#![allow(clippy::unnecessary_wraps, clippy::pedantic, clippy::useless_vec)]
#![allow(unused_must_use)]
use quantrs2_core::error::QuantRS2Result;
use quantrs2_core::ml_error_mitigation::{
AdaptiveErrorMitigation, CircuitFeatures, NeuralErrorPredictor,
};
use quantrs2_core::rl_circuit_optimization::{
CircuitState, OptimizationAction, OptimizationEpisode, QLearningOptimizer,
};
fn main() -> QuantRS2Result<()> {
println!("╔═══════════════════════════════════════════════════════════════════╗");
println!("║ Machine Learning & Reinforcement Learning Quantum Optimization ║");
println!("╚═══════════════════════════════════════════════════════════════════╝\n");
demonstrate_ml_error_mitigation()?;
println!("\n{}\n", "=".repeat(70));
demonstrate_rl_circuit_optimization()?;
println!("\n{}\n", "=".repeat(70));
demonstrate_combined_approach()?;
Ok(())
}
fn demonstrate_ml_error_mitigation() -> QuantRS2Result<()> {
println!("📊 Part 1: Machine Learning-Based Error Mitigation");
println!("{}\n", "-".repeat(70));
println!("Creating neural error predictor with 8 input features and 16 hidden neurons...");
let mut predictor = NeuralErrorPredictor::new(8, 16, 0.01);
println!("\n🎯 Training Phase:");
println!("Simulating 100 training examples from quantum hardware...\n");
let training_data = vec![
(vec![10.0, 20.0, 5.0, 1.25, 0.99, 4.0, 4.0, 1.25], 0.02),
(vec![15.0, 30.0, 8.0, 1.27, 0.98, 6.0, 5.0, 1.6], 0.04),
(vec![20.0, 40.0, 12.0, 1.3, 0.97, 8.0, 6.0, 2.0], 0.06),
(vec![8.0, 16.0, 3.0, 1.2, 0.995, 3.0, 3.0, 1.0], 0.01),
(vec![25.0, 50.0, 15.0, 1.35, 0.96, 10.0, 7.0, 2.14], 0.08),
(vec![5.0, 10.0, 2.0, 1.2, 0.998, 2.0, 2.0, 1.0], 0.005),
(vec![30.0, 60.0, 20.0, 1.33, 0.95, 12.0, 8.0, 2.5], 0.10),
(vec![12.0, 24.0, 6.0, 1.25, 0.985, 5.0, 4.0, 1.5], 0.03),
];
for (epoch, (features, error_rate)) in training_data.iter().cycle().take(100).enumerate() {
predictor.train(features, *error_rate)?;
if (epoch + 1) % 25 == 0 {
let accuracy = predictor.calculate_accuracy();
println!(" Epoch {}: Accuracy = {:.2}%", epoch + 1, accuracy * 100.0);
}
}
println!("\n✅ Training Complete!");
println!(
"Final Accuracy: {:.2}%",
predictor.calculate_accuracy() * 100.0
);
println!("\n🔍 Testing Predictions:");
let test_cases = vec![
(
vec![12.0, 25.0, 7.0, 1.26, 0.987, 5.0, 4.0, 1.75],
"Medium complexity circuit",
),
(
vec![5.0, 10.0, 2.0, 1.18, 0.999, 2.0, 2.0, 0.67],
"Simple, high-fidelity circuit",
),
(
vec![35.0, 70.0, 25.0, 1.36, 0.94, 14.0, 9.0, 2.78],
"Complex, challenging circuit",
),
];
for (features, description) in test_cases {
let predicted_error = predictor.predict(&features)?;
println!(
" {}: {:.2}% predicted error rate",
description,
predicted_error * 100.0
);
}
println!("\n📈 Adaptive Error Mitigation:");
let mut adaptive_mitigation = AdaptiveErrorMitigation::new();
let circuit_features = CircuitFeatures {
depth: 15,
single_qubit_gates: 30,
two_qubit_gates: 10,
connectivity: 1.33,
average_gate_fidelity: 0.985,
measurement_count: 5,
width: 5,
entanglement_entropy: 2.0,
};
let (recommended_shots, mitigation_strength) =
adaptive_mitigation.recommend_mitigation(&circuit_features)?;
println!(" Circuit Analysis:");
println!(" - Depth: {} layers", circuit_features.depth);
println!(
" - Gates: {} (single: {}, two-qubit: {})",
circuit_features.single_qubit_gates + circuit_features.two_qubit_gates,
circuit_features.single_qubit_gates,
circuit_features.two_qubit_gates
);
println!(
" - Estimated Fidelity: {:.4}",
circuit_features.average_gate_fidelity
);
println!("\n Recommendations:");
println!(" - Shots: {recommended_shots} (adaptive allocation)");
println!(" - Mitigation Strength: {mitigation_strength:.2}x");
adaptive_mitigation.update_from_results(&circuit_features, 0.03)?;
let metrics = adaptive_mitigation.get_metrics();
println!("\n System Metrics:");
println!(" - Circuits Analyzed: {}", metrics.total_circuits);
println!(
" - Prediction Accuracy: {:.2}%",
metrics.prediction_accuracy * 100.0
);
Ok(())
}
fn demonstrate_rl_circuit_optimization() -> QuantRS2Result<()> {
