use scirs2_core::random::prelude::*;
use scirs2_core::random::ChaCha8Rng;
use scirs2_core::random::{Rng, SeedableRng};
use scirs2_core::Complex64;
use scirs2_core::RngExt;
use std::time::{Duration, Instant};
use super::error::{AdvancedQuantumError, AdvancedQuantumResult};
use super::utils::Complex;
use crate::ising::IsingModel;
use crate::qaoa::QuantumState;
use crate::simulator::{AnnealingResult, AnnealingSolution};
#[derive(Debug, Clone)]
pub struct QuantumZenoAnnealer {
pub config: ZenoConfig,
pub measurement_history: Vec<ZenoMeasurement>,
pub evolution_controller: ZenoEvolutionController,
pub performance_metrics: ZenoPerformanceMetrics,
}
#[derive(Debug, Clone)]
pub struct ZenoConfig {
pub measurement_frequency: f64,
pub measurement_strength: f64,
pub subspace_projection: ZenoSubspaceProjection,
pub evolution_time_step: f64,
pub total_evolution_time: f64,
pub adaptive_strategy: ZenoAdaptiveStrategy,
pub decoherence_model: DecoherenceModel,
}
impl Default for ZenoConfig {
fn default() -> Self {
Self {
measurement_frequency: 1.0,
measurement_strength: 1.0,
subspace_projection: ZenoSubspaceProjection::Adaptive,
evolution_time_step: 0.1,
total_evolution_time: 10.0,
adaptive_strategy: ZenoAdaptiveStrategy::PerformanceBased,
decoherence_model: DecoherenceModel::default(),
}
}
}
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum ZenoSubspaceProjection {
Strong,
Weak,
Adaptive,
Continuous,
}
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum ZenoAdaptiveStrategy {
Fixed,
PerformanceBased,
LandscapeGuided,
QuantumFisherGuided,
}
#[derive(Debug, Clone)]
pub struct DecoherenceModel {
pub dephasing_rate: f64,
pub relaxation_rate: f64,
pub environment_coupling: f64,
pub temperature: f64,
pub correlation_time: f64,
}
impl Default for DecoherenceModel {
fn default() -> Self {
Self {
dephasing_rate: 0.01,
relaxation_rate: 0.005,
environment_coupling: 0.1,
temperature: 0.01,
correlation_time: 1.0,
}
}
}
#[derive(Debug, Clone)]
pub struct ZenoMeasurement {
pub time: f64,
pub observable_value: f64,
pub outcome_probabilities: Vec<f64>,
pub post_measurement_state: QuantumState,
pub uncertainty: f64,
}
#[derive(Debug, Clone)]
pub struct ZenoEvolutionController {
pub current_time: f64,
pub evolution_operator: EvolutionOperator,
pub measurement_schedule: Vec<f64>,
pub control_parameters: ZenoControlParameters,
}
#[derive(Debug, Clone)]
pub struct EvolutionOperator {
pub hamiltonian_components: Vec<HamiltonianComponent>,
pub time_coefficients: Vec<TimeCoefficient>,
pub approximation_method: OperatorApproximation,
}
#[derive(Debug, Clone)]
pub struct HamiltonianComponent {
pub pauli_string: String,
pub coefficient: f64,
pub qubit_indices: Vec<usize>,
}
#[derive(Debug, Clone)]
pub struct TimeCoefficient {
pub function_type: TimeFunctionType,
pub parameters: Vec<f64>,
pub time_domain: (f64, f64),
}
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum TimeFunctionType {
Constant,
Linear,
Exponential,
Sinusoidal,
Polynomial,
Custom(String),
}
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum OperatorApproximation {
Trotter,
Suzuki,
Magnus,
Floquet,
Krylov,
}
#[derive(Debug, Clone)]
pub struct ZenoControlParameters {
