#![allow(dead_code)]
#[cfg(feature = "dwave")]
use crate::compile::CompiledModel;
use crate::sampler::{SampleResult, Sampler};
use scirs2_core::ndarray::Array2;
use scirs2_core::random::prelude::*;
use std::collections::HashMap;
use std::f64::consts::PI;
#[cfg(feature = "scirs")]
use crate::scirs_stub::{
scirs2_optimization::gradient::LBFGS,
scirs2_optimization::{Bounds, ObjectiveFunction, Optimizer},
};
pub struct VQE {
n_qubits: usize,
ansatz: AnsatzType,
optimizer: ClassicalOptimizer,
max_iterations: usize,
convergence_threshold: f64,
}
#[derive(Debug, Clone)]
pub enum AnsatzType {
HardwareEfficient {
depth: usize,
entangling_gate: String,
},
UCC { excitation_order: usize },
Custom {
name: String,
parameters: HashMap<String, f64>,
},
}
#[derive(Debug, Clone)]
pub enum ClassicalOptimizer {
COBYLA { rhobeg: f64, rhoend: f64 },
LBFGS {
max_iterations: usize,
tolerance: f64,
},
SPSA {
a: f64,
c: f64,
alpha: f64,
gamma: f64,
},
GradientDescent { learning_rate: f64, momentum: f64 },
}
impl VQE {
pub const fn new(n_qubits: usize, ansatz: AnsatzType, optimizer: ClassicalOptimizer) -> Self {
Self {
n_qubits,
ansatz,
optimizer,
max_iterations: 1000,
convergence_threshold: 1e-6,
}
}
pub const fn with_max_iterations(mut self, iterations: usize) -> Self {
self.max_iterations = iterations;
self
}
pub const fn with_convergence_threshold(mut self, threshold: f64) -> Self {
self.convergence_threshold = threshold;
self
}
pub fn solve(&mut self, hamiltonian: &Hamiltonian) -> Result<VQEResult, String> {
let num_params = self.get_num_parameters();
let mut params = self.initialize_parameters(num_params);
let mut energy_history = Vec::new();
let mut param_history = Vec::new();
let mut converged = false;
for iteration in 0..self.max_iterations {
let energy = self.evaluate_energy(¶ms, hamiltonian)?;
energy_history.push(energy);
param_history.push(params.clone());
if iteration > 0 {
let energy_change =
(energy_history[iteration] - energy_history[iteration - 1]).abs();
if energy_change < self.convergence_threshold {
converged = true;
break;
}
}
params = self.update_parameters(params, hamiltonian)?;
}
let iterations = energy_history.len();
let ground_state_energy = energy_history.last().copied().unwrap_or(0.0);
Ok(VQEResult {
optimal_parameters: params,
ground_state_energy,
energy_history,
parameter_history: param_history,
converged,
iterations,
})
}
fn get_num_parameters(&self) -> usize {
match &self.ansatz {
AnsatzType::HardwareEfficient { depth, .. } => {
self.n_qubits * 3 * depth + (self.n_qubits - 1) * depth
}
AnsatzType::UCC { excitation_order } => {
self.n_qubits * excitation_order
}
AnsatzType::Custom { parameters, .. } => parameters.len(),
}
}
fn initialize_parameters(&self, num_params: usize) -> Vec<f64> {
use scirs2_core::random::prelude::*;
let mut rng = thread_rng();
(0..num_params).map(|_| rng.random_range(-PI..PI)).collect()
}
fn evaluate_energy(&self, params: &[f64], hamiltonian: &Hamiltonian) -> Result<f64, String> {
let energy = hamiltonian.evaluate_classical(params)?;
Ok(energy)
}
fn update_parameters(
&self,
current_params: Vec<f64>,
hamiltonian: &Hamiltonian,
) -> Result<Vec<f64>, String> {
match &self.optimizer {
ClassicalOptimizer::GradientDescent {
learning_rate,
momentum: _,
} => {
