fn rz(&mut self, angle: f64) {
self.relative_phase += angle;
self.global_phase -= angle / 2.0;
}
pub fn phase(&mut self, angle: f64) {
self.relative_phase += angle;
}
}
pub struct PhotonicGates;
impl PhotonicGates {
pub fn polarization_x() -> PhotonicGateImpl {
PhotonicGateImpl {
gate_name: "PolarizationX".to_string(),
encoding_required: PhotonicQubitEncoding::Polarization,
optical_elements: vec![OpticalElement::HalfWaveplate { angle: PI / 2.0 }],
success_probability: 1.0,
fidelity: 0.995,
}
}
pub fn polarization_z() -> PhotonicGateImpl {
PhotonicGateImpl {
gate_name: "PolarizationZ".to_string(),
encoding_required: PhotonicQubitEncoding::Polarization,
optical_elements: vec![OpticalElement::PhaseShift { phase: PI }],
success_probability: 1.0,
fidelity: 0.999,
}
}
pub fn polarization_hadamard() -> PhotonicGateImpl {
PhotonicGateImpl {
gate_name: "PolarizationHadamard".to_string(),
encoding_required: PhotonicQubitEncoding::Polarization,
optical_elements: vec![OpticalElement::HalfWaveplate { angle: PI / 8.0 }],
success_probability: 1.0,
fidelity: 0.995,
}
}
pub fn dual_rail_cnot(
control_rails: (usize, usize),
target_rails: (usize, usize),
) -> PhotonicGateImpl {
PhotonicGateImpl {
gate_name: "DualRailCNOT".to_string(),
encoding_required: PhotonicQubitEncoding::DualRail {
rail0: control_rails.0,
rail1: control_rails.1,
},
optical_elements: vec![
OpticalElement::BeamSplitter {
transmittance: 0.5,
phase: 0.0,
input1: control_rails.1,
input2: target_rails.0,
},
OpticalElement::BeamSplitter {
transmittance: 0.5,
phase: 0.0,
input1: control_rails.1,
input2: target_rails.1,
},
],
success_probability: 0.25, fidelity: 0.90,
}
}
pub fn path_cz(
control_paths: (usize, usize),
target_paths: (usize, usize),
) -> PhotonicGateImpl {
PhotonicGateImpl {
gate_name: "PathCZ".to_string(),
encoding_required: PhotonicQubitEncoding::Path {
path0: control_paths.0,
path1: control_paths.1,
},
optical_elements: vec![OpticalElement::MachZehnderInterferometer {
path1: control_paths.1,
path2: target_paths.1,
phase_shift: PI,
}],
success_probability: 1.0,
fidelity: 0.98,
}
}
pub fn arbitrary_rotation(axis: RotationAxis, angle: f64) -> PhotonicGateImpl {
let elements = match axis {
RotationAxis::X => vec![OpticalElement::HalfWaveplate { angle: angle / 2.0 }],
RotationAxis::Y => vec![
OpticalElement::QuarterWaveplate,
OpticalElement::HalfWaveplate { angle: angle / 2.0 },
OpticalElement::QuarterWaveplate,
],
RotationAxis::Z => vec![OpticalElement::PhaseShift { phase: angle }],
};
PhotonicGateImpl {
gate_name: format!("R{axis:?}({angle:.3})"),
encoding_required: PhotonicQubitEncoding::Polarization,
optical_elements: elements,
success_probability: 1.0,
fidelity: 0.995,
}
}
}
#[derive(Debug, Clone, Copy)]
pub enum RotationAxis {
X,
Y,
Z,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub enum OpticalElement {
HalfWaveplate { angle: f64 },
QuarterWaveplate,
PhaseShift { phase: f64 },
BeamSplitter {
transmittance: f64,
phase: f64,
input1: usize,
input2: usize,
},
MachZehnderInterferometer {
path1: usize,
path2: usize,
phase_shift: f64,
},
PolarizingBeamSplitter { h_output: usize, v_output: usize },
PhotonDetector { mode: usize, efficiency: f64 },
ElectroOpticModulator { voltage: f64, response_time: f64 },
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct PhotonicGateImpl {
pub gate_name: String,
pub encoding_required: PhotonicQubitEncoding,
pub optical_elements: Vec<OpticalElement>,
pub success_probability: f64,
pub fidelity: f64,