pub adaptation_rate: f64,
pub feedback_gain: f64,
pub stability_threshold: f64,
pub performance_target: f64,
}
#[derive(Debug, Clone)]
pub struct ZenoPerformanceMetrics {
pub final_energy: f64,
pub convergence_time: Duration,
pub num_measurements: usize,
pub avg_measurement_time: Duration,
pub zeno_efficiency: f64,
pub state_fidelity: f64,
}
impl QuantumZenoAnnealer {
#[must_use]
pub const fn new(config: ZenoConfig) -> Self {
Self {
config,
measurement_history: Vec::new(),
evolution_controller: ZenoEvolutionController {
current_time: 0.0,
evolution_operator: EvolutionOperator {
hamiltonian_components: Vec::new(),
time_coefficients: Vec::new(),
approximation_method: OperatorApproximation::Trotter,
},
measurement_schedule: Vec::new(),
control_parameters: ZenoControlParameters {
adaptation_rate: 0.1,
feedback_gain: 1.0,
stability_threshold: 0.01,
performance_target: 0.9,
},
},
performance_metrics: ZenoPerformanceMetrics {
final_energy: f64::INFINITY,
convergence_time: Duration::from_secs(0),
num_measurements: 0,
avg_measurement_time: Duration::from_millis(0),
zeno_efficiency: 0.0,
state_fidelity: 0.0,
},
}
}
pub fn solve<P>(&mut self, problem: &P) -> AdvancedQuantumResult<AnnealingResult<Vec<i32>>>
where
P: Clone + 'static,
{
if let Ok(ising_problem) = self.convert_to_ising(problem) {
let solution = self.anneal(&ising_problem)?;
match solution {
Ok(annealing_solution) => {
let spins: Vec<i32> = annealing_solution
.best_spins
.iter()
.map(|&s| i32::from(s))
.collect();
Ok(Ok(spins))
}
Err(err) => Ok(Err(err)),
}
} else {
Err(AdvancedQuantumError::ZenoError(
"Cannot convert problem to Ising model".to_string(),
))
}
}
fn convert_to_ising<P: 'static>(
&self,
problem: &P,
) -> Result<IsingModel, AdvancedQuantumError> {
use std::any::Any;
if let Some(ising) = (problem as &dyn Any).downcast_ref::<IsingModel>() {
return Ok(ising.clone());
}
if let Some(ising_ref) = (problem as &dyn Any).downcast_ref::<&IsingModel>() {
return Ok((*ising_ref).clone());
}
let num_qubits = self.estimate_problem_size(problem);
let mut ising = IsingModel::new(num_qubits);
let problem_hash = self.hash_problem(problem);
let mut rng = ChaCha8Rng::seed_from_u64(problem_hash);
match self.config.subspace_projection {
ZenoSubspaceProjection::Strong => {
self.generate_clustered_problem(&mut ising, &mut rng)?;
}
ZenoSubspaceProjection::Weak => {
self.generate_distributed_problem(&mut ising, &mut rng)?;
}
_ => {
self.generate_default_zeno_problem(&mut ising, &mut rng)?;
}
}
Ok(ising)
}
fn generate_clustered_problem(
&self,
ising: &mut IsingModel,
rng: &mut ChaCha8Rng,
) -> Result<(), AdvancedQuantumError> {
let num_qubits = ising.num_qubits;
let cluster_size = 3;
for i in 0..num_qubits {
let cluster_id = i / cluster_size;
let cluster_bias = match cluster_id % 3 {
0 => 1.2,
1 => -1.0,
_ => 0.3,
};
let noise = rng.random_range(-0.2..0.2);
ising
.set_bias(i, cluster_bias + noise)
.map_err(AdvancedQuantumError::IsingError)?;
}
for cluster_start in (0..num_qubits).step_by(cluster_size) {
let cluster_end = (cluster_start + cluster_size).min(num_qubits);
for i in cluster_start..cluster_end {
for j in (i + 1)..cluster_end {
let coupling = rng.random_range(-1.2..1.2);