let gradient = self.compute_gradient(¤t_params, hamiltonian)?;
let mut new_params = current_params;
for i in 0..new_params.len() {
new_params[i] -= learning_rate * gradient[i];
}
Ok(new_params)
}
ClassicalOptimizer::SPSA { a, c, alpha, gamma } => {
self.spsa_update(current_params, hamiltonian, *a, *c, *alpha, *gamma)
}
_ => {
Ok(current_params)
}
}
}
fn compute_gradient(
&self,
params: &[f64],
hamiltonian: &Hamiltonian,
) -> Result<Vec<f64>, String> {
let mut gradient = vec![0.0; params.len()];
let shift = PI / 2.0;
for i in 0..params.len() {
let mut params_plus = params.to_vec();
let mut params_minus = params.to_vec();
params_plus[i] += shift;
params_minus[i] -= shift;
let energy_plus = self.evaluate_energy(¶ms_plus, hamiltonian)?;
let energy_minus = self.evaluate_energy(¶ms_minus, hamiltonian)?;
gradient[i] = (energy_plus - energy_minus) / (2.0 * shift);
}
Ok(gradient)
}
fn spsa_update(
&self,
params: Vec<f64>,
hamiltonian: &Hamiltonian,
a: f64,
c: f64,
_alpha: f64,
_gamma: f64,
) -> Result<Vec<f64>, String> {
use scirs2_core::random::prelude::*;
let mut rng = thread_rng();
let delta: Vec<f64> = (0..params.len())
.map(|_| if rng.random_bool(0.5) { 1.0 } else { -1.0 })
.collect();
let mut params_plus = params.clone();
let mut params_minus = params.clone();
for i in 0..params.len() {
params_plus[i] += c * delta[i];
params_minus[i] -= c * delta[i];
}
let energy_plus = self.evaluate_energy(¶ms_plus, hamiltonian)?;
let energy_minus = self.evaluate_energy(¶ms_minus, hamiltonian)?;
let mut new_params = params.clone();
for i in 0..params.len() {
new_params[i] -= a * (energy_plus - energy_minus) / (2.0 * c * delta[i]);
}
Ok(new_params)
}
}
#[derive(Debug, Clone)]
pub struct VQEResult {
pub optimal_parameters: Vec<f64>,
pub ground_state_energy: f64,
pub energy_history: Vec<f64>,
pub parameter_history: Vec<Vec<f64>>,
pub converged: bool,
pub iterations: usize,
}
#[derive(Debug, Clone)]
pub struct Hamiltonian {
pub terms: Vec<PauliTerm>,
}
#[derive(Debug, Clone)]
pub struct PauliTerm {
pub coefficient: f64,
pub pauli_string: Vec<char>,
}
impl Hamiltonian {
pub fn from_qubo(qubo: &Array2<f64>) -> Self {
let n = qubo.shape()[0];
let mut terms = Vec::new();
for i in 0..n {
let h_i = qubo[[i, i]];
if h_i.abs() > 1e-10 {
let mut pauli_string = vec!['I'; n];
pauli_string[i] = 'Z';
terms.push(PauliTerm {
coefficient: h_i,
pauli_string,
});
}
for j in i + 1..n {
let j_ij = qubo[[i, j]];
if j_ij.abs() > 1e-10 {
let mut pauli_string = vec!['I'; n];
pauli_string[i] = 'Z';
pauli_string[j] = 'Z';
terms.push(PauliTerm {
coefficient: j_ij,
pauli_string,
});
}
}
}
Self { terms }
}
fn evaluate_classical(&self, params: &[f64]) -> Result<f64, String> {
let n_qubits = self
.terms
.first()
.map(|t| t.pauli_string.len())
.unwrap_or(0);
let z_expect: Vec<f64> = (0..n_qubits)
.map(|i| {
if i < params.len() {
params[i].cos()
} else {
1.0
}
})
.collect();
let mut energy = 0.0_f64;
for term in &self.terms {
let z_qubits: Vec<usize> = term
.pauli_string
.iter()
.enumerate()
.filter_map(|(i, &op)| if op == 'Z' { Some(i) } else { None })
.collect();
let contrib: f64 = z_qubits.iter().map(|&i| z_expect[i]).product();
energy += term.coefficient * contrib;
}
Ok(energy)
}
}
pub struct QAOA {
p: usize,
optimizer: ClassicalOptimizer,
initial_state: InitialState,
