use std::collections::HashMap;
use std::time::Duration;
use scirs2_core::random::ChaCha8Rng;
use scirs2_core::random::{Rng, SeedableRng};
use scirs2_core::RngExt;
use super::error::{AdvancedQuantumError, AdvancedQuantumResult};
use crate::ising::IsingModel;
use crate::simulator::{AnnealingResult, AnnealingSolution};
#[derive(Debug, Clone)]
pub struct AdiabaticShortcutsOptimizer {
pub config: ShortcutsConfig,
pub protocols: Vec<ShortcutProtocol>,
pub control_optimizer: ControlOptimizer,
pub performance_stats: ShortcutsPerformanceStats,
}
#[derive(Debug, Clone)]
pub struct ShortcutsConfig {
pub shortcut_method: ShortcutMethod,
pub control_method: ControlOptimizationMethod,
pub time_constraints: TimeConstraints,
pub fidelity_targets: FidelityTargets,
pub resource_constraints: ResourceConstraints,
}
impl Default for ShortcutsConfig {
fn default() -> Self {
Self {
shortcut_method: ShortcutMethod::ShortcutsToAdiabaticity,
control_method: ControlOptimizationMethod::GRAPE,
time_constraints: TimeConstraints::default(),
fidelity_targets: FidelityTargets::default(),
resource_constraints: ResourceConstraints::default(),
}
}
}
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum ShortcutMethod {
ShortcutsToAdiabaticity,
FastForward,
CounterdiabaticDriving,
OptimalControl,
MachineLearning,
}
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum ControlOptimizationMethod {
GRAPE,
CRAB,
Krotov,
Pontryagin,
ReinforcementLearning,
}
#[derive(Debug, Clone)]
pub struct TimeConstraints {
pub min_time: f64,
pub max_time: f64,
pub time_steps: usize,
pub time_tolerance: f64,
}
impl Default for TimeConstraints {
fn default() -> Self {
Self {
min_time: 0.1,
max_time: 10.0,
time_steps: 100,
time_tolerance: 1e-6,
}
}
}
#[derive(Debug, Clone)]
pub struct FidelityTargets {
pub state_fidelity: f64,
pub process_fidelity: f64,
pub energy_fidelity: f64,
pub fidelity_tolerance: f64,
}
impl Default for FidelityTargets {
fn default() -> Self {
Self {
state_fidelity: 0.99,
process_fidelity: 0.95,
energy_fidelity: 0.98,
fidelity_tolerance: 1e-4,
}
}
}
#[derive(Debug, Clone)]
pub struct ResourceConstraints {
pub max_control_amplitude: f64,
pub max_control_derivative: f64,
pub available_controls: Vec<ControlField>,
pub hardware_limitations: HardwareLimitations,
}
impl Default for ResourceConstraints {
fn default() -> Self {
Self {
max_control_amplitude: 10.0,
max_control_derivative: 100.0,
available_controls: vec![
ControlField::MagneticX,
ControlField::MagneticY,
ControlField::MagneticZ,
],
hardware_limitations: HardwareLimitations::default(),
}
}
}
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum ControlField {
MagneticX,
MagneticY,
MagneticZ,
Electric,
Microwave,
Laser,
}
#[derive(Debug, Clone)]
pub struct HardwareLimitations {
pub max_field_strength: f64,
pub field_rise_time: f64,
pub control_bandwidth: f64,
pub noise_floor: f64,
}
impl Default for HardwareLimitations {
fn default() -> Self {
Self {
max_field_strength: 5.0,
field_rise_time: 0.01,
control_bandwidth: 1000.0,
noise_floor: 1e-6,
}
}
}
#[derive(Debug, Clone)]
pub struct ShortcutProtocol {
pub name: String,
pub time_evolution: Vec<TimePoint>,
pub control_fields: Vec<ControlSequence>,
pub expected_fidelity: f64,