println!("🤖 Part 2: Reinforcement Learning Circuit Optimization");
println!("{}\n", "-".repeat(70));
println!("Creating Q-Learning optimizer (α=0.1, γ=0.95, ε=0.3)...");
let mut optimizer = QLearningOptimizer::new(0.1, 0.95, 0.3);
println!("\n🎓 Training Phase:");
println!("Running 50 optimization episodes...\n");
for episode_num in 1..=50 {
let initial_state = CircuitState {
depth: 20 + (episode_num % 10) as usize,
gate_count: 80 + (episode_num % 20) as usize,
two_qubit_count: 25 + (episode_num % 8) as usize,
fidelity: ((episode_num % 5) as f64).mul_add(-0.01, 0.94),
qubit_count: 6,
connectivity_density: 0.5,
entanglement_measure: 0.7,
};
let mut current_state = initial_state.clone();
let mut steps = 0;
let mut total_reward = 0.0;
for _ in 0..10 {
let available_actions = vec![
OptimizationAction::MergeSingleQubitGates { gate_index: 0 },
OptimizationAction::CancelInversePairs { gate_index: 1 },
OptimizationAction::OptimizeTwoQubitGate { gate_index: 2 },
OptimizationAction::CommuteGates {
gate1_index: 0,
gate2_index: 1,
},
];
let action = optimizer.choose_action(¤t_state, &available_actions);
let new_state = CircuitState {
depth: current_state.depth.saturating_sub(1),
gate_count: current_state.gate_count.saturating_sub(2),
two_qubit_count: if matches!(
action,
OptimizationAction::OptimizeTwoQubitGate { .. }
) {
current_state.two_qubit_count.saturating_sub(1)
} else {
current_state.two_qubit_count
},
fidelity: (current_state.fidelity + 0.001).min(1.0),
qubit_count: current_state.qubit_count,
connectivity_density: current_state.connectivity_density,
entanglement_measure: current_state.entanglement_measure,
};
let reward = optimizer.calculate_reward(¤t_state, &new_state);
total_reward += reward;
optimizer.update_q_value(
¤t_state,
action,
reward,
&new_state,
&available_actions,
);
current_state = new_state;
steps += 1;
if current_state.depth <= initial_state.depth / 2 {
break; }
}
let episode = OptimizationEpisode {
initial_depth: initial_state.depth,
final_depth: current_state.depth,
initial_gate_count: initial_state.gate_count,
final_gate_count: current_state.gate_count,
reward: total_reward,
steps_taken: steps,
};
optimizer.finish_episode(episode.clone());
if episode_num % 10 == 0 {
println!(
" Episode {}: Depth {} → {} (reduced by {}), Reward: {:.2}",
episode_num,
episode.initial_depth,
episode.final_depth,
episode.initial_depth - episode.final_depth,
episode.reward
);
}
}
println!("\n✅ Training Complete!");
let stats = optimizer.get_statistics();
println!("\n📊 Optimization Statistics:");
println!(" - Total Episodes: {}", stats.total_episodes);
println!(
" - Avg Depth Improvement: {:.2} layers",
stats.average_depth_improvement
);
println!(
" - Avg Gate Reduction: {:.2} gates",
stats.average_gate_reduction
);
println!(" - Avg Reward per Episode: {:.2}", stats.average_reward);
println!(
" - Current Exploration Rate (ε): {:.3}",
stats.current_epsilon
);
println!(" - Q-Table Size: {} entries", stats.q_table_size);
println!("\n🎯 Applying Learned Policy:");
let test_state = CircuitState {
depth: 25,
gate_count: 100,
two_qubit_count: 30,
fidelity: 0.93,
qubit_count: 6,
connectivity_density: 0.5,
entanglement_measure: 0.7,
};
let test_actions = vec![
OptimizationAction::MergeSingleQubitGates { gate_index: 0 },
OptimizationAction::CancelInversePairs { gate_index: 1 },
OptimizationAction::OptimizeTwoQubitGate { gate_index: 2 },
];
let recommended_action = optimizer.choose_action(&test_state, &test_actions);
println!(
" Test Circuit: Depth={}, Gates={}, Two-Qubit={}",
test_state.depth, test_state.gate_count, test_state.two_qubit_count
);
println!(" Recommended Action: {recommended_action:?}");
Ok(())
}
fn demonstrate_combined_approach() -> QuantRS2Result<()> {
println!("🔬 Part 3: Combined ML + RL Approach");
println!("{}\n", "-".repeat(70));
println!("Integrating ML error mitigation with RL circuit optimization...\n");
let mut error_mitigator = AdaptiveErrorMitigation::new();
let mut circuit_optimizer = QLearningOptimizer::new(0.15, 0.95, 0.2);