}
#[derive(Debug, Clone)]
pub enum InitialState {
EqualSuperposition,
Custom(Vec<f64>),
WarmStart(Vec<bool>),
}
impl QAOA {
pub const fn new(p: usize, optimizer: ClassicalOptimizer) -> Self {
Self {
p,
optimizer,
initial_state: InitialState::EqualSuperposition,
}
}
pub fn with_initial_state(mut self, state: InitialState) -> Self {
self.initial_state = state;
self
}
pub fn solve_qubo(&mut self, qubo: &Array2<f64>) -> Result<QAOAResult, String> {
let hamiltonian = Hamiltonian::from_qubo(qubo);
let mut betas = vec![0.0; self.p];
let mut gammas = vec![0.0; self.p];
let mut energy_history = Vec::new();
let max_iterations = 100;
for iteration in 0..max_iterations {
let energy = self.evaluate_qaoa_energy(&betas, &gammas, &hamiltonian)?;
energy_history.push(energy);
let (new_betas, new_gammas) =
self.update_qaoa_parameters(&betas, &gammas, &hamiltonian)?;
betas = new_betas;
gammas = new_gammas;
if iteration > 0 {
let improvement = energy_history[iteration - 1] - energy;
if improvement < 1e-6 && improvement > 0.0 {
break;
}
}
}
let samples = self.sample_qaoa_state(&betas, &gammas, &hamiltonian, 1000)?;
let best_energy = energy_history.last().copied().unwrap_or(0.0);
Ok(QAOAResult {
optimal_betas: betas,
optimal_gammas: gammas,
energy_history,
samples,
best_energy,
})
}
fn evaluate_qaoa_energy(
&self,
betas: &[f64],
gammas: &[f64],
_hamiltonian: &Hamiltonian,
) -> Result<f64, String> {
let param_sum: f64 = betas.iter().sum::<f64>() + gammas.iter().sum::<f64>();
Ok(param_sum.sin() * 10.0)
}
fn update_qaoa_parameters(
&self,
betas: &[f64],
gammas: &[f64],
hamiltonian: &Hamiltonian,
) -> Result<(Vec<f64>, Vec<f64>), String> {
let mut params = Vec::new();
params.extend_from_slice(betas);
params.extend_from_slice(gammas);
if let ClassicalOptimizer::GradientDescent { learning_rate, .. } = &self.optimizer {
let gradient = self.compute_qaoa_gradient(¶ms, hamiltonian)?;
for i in 0..params.len() {
params[i] -= learning_rate * gradient[i];
}
} else {
}
let new_betas = params[..self.p].to_vec();
let new_gammas = params[self.p..].to_vec();
Ok((new_betas, new_gammas))
}
fn compute_qaoa_gradient(
&self,
params: &[f64],
_hamiltonian: &Hamiltonian,
) -> Result<Vec<f64>, String> {
let mut gradient = vec![0.0; params.len()];
for i in 0..params.len() {
gradient[i] = -params[i].cos();
}
Ok(gradient)
}
fn sample_qaoa_state(
&self,
_betas: &[f64],
_gammas: &[f64],
_hamiltonian: &Hamiltonian,
num_samples: usize,
) -> Result<Vec<Vec<bool>>, String> {
use scirs2_core::random::prelude::*;
let mut rng = thread_rng();
let n_qubits = 10;
let samples = (0..num_samples)
.map(|_| (0..n_qubits).map(|_| rng.random_bool(0.5)).collect())
.collect();
Ok(samples)
}
}
#[derive(Debug, Clone)]
pub struct QAOAResult {
pub optimal_betas: Vec<f64>,
pub optimal_gammas: Vec<f64>,
pub energy_history: Vec<f64>,
pub samples: Vec<Vec<bool>>,
pub best_energy: f64,
}
pub struct WarmStartStrategy {
pre_solver: Box<dyn Sampler>,
classical_iterations: usize,
usage: WarmStartUsage,
}
#[derive(Debug, Clone)]
pub enum WarmStartUsage {
InitialState,
ParameterInitialization,
ReferencePoint,
Alternating { switch_threshold: f64 },
}
impl WarmStartStrategy {
pub fn new(
pre_solver: Box<dyn Sampler>,
classical_iterations: usize,
usage: WarmStartUsage,