pub protocol_cost: f64,
}
#[derive(Debug, Clone)]
pub struct TimePoint {
pub time: f64,
pub hamiltonian: HamiltonianComponent,
pub state_vector: Vec<f64>,
pub energy: f64,
}
#[derive(Debug, Clone)]
pub struct HamiltonianComponent {
pub pauli_string: String,
pub coefficient: f64,
pub qubit_indices: Vec<usize>,
}
#[derive(Debug, Clone)]
pub struct ControlSequence {
pub field_type: ControlField,
pub amplitude_sequence: Vec<(f64, f64)>,
pub interpolation: InterpolationMethod,
}
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum InterpolationMethod {
Linear,
CubicSpline,
Fourier,
PiecewiseConstant,
}
#[derive(Debug, Clone)]
pub struct ControlOptimizer {
pub algorithm: ControlOptimizationAlgorithm,
pub cost_function: CostFunction,
pub gradient_computation: GradientComputation,
pub convergence_criteria: ControlConvergenceCriteria,
}
#[derive(Debug, Clone)]
pub struct ControlOptimizationAlgorithm {
pub algorithm_type: ControlOptimizationMethod,
pub parameters: HashMap<String, f64>,
pub max_iterations: usize,
pub learning_rate: f64,
}
#[derive(Debug, Clone)]
pub struct CostFunction {
pub fidelity_weight: f64,
pub time_weight: f64,
pub energy_weight: f64,
pub control_effort_weight: f64,
pub regularization: Vec<RegularizationTerm>,
}
#[derive(Debug, Clone)]
pub struct RegularizationTerm {
pub term_type: RegularizationType,
pub weight: f64,
pub parameters: Vec<f64>,
}
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum RegularizationType {
L1,
L2,
TotalVariation,
Smoothness,
Bandwidth,
}
#[derive(Debug, Clone, PartialEq, Eq)]
pub enum GradientComputation {
Analytical,
FiniteDifferences,
AutoDiff,
Adjoint,
}
#[derive(Debug, Clone)]
pub struct ControlConvergenceCriteria {
pub cost_tolerance: f64,
pub gradient_tolerance: f64,
pub parameter_tolerance: f64,
pub max_stagnation: usize,
}
#[derive(Debug, Clone)]
pub struct ShortcutsPerformanceStats {
pub achieved_fidelity: f64,
pub protocol_time: f64,
pub optimization_time: Duration,
pub control_effort: f64,
pub speedup_factor: f64,
}
impl AdiabaticShortcutsOptimizer {
#[must_use]
pub fn new(config: ShortcutsConfig) -> Self {
Self {
config,
protocols: Vec::new(),
control_optimizer: ControlOptimizer::default(),
performance_stats: ShortcutsPerformanceStats::default(),
}
}
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.optimize(&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::AdiabaticError(
"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.shortcut_method {
ShortcutMethod::ShortcutsToAdiabaticity => {
self.generate_smooth_landscape(&mut ising, &mut rng)?;
}
ShortcutMethod::FastForward => {
self.generate_gap_structured_problem(&mut ising, &mut rng)?;
}
_ => {
self.generate_default_problem(&mut ising, &mut rng)?;
}
}
Ok(ising)
}
fn generate_smooth_landscape(
&self,
ising: &mut IsingModel,
rng: &mut ChaCha8Rng,
) -> Result<(), AdvancedQuantumError> {
let num_qubits = ising.num_qubits;
for i in 0..num_qubits {
let bias = 0.5 * (2.0 * std::f64::consts::PI * i as f64 / num_qubits as f64).sin();
ising
.set_bias(i, bias)
.map_err(AdvancedQuantumError::IsingError)?;
}
for i in 0..(num_qubits - 1) {
let coupling = 0.2f64.mul_add(rng.random_range(-1.0..1.0), -0.5);
ising
.set_coupling(i, i + 1, coupling)