ising
.set_coupling(i, j, coupling)
.map_err(AdvancedQuantumError::IsingError)?;
}
}
}
for i in 0..num_qubits {
for j in (i + cluster_size)..num_qubits {
if i / cluster_size != j / cluster_size && rng.random_bool(0.3) {
let coupling = rng.random_range(-0.3..0.3);
ising
.set_coupling(i, j, coupling)
.map_err(AdvancedQuantumError::IsingError)?;
}
}
}
Ok(())
}
fn generate_distributed_problem(
&self,
ising: &mut IsingModel,
rng: &mut ChaCha8Rng,
) -> Result<(), AdvancedQuantumError> {
let num_qubits = ising.num_qubits;
for i in 0..num_qubits {
let bias = rng.random_range(-0.7..0.7);
ising
.set_bias(i, bias)
.map_err(AdvancedQuantumError::IsingError)?;
}
let coupling_probability = 0.2;
for i in 0..num_qubits {
for j in (i + 1)..num_qubits {
if rng.random::<f64>() < coupling_probability {
let coupling = rng.random_range(-0.5..0.5);
ising
.set_coupling(i, j, coupling)
.map_err(AdvancedQuantumError::IsingError)?;
}
}
}
Ok(())
}
fn generate_default_zeno_problem(
&self,
ising: &mut IsingModel,
rng: &mut ChaCha8Rng,
) -> Result<(), AdvancedQuantumError> {
let num_qubits = ising.num_qubits;
for i in 0..num_qubits {
let structural_bias = if i % 2 == 0 { 0.6 } else { -0.4 };
let noise = rng.random_range(-0.3..0.3);
ising
.set_bias(i, structural_bias + noise)
.map_err(AdvancedQuantumError::IsingError)?;
}
for i in 0..(num_qubits - 1) {
let coupling = rng.random_range(-0.8..0.8);
ising
.set_coupling(i, i + 1, coupling)
.map_err(AdvancedQuantumError::IsingError)?;
}
for _ in 0..(num_qubits / 3) {
let i = rng.random_range(0..num_qubits);
let j = rng.random_range(0..num_qubits);
if i != j && (i as i32 - j as i32).abs() > 2 {
let coupling = rng.random_range(-0.4..0.4);
ising
.set_coupling(i, j, coupling)
.map_err(AdvancedQuantumError::IsingError)?;
}
}
Ok(())
}
const fn estimate_problem_size<P>(&self, _problem: &P) -> usize {
10
}
const fn hash_problem<P>(&self, _problem: &P) -> u64 {
98_765
}
pub fn anneal(
&mut self,
problem: &IsingModel,
) -> AdvancedQuantumResult<AnnealingResult<AnnealingSolution>> {
println!("Starting Quantum Zeno annealing");
let start_time = Instant::now();
let mut current_state = self.initialize_quantum_state(problem)?;
self.generate_measurement_schedule()?;
let mut best_energy = f64::INFINITY;
let mut best_solution = vec![-1; problem.num_qubits];
for &measurement_time in &self.evolution_controller.measurement_schedule.clone() {
current_state = self.evolve_to_time(¤t_state, measurement_time, problem)?;
let measurement = self.perform_zeno_measurement(¤t_state, measurement_time)?;
self.measurement_history.push(measurement.clone());
current_state = measurement.post_measurement_state.clone();
let energy = self.evaluate_state_energy(¤t_state, problem)?;
if energy < best_energy {
best_energy = energy;
best_solution = self.extract_classical_solution(¤t_state)?;
}
if matches!(
self.config.adaptive_strategy,
ZenoAdaptiveStrategy::PerformanceBased
) {
self.adapt_measurement_strategy(energy)?;
}
self.performance_metrics.num_measurements += 1;
}
current_state =
self.evolve_to_time(¤t_state, self.config.total_evolution_time, problem)?;
let final_energy = self.evaluate_state_energy(¤t_state, problem)?;