) -> Self {
Self {
pre_solver,
classical_iterations,
usage,
}
}
#[cfg(feature = "dwave")]
pub fn generate_warm_start(
&mut self,
problem: &CompiledModel,
) -> Result<WarmStartResult, String> {
let mut qubo = problem.to_qubo();
let qubo_tuple = (qubo.to_dense_matrix(), qubo.variable_map());
let classical_results = self
.pre_solver
.run_qubo(&qubo_tuple, self.classical_iterations)
.map_err(|e| format!("Classical solver error: {e:?}"))?;
let mut best_solution = classical_results
.first()
.ok_or("No classical solution found")?;
match &self.usage {
WarmStartUsage::InitialState => {
let state_vector = self.solution_to_state_vector(&best_solution.assignments)?;
Ok(WarmStartResult::StateVector(state_vector))
}
WarmStartUsage::ParameterInitialization => {
let mut params = self.solution_to_parameters(&best_solution.assignments)?;
Ok(WarmStartResult::Parameters(params))
}
_ => {
Ok(WarmStartResult::Solution(best_solution.clone()))
}
}
}
fn solution_to_state_vector(
&self,
assignments: &HashMap<String, bool>,
) -> Result<Vec<f64>, String> {
let n = assignments.len();
let dim = 1 << n; let mut state = vec![0.0; dim];
let mut index = 0;
let mut vars: Vec<_> = assignments.keys().collect();
vars.sort();
for (i, var) in vars.iter().enumerate() {
if assignments[var.as_str()] {
index |= 1 << i;
}
}
state[index] = 1.0;
Ok(state)
}
fn solution_to_parameters(
&self,
assignments: &HashMap<String, bool>,
) -> Result<Vec<f64>, String> {
let params: Vec<f64> = assignments
.values()
.map(|&b| if b { PI / 4.0 } else { -PI / 4.0 })
.collect();
Ok(params)
}
}
#[derive(Debug, Clone)]
pub enum WarmStartResult {
StateVector(Vec<f64>),
Parameters(Vec<f64>),
Solution(SampleResult),
}
pub struct IterativeRefinement {
quantum_solver: Box<dyn Sampler>,
classical_processor: ClassicalProcessor,
max_refinements: usize,
improvement_threshold: f64,
}
#[derive(Debug, Clone)]
pub enum ClassicalProcessor {
LocalSearch { neighborhood_size: usize },
SimulatedAnnealing {
initial_temp: f64,
cooling_rate: f64,
},
TabuSearch { tabu_tenure: usize },
VariableNeighborhood { k_max: usize },
}
impl IterativeRefinement {
pub fn new(
quantum_solver: Box<dyn Sampler>,
classical_processor: ClassicalProcessor,
max_refinements: usize,
) -> Self {
Self {
quantum_solver,
classical_processor,
max_refinements,
improvement_threshold: 1e-6,
}
}
#[cfg(feature = "dwave")]
pub fn refine(
&mut self,
problem: &CompiledModel,
initial_shots: usize,
) -> Result<RefinementResult, String> {
let mut qubo = problem.to_qubo();
let mut history = Vec::new();
let mut best_solution = None;
let mut best_energy = f64::INFINITY;
for iteration in 0..self.max_refinements {
let qubo_tuple = (qubo.to_dense_matrix(), qubo.variable_map());
let quantum_results = self
.quantum_solver
.run_qubo(&qubo_tuple, initial_shots)
.map_err(|e| format!("Quantum solver error: {e:?}"))?;
let refined_results =
self.apply_classical_refinement(&quantum_results, &qubo_tuple.0, &qubo_tuple.1)?;
for result in &refined_results {
if result.energy < best_energy {
best_energy = result.energy;
best_solution = Some(result.clone());
}
}
history.push(IterationResult {
quantum_energy: quantum_results.first().map_or(f64::INFINITY, |r| r.energy),
refined_energy: refined_results.first().map_or(f64::INFINITY, |r| r.energy),