.map_err(AdvancedQuantumError::IsingError)?;
}
for _ in 0..(num_qubits / 4) {
let i = rng.random_range(0..num_qubits);
let j = rng.random_range(0..num_qubits);
if i != j {
let coupling = 0.1 * rng.random_range(-1.0..1.0);
ising
.set_coupling(i, j, coupling)
.map_err(AdvancedQuantumError::IsingError)?;
}
}
Ok(())
}
fn generate_gap_structured_problem(
&self,
ising: &mut IsingModel,
rng: &mut ChaCha8Rng,
) -> Result<(), AdvancedQuantumError> {
let num_qubits = ising.num_qubits;
for i in 0..num_qubits {
let bias = if i % 2 == 0 { 0.8 } else { -0.8 };
ising
.set_bias(i, bias)
.map_err(AdvancedQuantumError::IsingError)?;
}
for i in 0..num_qubits {
for j in (i + 1)..num_qubits {
if (i + j) % 3 == 0 {
let coupling = 0.3 * if rng.random_bool(0.5) { 1.0 } else { -1.0 };
ising
.set_coupling(i, j, coupling)
.map_err(AdvancedQuantumError::IsingError)?;
}
}
}
Ok(())
}
fn generate_default_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(-1.0..1.0);
ising
.set_bias(i, bias)
.map_err(AdvancedQuantumError::IsingError)?;
}
let coupling_probability = 0.3;
for i in 0..num_qubits {
for j in (i + 1)..num_qubits {
if rng.random::<f64>() < coupling_probability {
let coupling = rng.random_range(-1.0..1.0);
ising
.set_coupling(i, j, coupling)
.map_err(AdvancedQuantumError::IsingError)?;
}
}
}
Ok(())
}
const fn estimate_problem_size<P>(&self, _problem: &P) -> usize {
12
}
const fn hash_problem<P>(&self, _problem: &P) -> u64 {
54_321
}
pub fn optimize(
&mut self,
problem: &IsingModel,
) -> AdvancedQuantumResult<AnnealingResult<AnnealingSolution>> {
println!("Starting Adiabatic Shortcuts optimization");
let start_time = std::time::Instant::now();
let protocol = self.generate_shortcut_protocol(problem)?;
self.protocols.push(protocol.clone());
let result = self.execute_protocol(&protocol, problem)?;
self.performance_stats.optimization_time = start_time.elapsed();
self.performance_stats.achieved_fidelity = self.calculate_achieved_fidelity(&result)?;
self.performance_stats.protocol_time =
protocol.time_evolution.last().map_or(0.0, |tp| tp.time);
self.performance_stats.control_effort = self.calculate_control_effort(&protocol)?;
self.performance_stats.speedup_factor = self.calculate_speedup_factor(&protocol)?;
println!(
"Adiabatic shortcuts completed. Energy: {:.6}, Fidelity: {:.6}",
result.best_energy, self.performance_stats.achieved_fidelity
);
Ok(Ok(result))
}
fn generate_shortcut_protocol(
&self,
problem: &IsingModel,
) -> AdvancedQuantumResult<ShortcutProtocol> {
let protocol_name = format!("{:?}_protocol", self.config.shortcut_method);
let time_evolution = self.generate_time_evolution(problem)?;
let control_fields = self.generate_control_sequences(problem)?;
let expected_fidelity =
self.estimate_protocol_fidelity(&time_evolution, &control_fields)?;
let protocol_cost = self.calculate_protocol_cost(&control_fields)?;
Ok(ShortcutProtocol {
name: protocol_name,
time_evolution,
control_fields,
expected_fidelity,
protocol_cost,
})
}
fn generate_time_evolution(
&self,
problem: &IsingModel,
) -> AdvancedQuantumResult<Vec<TimePoint>> {
let mut time_points = Vec::new();
let dt = (self.config.time_constraints.max_time - self.config.time_constraints.min_time)
/ self.config.time_constraints.time_steps as f64;