println!("🎯 Workflow:");
println!(" 1. ML predicts error rates for circuit");
println!(" 2. RL optimizes circuit to reduce predicted errors");
println!(" 3. ML recommends mitigation strategies for optimized circuit");
println!(" 4. System learns from actual execution results\n");
let initial_features = CircuitFeatures {
depth: 22,
single_qubit_gates: 44,
two_qubit_gates: 16,
connectivity: 1.36,
average_gate_fidelity: 0.975,
measurement_count: 6,
width: 6,
entanglement_entropy: 2.67,
};
println!("📋 Initial Circuit:");
println!(" - Depth: {} layers", initial_features.depth);
println!(
" - Total Gates: {}",
initial_features.single_qubit_gates + initial_features.two_qubit_gates
);
println!(
" - Two-Qubit Gates: {} (expensive)",
initial_features.two_qubit_gates
);
let (initial_shots, initial_strength) =
error_mitigator.recommend_mitigation(&initial_features)?;
println!("\n🔮 ML Prediction (Before Optimization):");
println!(" - Recommended Shots: {initial_shots}");
println!(" - Mitigation Strength: {initial_strength:.2}x");
println!("\n🤖 RL Optimization:");
let initial_state = CircuitState::from_circuit(&[], initial_features.width);
let mut current_state = initial_state;
for step in 1..=5 {
let actions = vec![
OptimizationAction::MergeSingleQubitGates { gate_index: 0 },
OptimizationAction::OptimizeTwoQubitGate { gate_index: 1 },
];
let action = circuit_optimizer.choose_action(¤t_state, &actions);
let new_state = CircuitState {
depth: current_state.depth.saturating_sub(1),
gate_count: current_state.gate_count.saturating_sub(2),
two_qubit_count: current_state.two_qubit_count.saturating_sub(1),
fidelity: (current_state.fidelity * 1.005).min(1.0),
..current_state
};
let reward = circuit_optimizer.calculate_reward(¤t_state, &new_state);
circuit_optimizer.update_q_value(¤t_state, action, reward, &new_state, &actions);
current_state = new_state;
if step == 1 || step == 5 {
println!(
" Step {}: Depth={}, Gates={}, Fidelity={:.4}",
step, current_state.depth, current_state.gate_count, current_state.fidelity
);
}
}
let optimized_features = CircuitFeatures {
depth: current_state.depth,
single_qubit_gates: ((current_state.gate_count as f64 * 0.7) as usize),
two_qubit_gates: current_state.two_qubit_count,
connectivity: initial_features.connectivity,
average_gate_fidelity: current_state.fidelity,
measurement_count: initial_features.measurement_count,
width: initial_features.width,
entanglement_entropy: initial_features.entanglement_entropy * 0.9,
};
let (final_shots, final_strength) =
error_mitigator.recommend_mitigation(&optimized_features)?;
println!("\n🔮 ML Prediction (After Optimization):");
println!(" - Recommended Shots: {final_shots} (vs {initial_shots} before)");
println!(" - Mitigation Strength: {final_strength:.2}x (vs {initial_strength:.2}x before)");
let shot_change = if final_shots <= initial_shots {
((initial_shots - final_shots) as f64 / initial_shots as f64) * 100.0
} else {
-((final_shots - initial_shots) as f64 / initial_shots as f64) * 100.0
};
let depth_reduction = if optimized_features.depth <= initial_features.depth {
((initial_features.depth - optimized_features.depth) as f64 / initial_features.depth as f64)
* 100.0
} else {
-((optimized_features.depth - initial_features.depth) as f64
/ initial_features.depth as f64)
* 100.0
};
println!("\n📈 Overall Improvements:");
println!(
" ✓ Circuit Depth: {}{:.1}%",
if depth_reduction >= 0.0 {
"Reduced by "
} else {
"Increased by "
},
depth_reduction.abs()
);
println!(
" ✓ Required Shots: {}{:.1}%",
if shot_change >= 0.0 {
"Reduced by "
} else {
"Increased by "
},
shot_change.abs()
);
println!(
" ✓ Estimated Fidelity: Improved by {:.2}%",
(current_state.fidelity - 0.93) * 100.0
);
println!("\n💡 Benefits of Combined Approach:");
println!(" • ML provides fast error predictions without execution");
println!(" • RL learns optimal transformations from experience");
println!(" • Together they minimize both errors AND resource usage");
println!(" • Adaptive to specific hardware characteristics");
Ok(())
}