| """ |
| Position-Aware Trajectory Model |
| |
| Incorporates the finding that early flips hurt more than late flips. |
| Tests various position-weighted strategies. |
| """ |
|
|
| import json |
| import numpy as np |
| from pathlib import Path |
| from sklearn.model_selection import train_test_split |
| from sklearn.ensemble import GradientBoostingClassifier |
| from sklearn.metrics import accuracy_score, roc_auc_score, brier_score_loss |
| from scipy.optimize import minimize |
| import warnings |
| warnings.filterwarnings('ignore') |
|
|
|
|
| def parse_trajectory(bitstring, n_meas, expect='0'): |
| if len(bitstring) < n_meas + 1: |
| return None |
|
|
| final = bitstring[0] |
| intermediate = bitstring[1:n_meas+1] |
|
|
| n_flips = intermediate.count('1') |
| flip_positions = [i for i, b in enumerate(intermediate) if b == '1'] |
|
|
| correct = 1 if final == expect else 0 |
|
|
| return { |
| 'n_flips': n_flips, |
| 'n_meas': n_meas, |
| 'flip_positions': flip_positions, |
| 'correct': correct, |
| 'intermediate': intermediate, |
| } |
|
|
|
|
| def build_position_features(traj): |
| """ |
| Build rich position-aware features. |
| """ |
| n_flips = traj['n_flips'] |
| n_meas = traj['n_meas'] |
| positions = traj['flip_positions'] |
|
|
| features = { |
| 'n_flips': n_flips, |
| 'n_meas': n_meas, |
| 'flip_rate': n_flips / n_meas if n_meas > 0 else 0, |
| } |
|
|
| for i in range(16): |
| features[f'pos_{i}'] = 1 if i in positions else 0 |
|
|
| if n_meas > 0: |
| q1 = n_meas // 4 |
| q2 = n_meas // 2 |
| q3 = 3 * n_meas // 4 |
|
|
| features['flips_q1'] = sum(1 for p in positions if p < q1) |
| features['flips_q2'] = sum(1 for p in positions if q1 <= p < q2) |
| features['flips_q3'] = sum(1 for p in positions if q2 <= p < q3) |
| features['flips_q4'] = sum(1 for p in positions if p >= q3) |
| else: |
| features['flips_q1'] = 0 |
| features['flips_q2'] = 0 |
| features['flips_q3'] = 0 |
| features['flips_q4'] = 0 |
|
|
| if positions: |
| features['first_flip_pos'] = min(positions) |
| features['last_flip_pos'] = max(positions) |
| features['flip_span'] = max(positions) - min(positions) |
| features['mean_flip_pos'] = np.mean(positions) |
| else: |
| features['first_flip_pos'] = n_meas |
| features['last_flip_pos'] = -1 |
| features['flip_span'] = 0 |
| features['mean_flip_pos'] = n_meas / 2 |
|
|
| if n_meas > 0 and positions: |
| features['weighted_flip_sum'] = sum((n_meas - p) / n_meas for p in positions) |
| else: |
| features['weighted_flip_sum'] = 0 |
|
|
| features['has_pos0_flip'] = 1 if 0 in positions else 0 |
| features['has_pos1_flip'] = 1 if 1 in positions else 0 |
|
|
| if n_flips >= 2 and len(positions) >= 2: |
| sorted_pos = sorted(positions) |
| gaps = [sorted_pos[i+1] - sorted_pos[i] for i in range(len(sorted_pos)-1)] |
| features['mean_gap'] = np.mean(gaps) |
| features['consecutive_flips'] = sum(1 for g in gaps if g == 1) |
| else: |
| features['mean_gap'] = 0 |
| features['consecutive_flips'] = 0 |
|
|
| return features |
|
|
|
|
| def load_data_with_positions(): |
| """Load data with rich position features.""" |
| samples = [] |
|
|
| results_dir = Path('D:/qiskit-zenodragging/results') |
|
|
| traj_file = results_dir / 'trajectory_estimation' / 'trajectory_estimation.json' |
| if traj_file.exists(): |
| with open(traj_file) as f: |
| data = json.load(f) |
|
|
| for circuit_name, circuit_data in data['data'].items(): |
| n_meas = circuit_data['n_meas'] |
|
|
| if 'freeze' in circuit_name or 'x_freeze' in circuit_name: |
| expect = '0' |
| elif 'drag' in circuit_name: |
| expect = '1' |
| else: |
| expect = '0' |
|
|
| for bs in circuit_data['bitstrings']: |
| traj = parse_trajectory(bs, n_meas, expect) |
| if traj: |
| features = build_position_features(traj) |
| features['circuit'] = circuit_name |
| features['correct'] = traj['correct'] |
| features['flip_positions'] = traj['flip_positions'] |
| samples.append(features) |
|
|
| vqe_file = results_dir / 'vqe_trajectory_validation' / 'vqe_trajectory_validation.json' |
| if vqe_file.exists(): |
| with open(vqe_file) as f: |
| data = json.load(f) |