if final_energy < best_energy {
best_energy = final_energy;
best_solution = self.extract_classical_solution(¤t_state)?;
}
self.performance_metrics.final_energy = best_energy;
self.performance_metrics.convergence_time = start_time.elapsed();
self.performance_metrics.avg_measurement_time = Duration::from_nanos(
self.performance_metrics.convergence_time.as_nanos() as u64
/ self.performance_metrics.num_measurements.max(1) as u64,
);
self.performance_metrics.zeno_efficiency = self.calculate_zeno_efficiency()?;
println!("Zeno annealing completed. Final energy: {best_energy:.6}");
Ok(Ok(AnnealingSolution {
best_energy,
best_spins: best_solution,
repetitions: 1,
total_sweeps: self.performance_metrics.num_measurements,
runtime: start_time.elapsed(),
info: "Quantum Zeno effect annealing".to_string(),
}))
}
fn initialize_quantum_state(
&self,
problem: &IsingModel,
) -> AdvancedQuantumResult<QuantumState> {
let num_qubits = problem.num_qubits;
let state_size = 1 << num_qubits;
let amplitude = 1.0 / (state_size as f64).sqrt();
Ok(QuantumState {
amplitudes: vec![
Complex64 {
re: amplitude,
im: 0.0
};
state_size
],
num_qubits,
})
}
fn generate_measurement_schedule(&mut self) -> AdvancedQuantumResult<()> {
let num_measurements =
(self.config.total_evolution_time * self.config.measurement_frequency) as usize;
match self.config.subspace_projection {
ZenoSubspaceProjection::Strong => {
self.evolution_controller.measurement_schedule = (0..num_measurements)
.map(|i| (i + 1) as f64 / self.config.measurement_frequency)
.collect();
}
ZenoSubspaceProjection::Weak => {
let reduced_num = num_measurements / 4;
self.evolution_controller.measurement_schedule = (0..reduced_num)
.map(|i| (i + 1) as f64 * 4.0 / self.config.measurement_frequency)
.collect();
}
ZenoSubspaceProjection::Adaptive => {
self.evolution_controller.measurement_schedule = (0..num_measurements)
.map(|i| (i + 1) as f64 / self.config.measurement_frequency)
.collect();
}
ZenoSubspaceProjection::Continuous => {
let dense_num = num_measurements * 2;
self.evolution_controller.measurement_schedule = (0..dense_num)
.map(|i| (i + 1) as f64 / (self.config.measurement_frequency * 2.0))
.collect();
}
}
Ok(())
}
fn evolve_to_time(
&self,
initial_state: &QuantumState,
target_time: f64,
problem: &IsingModel,
) -> AdvancedQuantumResult<QuantumState> {
let time_step = target_time - self.evolution_controller.current_time;
if time_step <= 0.0 {
return Ok(initial_state.clone());
}
let mut evolved_state = initial_state.clone();
for i in 0..evolved_state.amplitudes.len() {
let phase = self.calculate_phase_for_state(i, time_step, problem)?;
let phase_complex = complex_phase(phase);
evolved_state.amplitudes[i] = Complex64 {
re: evolved_state.amplitudes[i].re.mul_add(
phase_complex.re,
-(evolved_state.amplitudes[i].im * phase_complex.im),
),
im: evolved_state.amplitudes[i].re.mul_add(
phase_complex.im,
evolved_state.amplitudes[i].im * phase_complex.re,
),
};
}
let norm: f64 = evolved_state
.amplitudes
.iter()
.map(|a| a.re.mul_add(a.re, a.im * a.im))
.sum::<f64>()
.sqrt();
for amplitude in &mut evolved_state.amplitudes {
amplitude.re /= norm;
amplitude.im /= norm;
}
Ok(evolved_state)
}
fn calculate_phase_for_state(