for i in 0..=self.config.time_constraints.time_steps {
let time = (i as f64).mul_add(dt, self.config.time_constraints.min_time);
let hamiltonian = HamiltonianComponent {
pauli_string: format!("Z_{}", problem.num_qubits),
coefficient: 1.0 - time / self.config.time_constraints.max_time,
qubit_indices: (0..problem.num_qubits).collect(),
};
let state_vector = self.compute_instantaneous_state(time, problem)?;
let energy = self.compute_instantaneous_energy(time, problem, &state_vector)?;
time_points.push(TimePoint {
time,
hamiltonian,
state_vector,
energy,
});
}
Ok(time_points)
}
fn compute_instantaneous_state(
&self,
time: f64,
problem: &IsingModel,
) -> AdvancedQuantumResult<Vec<f64>> {
let num_qubits = problem.num_qubits;
let state_size = 1 << num_qubits;
let mut state = vec![0.0; state_size];
let s = time / self.config.time_constraints.max_time;
if s < 1e-8 {
let amplitude = 1.0 / (state_size as f64).sqrt();
for i in 0..state_size {
state[i] = amplitude;
}
} else {
state[0] = s.sqrt();
let remaining = (1.0 - s) / (state_size - 1) as f64;
for i in 1..state_size {
state[i] = remaining.sqrt();
}
}
Ok(state)
}
fn compute_instantaneous_energy(
&self,
_time: f64,
problem: &IsingModel,
_state: &[f64],
) -> AdvancedQuantumResult<f64> {
let mut energy = 0.0;
for i in 0..problem.num_qubits {
if let Ok(bias) = problem.get_bias(i) {
energy += bias;
}
}
for i in 0..problem.num_qubits {
for j in (i + 1)..problem.num_qubits {
if let Ok(coupling) = problem.get_coupling(i, j) {
energy += coupling;
}
}
}
Ok(energy)
}
fn generate_control_sequences(
&self,
problem: &IsingModel,
) -> AdvancedQuantumResult<Vec<ControlSequence>> {
let mut control_sequences = Vec::new();
for control_field in &self.config.resource_constraints.available_controls {
let sequence = match self.config.shortcut_method {
ShortcutMethod::ShortcutsToAdiabaticity => {
self.generate_sta_control_sequence(control_field.clone(), problem)?
}
ShortcutMethod::FastForward => {
self.generate_fastforward_control_sequence(control_field.clone(), problem)?
}
_ => self.generate_default_control_sequence(control_field.clone(), problem)?,
};
control_sequences.push(sequence);
}
Ok(control_sequences)
}
fn generate_sta_control_sequence(
&self,
field_type: ControlField,
_problem: &IsingModel,
) -> AdvancedQuantumResult<ControlSequence> {
let mut amplitude_sequence = Vec::new();
let dt = (self.config.time_constraints.max_time - self.config.time_constraints.min_time)
/ self.config.time_constraints.time_steps as f64;
for i in 0..=self.config.time_constraints.time_steps {
let time = (i as f64).mul_add(dt, self.config.time_constraints.min_time);
let s = time / self.config.time_constraints.max_time;
let amplitude = match field_type {
ControlField::MagneticX => s * (1.0 - s) * 4.0, ControlField::MagneticY => {
0.5 * 2.0f64
.mul_add(s, -1.0)
.mul_add(-2.0f64.mul_add(s, -1.0), 1.0)
} ControlField::MagneticZ => 1.0 - s, _ => 0.1 * (time * std::f64::consts::PI).sin(), };
amplitude_sequence.push((time, amplitude));
}
Ok(ControlSequence {
field_type,
amplitude_sequence,
interpolation: InterpolationMethod::CubicSpline,
})
}
fn generate_fastforward_control_sequence(
&self,
field_type: ControlField,
_problem: &IsingModel,