improvement: 0.0, });
if iteration > 0 {
let improvement =
history[iteration - 1].refined_energy - history[iteration].refined_energy;
if improvement < self.improvement_threshold {
break;
}
}
}
Ok(RefinementResult {
best_solution: best_solution.ok_or("No solution found")?,
total_iterations: history.len(),
refinement_history: history,
})
}
fn apply_classical_refinement(
&self,
quantum_results: &[SampleResult],
qubo_matrix: &Array2<f64>,
var_map: &HashMap<String, usize>,
) -> Result<Vec<SampleResult>, String> {
match &self.classical_processor {
ClassicalProcessor::LocalSearch { neighborhood_size } => self.local_search_refinement(
quantum_results,
qubo_matrix,
var_map,
*neighborhood_size,
),
_ => {
Ok(quantum_results.to_vec())
}
}
}
fn local_search_refinement(
&self,
results: &[SampleResult],
qubo_matrix: &Array2<f64>,
var_map: &HashMap<String, usize>,
neighborhood_size: usize,
) -> Result<Vec<SampleResult>, String> {
let mut refined_results = Vec::new();
for result in results.iter().take(10) {
let mut state: Vec<bool> = var_map.keys().map(|var| result.assignments[var]).collect();
let mut best_state = state.clone();
let mut best_energy = result.energy;
for _ in 0..neighborhood_size {
let mut neighbor = state.clone();
use scirs2_core::random::prelude::*;
let mut rng = thread_rng();
let flip_idx = rng.random_range(0..state.len());
neighbor[flip_idx] = !neighbor[flip_idx];
let energy = self.evaluate_qubo_energy(&neighbor, qubo_matrix);
if energy < best_energy {
best_energy = energy;
best_state = neighbor.clone();
}
state = best_state.clone();
}
let assignments: HashMap<String, bool> = var_map
.iter()
.zip(best_state.iter())
.map(|((var, _), &val)| (var.clone(), val))
.collect();
refined_results.push(SampleResult {
assignments,
energy: best_energy,
occurrences: result.occurrences,
});
}
refined_results.sort_by(|a, b| {
a.energy
.partial_cmp(&b.energy)
.unwrap_or(std::cmp::Ordering::Equal)
});
Ok(refined_results)
}
fn evaluate_qubo_energy(&self, state: &[bool], matrix: &Array2<f64>) -> f64 {
let n = state.len();
let mut energy = 0.0;
for i in 0..n {
if state[i] {
energy += matrix[[i, i]];
for j in i + 1..n {
if state[j] {
energy += matrix[[i, j]];
}
}
}
}
energy
}
}
#[derive(Debug, Clone)]
pub struct RefinementResult {
pub best_solution: SampleResult,
pub refinement_history: Vec<IterationResult>,
pub total_iterations: usize,
}
#[derive(Debug, Clone)]
pub struct IterationResult {
pub quantum_energy: f64,
pub refined_energy: f64,
pub improvement: f64,
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_vqe_initialization() {
let vqe = VQE::new(
4,
AnsatzType::HardwareEfficient {
depth: 2,
entangling_gate: "CZ".to_string(),
},
ClassicalOptimizer::GradientDescent {
learning_rate: 0.1,
momentum: 0.9,
},
);
assert_eq!(vqe.n_qubits, 4);
assert_eq!(vqe.get_num_parameters(), 4 * 3 * 2 + 3 * 2); }
#[test]
fn test_hamiltonian_from_qubo() {
let mut qubo = Array2::zeros((3, 3));
qubo[[0, 0]] = 1.0;
qubo[[0, 1]] = -2.0;
qubo[[1, 0]] = -2.0;
qubo[[1, 1]] = 1.0;
let hamiltonian = Hamiltonian::from_qubo(&qubo);
assert_eq!(hamiltonian.terms.len(), 3); }
#[test]
fn test_qaoa_initialization() {
let qaoa = QAOA::new(
3,
ClassicalOptimizer::SPSA {
a: 0.1,
c: 0.1,
alpha: 0.602,
gamma: 0.101,
},
);
assert_eq!(qaoa.p, 3);
}
}