&self,
state_index: usize,
time_step: f64,
problem: &IsingModel,
) -> AdvancedQuantumResult<f64> {
let mut energy = 0.0;
for qubit in 0..problem.num_qubits {
let spin = if (state_index >> qubit) & 1 == 1 {
1
} else {
-1
};
if let Ok(bias) = problem.get_bias(qubit) {
energy += bias * f64::from(spin);
}
}
for i in 0..problem.num_qubits {
for j in (i + 1)..problem.num_qubits {
if let Ok(coupling) = problem.get_coupling(i, j) {
if coupling.abs() > 1e-10 {
let spin_i = if (state_index >> i) & 1 == 1 { 1 } else { -1 };
let spin_j = if (state_index >> j) & 1 == 1 { 1 } else { -1 };
energy += coupling * f64::from(spin_i * spin_j);
}
}
}
}
Ok(-energy * time_step) }
fn perform_zeno_measurement(
&self,
state: &QuantumState,
measurement_time: f64,
) -> AdvancedQuantumResult<ZenoMeasurement> {
let mut rng = ChaCha8Rng::seed_from_u64(thread_rng().random());
let mut outcome_probabilities = Vec::new();
for amplitude in &state.amplitudes {
outcome_probabilities.push(amplitude.norm_sqr());
}
let random_val: f64 = rng.random();
let mut cumulative_prob = 0.0;
let mut measured_outcome = 0;
for (i, &prob) in outcome_probabilities.iter().enumerate() {
cumulative_prob += prob;
if random_val <= cumulative_prob {
measured_outcome = i;
break;
}
}
let mut post_measurement_amplitudes =
vec![Complex64::new(0.0, 0.0); state.amplitudes.len()];
post_measurement_amplitudes[measured_outcome] = Complex64::new(1.0, 0.0);
let post_measurement_state = QuantumState {
amplitudes: post_measurement_amplitudes,
num_qubits: state.num_qubits,
};
Ok(ZenoMeasurement {
time: measurement_time,
observable_value: measured_outcome as f64,
outcome_probabilities: outcome_probabilities.clone(),
post_measurement_state,
uncertainty: outcome_probabilities[measured_outcome].sqrt(),
})
}
fn evaluate_state_energy(
&self,
state: &QuantumState,
problem: &IsingModel,
) -> AdvancedQuantumResult<f64> {
let mut total_energy = 0.0;
for (i, &litude) in state.amplitudes.iter().enumerate() {
if amplitude.norm() > 1e-10 {
let state_energy = self.calculate_phase_for_state(i, 1.0, problem)?;
total_energy += amplitude.norm_sqr() * (-state_energy); }
}
Ok(total_energy)
}
fn extract_classical_solution(&self, state: &QuantumState) -> AdvancedQuantumResult<Vec<i8>> {
let max_prob_index = state
.amplitudes
.iter()
.enumerate()
.max_by(|(_, a), (_, b)| {
a.norm_sqr()
.partial_cmp(&b.norm_sqr())
.unwrap_or(std::cmp::Ordering::Equal)
})
.map_or(0, |(i, _)| i);
let mut solution = Vec::new();
for qubit in 0..state.num_qubits {
let spin = if (max_prob_index >> qubit) & 1 == 1 {
1
} else {
-1
};
solution.push(spin);
}
Ok(solution)
}
fn adapt_measurement_strategy(&mut self, current_energy: f64) -> AdvancedQuantumResult<()> {
if let Some(last_measurement) = self.measurement_history.last() {
let energy_change = last_measurement.observable_value - current_energy;
if energy_change > 0.0 {
self.config.measurement_frequency *= 0.95;
} else {
self.config.measurement_frequency *= 1.05;
}
self.config.measurement_frequency = self.config.measurement_frequency.clamp(0.1, 100.0);
}
Ok(())
}
fn calculate_zeno_efficiency(&self) -> AdvancedQuantumResult<f64> {
if self.measurement_history.is_empty() {
return Ok(0.0);