}
impl PhotonicGateImpl {
pub fn apply(&self, state: &mut PhotonicQubitState) -> PhotonicGateResult<bool> {
if std::mem::discriminant(&state.encoding)
!= std::mem::discriminant(&self.encoding_required)
{
return Err(PhotonicGateError::InvalidEncoding(format!(
"Gate requires {:?}, but state uses {:?}",
self.encoding_required, state.encoding
)));
}
for element in &self.optical_elements {
self.apply_optical_element(element, state)?;
}
let success = thread_rng().random::<f64>() < self.success_probability;
Ok(success)
}
fn apply_optical_element(
&self,
element: &OpticalElement,
state: &mut PhotonicQubitState,
) -> PhotonicGateResult<()> {
match element {
OpticalElement::HalfWaveplate { angle } => {
match state.encoding {
PhotonicQubitEncoding::Polarization => {
state.rx(2.0 * angle);
}
_ => {
return Err(PhotonicGateError::InvalidEncoding(
"Half-wave plate requires polarization encoding".to_string(),
))
}
}
}
OpticalElement::QuarterWaveplate => {
match state.encoding {
PhotonicQubitEncoding::Polarization => {
state.phase(PI / 2.0);
}
_ => {
return Err(PhotonicGateError::InvalidEncoding(
"Quarter-wave plate requires polarization encoding".to_string(),
))
}
}
}
OpticalElement::PhaseShift { phase } => {
state.rz(*phase);
}
OpticalElement::BeamSplitter {
transmittance,
phase,
..
} => {
let cos_theta = transmittance.sqrt();
let sin_theta = (1.0 - transmittance).sqrt();
let old_amp_0 = state.amplitude_0;
let old_amp_1 = state.amplitude_1;
state.amplitude_0 = cos_theta
.mul_add(old_amp_0, sin_theta * old_amp_1 * phase.cos())
.abs();
state.amplitude_1 =
(sin_theta * old_amp_0 - cos_theta * old_amp_1 * phase.cos()).abs();
}
OpticalElement::MachZehnderInterferometer { phase_shift, .. } => {
state.relative_phase += phase_shift;
}
OpticalElement::PolarizingBeamSplitter { .. } => {
if state.prob_zero() > 0.5 {
state.amplitude_1 = 0.0;
state.amplitude_0 = 1.0;
} else {
state.amplitude_0 = 0.0;
state.amplitude_1 = 1.0;
}
}
OpticalElement::PhotonDetector { efficiency, .. } => {
if thread_rng().random::<f64>() > *efficiency {
return Err(PhotonicGateError::InsufficientPhotons(
"Photon detection failed".to_string(),
));
}
}
OpticalElement::ElectroOpticModulator { voltage, .. } => {
let phase_shift = voltage * 0.1; state.rz(phase_shift);
}
}
Ok(())
}
pub fn resource_requirements(&self) -> PhotonicResourceRequirements {
let mut requirements = PhotonicResourceRequirements::default();
for element in &self.optical_elements {
match element {
OpticalElement::HalfWaveplate { .. } | OpticalElement::QuarterWaveplate => {
requirements.waveplates += 1;
}
OpticalElement::BeamSplitter { .. } => {
requirements.beam_splitters += 1;
}
OpticalElement::PhotonDetector { .. } => {
requirements.detectors += 1;
}
OpticalElement::PolarizingBeamSplitter { .. } => {
requirements.polarizing_beam_splitters += 1;
}
OpticalElement::MachZehnderInterferometer { .. } => {
requirements.interferometers += 1;
}
OpticalElement::ElectroOpticModulator { .. } => {
requirements.modulators += 1;
}
OpticalElement::PhaseShift { .. } => {
requirements.phase_shifters += 1;
}
}
}
requirements
}
}
#[derive(Debug, Clone, Default, Serialize, Deserialize)]
pub struct PhotonicResourceRequirements {
pub waveplates: usize,
pub beam_splitters: usize,
pub detectors: usize,
pub polarizing_beam_splitters: usize,
pub interferometers: usize,
pub modulators: usize,
pub phase_shifters: usize,
}
pub struct PhotonicCircuitCompiler {
pub available_encodings: Vec<PhotonicQubitEncoding>,