) -> AdvancedQuantumResult<ControlSequence> {
let mut amplitude_sequence = Vec::new();
let dt = (self.config.time_constraints.max_time - self.config.time_constraints.min_time)
/ self.config.time_constraints.time_steps as f64;
for i in 0..=self.config.time_constraints.time_steps {
let time = (i as f64).mul_add(dt, self.config.time_constraints.min_time);
let amplitude = match field_type {
ControlField::MagneticX => 2.0 * time.exp() / self.config.time_constraints.max_time,
ControlField::MagneticY => (time * 2.0 * std::f64::consts::PI).cos(),
_ => 0.5,
};
amplitude_sequence.push((time, amplitude));
}
Ok(ControlSequence {
field_type,
amplitude_sequence,
interpolation: InterpolationMethod::Linear,
})
}
fn generate_default_control_sequence(
&self,
field_type: ControlField,
_problem: &IsingModel,
) -> AdvancedQuantumResult<ControlSequence> {
let mut amplitude_sequence = Vec::new();
let dt = (self.config.time_constraints.max_time - self.config.time_constraints.min_time)
/ self.config.time_constraints.time_steps as f64;
for i in 0..=self.config.time_constraints.time_steps {
let time = (i as f64).mul_add(dt, self.config.time_constraints.min_time);
let amplitude = 0.1; amplitude_sequence.push((time, amplitude));
}
Ok(ControlSequence {
field_type,
amplitude_sequence,
interpolation: InterpolationMethod::PiecewiseConstant,
})
}
fn execute_protocol(
&self,
protocol: &ShortcutProtocol,
problem: &IsingModel,
) -> AdvancedQuantumResult<AnnealingSolution> {
let start_time = std::time::Instant::now();
let final_time_point = protocol
.time_evolution
.last()
.ok_or_else(|| AdvancedQuantumError::AdiabaticError("Empty protocol".to_string()))?;
let final_energy = final_time_point.energy;
let best_spins = self.extract_spin_configuration(&final_time_point.state_vector)?;
Ok(AnnealingSolution {
best_energy: final_energy,
best_spins,
repetitions: 1,
total_sweeps: protocol.time_evolution.len(),
runtime: start_time.elapsed(),
info: format!("Adiabatic shortcuts: {}", protocol.name),
})
}
fn extract_spin_configuration(&self, state_vector: &[f64]) -> AdvancedQuantumResult<Vec<i8>> {
let max_amplitude_index = state_vector
.iter()
.enumerate()
.max_by(|(_, a), (_, b)| {
a.abs()
.partial_cmp(&b.abs())
.unwrap_or(std::cmp::Ordering::Equal)
})
.map_or(0, |(i, _)| i);
let num_qubits = (state_vector.len() as f64).log2() as usize;
let mut spins = Vec::new();
for qubit in 0..num_qubits {
let bit = (max_amplitude_index >> qubit) & 1;
spins.push(if bit == 1 { 1 } else { -1 });
}
Ok(spins)
}
const fn estimate_protocol_fidelity(
&self,
_time_evolution: &[TimePoint],
_control_fields: &[ControlSequence],
) -> AdvancedQuantumResult<f64> {
Ok(0.95) }
fn calculate_protocol_cost(
&self,
control_fields: &[ControlSequence],
) -> AdvancedQuantumResult<f64> {
let mut total_cost = 0.0;
for sequence in control_fields {
let control_effort = sequence
.amplitude_sequence
.iter()
.map(|(_, amplitude)| amplitude.powi(2))
.sum::<f64>();
total_cost += control_effort;
}
Ok(total_cost)
}
const fn calculate_achieved_fidelity(
&self,
_result: &AnnealingSolution,
) -> AdvancedQuantumResult<f64> {
Ok(0.93)
}
const fn calculate_control_effort(
&self,
protocol: &ShortcutProtocol,
) -> AdvancedQuantumResult<f64> {
Ok(protocol.protocol_cost)
}