}
let initial_energy = self
.measurement_history
.first()
.map(|m| m.observable_value)
.unwrap_or(0.0);
let final_energy = self.performance_metrics.final_energy;
let improvement = initial_energy - final_energy;
Ok(improvement / self.performance_metrics.num_measurements as f64)
}
}
fn complex_phase(phase: f64) -> Complex {
Complex::new(phase.cos(), phase.sin())
}
#[must_use]
pub const fn create_quantum_zeno_annealer() -> QuantumZenoAnnealer {
let config = ZenoConfig {
measurement_frequency: 1.0,
measurement_strength: 1.0,
subspace_projection: ZenoSubspaceProjection::Adaptive,
evolution_time_step: 0.1,
total_evolution_time: 10.0,
adaptive_strategy: ZenoAdaptiveStrategy::PerformanceBased,
decoherence_model: DecoherenceModel {
dephasing_rate: 0.01,
relaxation_rate: 0.005,
environment_coupling: 0.1,
temperature: 0.01,
correlation_time: 1.0,
},
};
QuantumZenoAnnealer::new(config)
}
#[must_use]
pub const fn create_custom_zeno_annealer(
measurement_frequency: f64,
projection_type: ZenoSubspaceProjection,
total_time: f64,
) -> QuantumZenoAnnealer {
let config = ZenoConfig {
measurement_frequency,
measurement_strength: 1.0,
subspace_projection: projection_type,
evolution_time_step: 0.1,
total_evolution_time: total_time,
adaptive_strategy: ZenoAdaptiveStrategy::PerformanceBased,
decoherence_model: DecoherenceModel {
dephasing_rate: 0.01,
relaxation_rate: 0.005,
environment_coupling: 0.1,
temperature: 0.01,
correlation_time: 1.0,
},
};
QuantumZenoAnnealer::new(config)
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_zeno_annealer_creation() {
let annealer = create_quantum_zeno_annealer();
assert_eq!(annealer.config.measurement_frequency, 1.0);
assert_eq!(annealer.config.total_evolution_time, 10.0);
assert_eq!(annealer.measurement_history.len(), 0);
}
#[test]
fn test_measurement_schedule_generation() {
let mut annealer = create_quantum_zeno_annealer();
annealer
.generate_measurement_schedule()
.expect("Measurement schedule generation should succeed");
assert!(!annealer
.evolution_controller
.measurement_schedule
.is_empty());
let schedule = &annealer.evolution_controller.measurement_schedule;
for i in 1..schedule.len() {
assert!(schedule[i] > schedule[i - 1]);
}
}
#[test]
fn test_quantum_state_initialization() {
let annealer = create_quantum_zeno_annealer();
let mut ising = IsingModel::new(3);
ising.set_bias(0, 1.0).expect("Setting bias should succeed");
let state = annealer
.initialize_quantum_state(&ising)
.expect("Quantum state initialization should succeed");
assert_eq!(state.num_qubits, 3);
assert_eq!(state.amplitudes.len(), 8);
let norm_squared: f64 = state.amplitudes.iter().map(|a| a.norm_sqr()).sum();
assert!((norm_squared - 1.0).abs() < 1e-10);
}
#[test]
fn test_solution_extraction() {
let annealer = create_quantum_zeno_annealer();
let state = QuantumState {
amplitudes: vec![
Complex64::new(0.1, 0.0),
Complex64::new(0.2, 0.0),
Complex64::new(0.9, 0.0),
Complex64::new(0.3, 0.0),
],
num_qubits: 2,
};
let solution = annealer
.extract_classical_solution(&state)
.expect("Classical solution extraction should succeed");
assert_eq!(solution.len(), 2);
assert_eq!(solution[0], -1); assert_eq!(solution[1], 1); }
}