pub hardware_constraints: PhotonicHardwareConstraints,
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct PhotonicHardwareConstraints {
pub max_modes: usize,
pub available_waveplates: usize,
pub available_beam_splitters: usize,
pub available_detectors: usize,
pub detector_efficiency: f64,
pub phase_stability: f64,
pub loss_rate: f64,
}
impl Default for PhotonicHardwareConstraints {
fn default() -> Self {
Self {
max_modes: 16,
available_waveplates: 8,
available_beam_splitters: 4,
available_detectors: 8,
detector_efficiency: 0.9,
phase_stability: 0.01,
loss_rate: 0.005,
}
}
}
impl PhotonicCircuitCompiler {
pub fn new(constraints: PhotonicHardwareConstraints) -> Self {
Self {
available_encodings: vec![
PhotonicQubitEncoding::Polarization,
PhotonicQubitEncoding::Path { path0: 0, path1: 1 },
PhotonicQubitEncoding::DualRail { rail0: 0, rail1: 1 },
],
hardware_constraints: constraints,
}
}
pub fn compile_gate_sequence(
&self,
gates: &[PhotonicGateImpl],
) -> PhotonicGateResult<PhotonicCircuitImplementation> {
let mut total_requirements = PhotonicResourceRequirements::default();
let mut success_probability = 1.0;
let mut total_fidelity = 1.0;
for gate in gates {
let requirements = gate.resource_requirements();
if total_requirements.waveplates + requirements.waveplates
> self.hardware_constraints.available_waveplates
{
return Err(PhotonicGateError::InsufficientPhotons(
"Not enough waveplates available".to_string(),
));
}
if total_requirements.beam_splitters + requirements.beam_splitters
> self.hardware_constraints.available_beam_splitters
{
return Err(PhotonicGateError::InsufficientPhotons(
"Not enough beam splitters available".to_string(),
));
}
total_requirements.waveplates += requirements.waveplates;
total_requirements.beam_splitters += requirements.beam_splitters;
total_requirements.detectors += requirements.detectors;
total_requirements.polarizing_beam_splitters += requirements.polarizing_beam_splitters;
total_requirements.interferometers += requirements.interferometers;
total_requirements.modulators += requirements.modulators;
total_requirements.phase_shifters += requirements.phase_shifters;
success_probability *= gate.success_probability;
total_fidelity *= gate.fidelity;
}
Ok(PhotonicCircuitImplementation {
gates: gates.to_vec(),
resource_requirements: total_requirements,
success_probability,
total_fidelity,
estimated_execution_time: std::time::Duration::from_millis(gates.len() as u64 * 10),
})
}
pub fn optimize_for_hardware(
&self,
implementation: &mut PhotonicCircuitImplementation,
) -> PhotonicGateResult<()> {
let mut optimized_gates = Vec::new();
let mut accumulated_phase = 0.0;
for gate in &implementation.gates {
if gate.optical_elements.len() == 1 {
if let OpticalElement::PhaseShift { phase } = &gate.optical_elements[0] {
accumulated_phase += phase;
continue;
}
}
if accumulated_phase.abs() > 1e-10 {
optimized_gates.push(PhotonicGateImpl {
gate_name: "CombinedPhase".to_string(),
encoding_required: PhotonicQubitEncoding::Polarization,
optical_elements: vec![OpticalElement::PhaseShift {
phase: accumulated_phase,
}],
success_probability: 1.0,
fidelity: 0.999,
});
accumulated_phase = 0.0;
}
optimized_gates.push(gate.clone());
}
if accumulated_phase.abs() > 1e-10 {
optimized_gates.push(PhotonicGateImpl {
gate_name: "FinalPhase".to_string(),
encoding_required: PhotonicQubitEncoding::Polarization,
optical_elements: vec![OpticalElement::PhaseShift {
phase: accumulated_phase,
}],
success_probability: 1.0,