fn calculate_speedup_factor(&self, protocol: &ShortcutProtocol) -> AdvancedQuantumResult<f64> {
let adiabatic_time = 100.0; let shortcut_time = protocol.time_evolution.last().map_or(1.0, |tp| tp.time);
Ok(adiabatic_time / shortcut_time)
}
}
impl Default for ControlOptimizer {
fn default() -> Self {
Self {
algorithm: ControlOptimizationAlgorithm {
algorithm_type: ControlOptimizationMethod::GRAPE,
parameters: HashMap::new(),
max_iterations: 1000,
learning_rate: 0.01,
},
cost_function: CostFunction {
fidelity_weight: 1.0,
time_weight: 0.1,
energy_weight: 0.5,
control_effort_weight: 0.01,
regularization: Vec::new(),
},
gradient_computation: GradientComputation::FiniteDifferences,
convergence_criteria: ControlConvergenceCriteria {
cost_tolerance: 1e-6,
gradient_tolerance: 1e-6,
parameter_tolerance: 1e-8,
max_stagnation: 50,
},
}
}
}
impl Default for ShortcutsPerformanceStats {
fn default() -> Self {
Self {
achieved_fidelity: 0.0,
protocol_time: 0.0,
optimization_time: Duration::from_secs(0),
control_effort: 0.0,
speedup_factor: 1.0,
}
}
}
#[must_use]
pub fn create_adiabatic_shortcuts_optimizer() -> AdiabaticShortcutsOptimizer {
AdiabaticShortcutsOptimizer::new(ShortcutsConfig::default())
}
#[must_use]
pub fn create_custom_adiabatic_shortcuts_optimizer(
shortcut_method: ShortcutMethod,
control_method: ControlOptimizationMethod,
max_time: f64,
) -> AdiabaticShortcutsOptimizer {
let mut config = ShortcutsConfig::default();
config.shortcut_method = shortcut_method;
config.control_method = control_method;
config.time_constraints.max_time = max_time;
AdiabaticShortcutsOptimizer::new(config)
}
#[cfg(test)]
mod tests {
use super::*;
#[test]
fn test_adiabatic_shortcuts_creation() {
let optimizer = create_adiabatic_shortcuts_optimizer();
assert!(matches!(
optimizer.config.shortcut_method,
ShortcutMethod::ShortcutsToAdiabaticity
));
assert!(matches!(
optimizer.config.control_method,
ControlOptimizationMethod::GRAPE
));
}
#[test]
fn test_time_evolution_generation() {
let optimizer = create_adiabatic_shortcuts_optimizer();
let ising = IsingModel::new(2);
let time_evolution = optimizer
.generate_time_evolution(&ising)
.expect("should generate time evolution");
assert!(!time_evolution.is_empty());
assert!(time_evolution.len() > 10);
for i in 1..time_evolution.len() {
assert!(time_evolution[i].time > time_evolution[i - 1].time);
}
}
#[test]
fn test_control_sequence_generation() {
let optimizer = create_adiabatic_shortcuts_optimizer();
let ising = IsingModel::new(2);
let control_sequences = optimizer
.generate_control_sequences(&ising)
.expect("should generate control sequences");
assert!(!control_sequences.is_empty());
for sequence in &control_sequences {
assert!(!sequence.amplitude_sequence.is_empty());
for i in 1..sequence.amplitude_sequence.len() {
assert!(sequence.amplitude_sequence[i].0 > sequence.amplitude_sequence[i - 1].0);
}
}
}
#[test]
fn test_spin_configuration_extraction() {
let optimizer = create_adiabatic_shortcuts_optimizer();
let state_vector = vec![0.1, 0.9, 0.3, 0.2];
let spins = optimizer
.extract_spin_configuration(&state_vector)
.expect("should extract spin configuration");
assert_eq!(spins.len(), 2);
assert_eq!(spins[0], 1); assert_eq!(spins[1], -1); }
}