fidelity: 0.999,
});
}
implementation.gates = optimized_gates;
Ok(())
}
}
#[derive(Debug, Clone, Serialize, Deserialize)]
pub struct PhotonicCircuitImplementation {
pub gates: Vec<PhotonicGateImpl>,
pub resource_requirements: PhotonicResourceRequirements,
pub success_probability: f64,
pub total_fidelity: f64,
pub estimated_execution_time: std::time::Duration,
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_photonic_qubit_states() {
let zero = PhotonicQubitState::zero(PhotonicQubitEncoding::Polarization);
assert_eq!(zero.prob_zero(), 1.0);
assert_eq!(zero.prob_one(), 0.0);
let one = PhotonicQubitState::one(PhotonicQubitEncoding::Polarization);
assert_eq!(one.prob_zero(), 0.0);
assert_eq!(one.prob_one(), 1.0);
let plus = PhotonicQubitState::plus(PhotonicQubitEncoding::Polarization);
assert!((plus.prob_zero() - 0.5).abs() < 1e-10);
assert!((plus.prob_one() - 0.5).abs() < 1e-10);
}
#[test]
fn test_pauli_gates() {
let mut state = PhotonicQubitState::zero(PhotonicQubitEncoding::Polarization);
state.pauli_x();
assert_eq!(state.prob_one(), 1.0);
state.pauli_x();
assert_eq!(state.prob_zero(), 1.0);
state.pauli_z();
assert_eq!(state.prob_zero(), 1.0); }
#[test]
fn test_hadamard_gate() {
let mut state = PhotonicQubitState::zero(PhotonicQubitEncoding::Polarization);
state.hadamard();
assert!((state.prob_zero() - 0.5).abs() < 1e-10);
assert!((state.prob_one() - 0.5).abs() < 1e-10);
state.hadamard();
assert!((state.prob_zero() - 1.0).abs() < 1e-10);
}
#[test]
fn test_photonic_gate_implementation() {
let x_gate = PhotonicGates::polarization_x();
let mut state = PhotonicQubitState::zero(PhotonicQubitEncoding::Polarization);
let success = x_gate
.apply(&mut state)
.expect("polarization X gate should apply successfully");
assert!(success);
assert!(state.prob_one() > 0.9); }
#[test]
fn test_resource_requirements() {
let hadamard_gate = PhotonicGates::polarization_hadamard();
let requirements = hadamard_gate.resource_requirements();
assert_eq!(requirements.waveplates, 1);
assert_eq!(requirements.beam_splitters, 0);
}
#[test]
fn test_circuit_compilation() {
let constraints = PhotonicHardwareConstraints::default();
let compiler = PhotonicCircuitCompiler::new(constraints);
let gates = vec![
PhotonicGates::polarization_hadamard(),
PhotonicGates::polarization_x(),
];
let implementation = compiler
.compile_gate_sequence(&gates)
.expect("gate sequence compilation should succeed");
assert_eq!(implementation.gates.len(), 2);
assert!(implementation.success_probability > 0.9);
}
#[test]
fn test_optimization() {
let constraints = PhotonicHardwareConstraints::default();
let compiler = PhotonicCircuitCompiler::new(constraints);
let gates = vec![
PhotonicGateImpl {
gate_name: "Phase1".to_string(),
encoding_required: PhotonicQubitEncoding::Polarization,
optical_elements: vec![OpticalElement::PhaseShift { phase: PI / 4.0 }],
success_probability: 1.0,
fidelity: 0.999,
},
PhotonicGateImpl {
gate_name: "Phase2".to_string(),
encoding_required: PhotonicQubitEncoding::Polarization,
optical_elements: vec![OpticalElement::PhaseShift { phase: PI / 4.0 }],
success_probability: 1.0,
fidelity: 0.999,
},
];
let mut implementation = compiler
.compile_gate_sequence(&gates)
.expect("gate sequence compilation should succeed");
let original_length = implementation.gates.len();
compiler
.optimize_for_hardware(&mut implementation)
.expect("hardware optimization should succeed");
assert!(implementation.gates.len() <= original_length);
}
}