|
|
| for result_name, result_data in data.get('results', {}).items(): |
| if 'bitstrings' not in result_data: |
| continue |
| if result_data.get('type') != 'zeno': |
| continue |
|
|
| n_meas = 8 |
| true_z = result_data.get('true_z', 0) |
| expect = '0' if true_z >= 0 else '1' |
|
|
| for bs in result_data['bitstrings']: |
| traj = parse_trajectory(bs, n_meas, expect) |
| if traj: |
| features = build_position_features(traj) |
| features['circuit'] = result_name |
| features['correct'] = traj['correct'] |
| features['flip_positions'] = traj['flip_positions'] |
| samples.append(features) |
|
|
| return samples |
|
|
|
|
| def position_weighted_score(positions, n_meas, weights): |
| """ |
| Compute position-weighted penalty score. |
| weights[i] = penalty for flip at position i |
| """ |
| if not positions: |
| return 0 |
| return sum(weights[min(p, len(weights)-1)] for p in positions) |
|
|
|
|
| def evaluate_weighting_fn(samples, weight_fn): |
| """Evaluate a weighting function on samples.""" |
| total_weight = 0 |
| weighted_correct = 0 |
|
|
| for s in samples: |
| w = weight_fn(s) |
| total_weight += w |
| weighted_correct += w * s['correct'] |
|
|
| if total_weight == 0: |
| return {'fidelity': 0, 'utilization': 0, 'effective_yield': 0} |
|
|
| fidelity = weighted_correct / total_weight |
| utilization = total_weight / len(samples) |
| effective_yield = fidelity * utilization |
|
|
| return { |
| 'fidelity': fidelity, |
| 'utilization': utilization, |
| 'effective_yield': effective_yield, |
| } |
|
|
|
|
| def optimize_position_weights(train_samples, n_positions=8): |
| """ |
| Learn optimal position weights via optimization. |
| """ |
| def objective(params): |
| decay = params[0] |
| pos_weights = params[1:n_positions+1] |
|
|
| def weight_fn(s): |
| n_flips = s['n_flips'] |
| positions = s['flip_positions'] |
| n_meas = s['n_meas'] |
|
|
| if n_flips == 0: |
| return 1.0 |
|
|
| base_weight = np.exp(-decay * n_flips) |
|
|
| pos_penalty = 0 |
| for p in positions: |
| if p < n_positions: |
| pos_penalty += pos_weights[p] |
| else: |
| pos_penalty += pos_weights[-1] |
|
|
| return base_weight * np.exp(-pos_penalty) |
|
|
| result = evaluate_weighting_fn(train_samples, weight_fn) |
| return -result['effective_yield'] |
|
|
| x0 = [0.5] + [0.1] * n_positions |
|
|
| bounds = [(0.01, 2.0)] + [(0.0, 1.0)] * n_positions |
|
|
| result = minimize(objective, x0, method='L-BFGS-B', bounds=bounds) |
|
|
| return result.x |
|
|
|
|
| def main(): |
| print("=" * 70) |
| print("POSITION-AWARE TRAJECTORY MODEL") |
| print("=" * 70) |
|
|
| print("\n[1/6] Loading data with position features...") |
| samples = load_data_with_positions() |
| print(f" Samples: {len(samples)}") |
|
|
| feature_cols = [k for k in samples[0].keys() |
| if k not in ['circuit', 'correct', 'flip_positions']] |
| print(f" Features: {len(feature_cols)}") |
|
|
| print("\n[2/6] Train/test split...") |
| train_samples, test_samples = train_test_split( |
| samples, test_size=0.2, random_state=42, |
| stratify=[s['correct'] for s in samples] |
| ) |
| print(f" Train: {len(train_samples)}, Test: {len(test_samples)}") |
|
|
| print("\n[3/6] Analyzing position impact...") |
|
|
| position_fidelity = {} |
| for pos in range(16): |
| with_flip = [s for s in samples if pos in s['flip_positions']] |
| without_flip = [s for s in samples if pos not in s['flip_positions']] |
|
|
| if with_flip and without_flip: |
| fid_with = np.mean([s['correct'] for s in with_flip]) |
| fid_without = np.mean([s['correct'] for s in without_flip]) |
| impact = fid_without - fid_with |
| position_fidelity[pos] = { |
| 'with_flip': fid_with, |
| 'without_flip': fid_without, |
| 'impact': impact, |
| 'n_with': len(with_flip), |
| } |
|
|
| print("\n Position impact on fidelity:") |
| print(" Pos | With Flip | Without | Impact | N") |
| print(" " + "-" * 45) |
| for pos in sorted(position_fidelity.keys()): |
| pf = position_fidelity[pos] |
| if pf['n_with'] > 100: |
| print(f" {pos:2d} | {pf['with_flip']:5.1%} | {pf['without_flip']:5.1%} | {pf['impact']:+5.1%} | {pf['n_with']}") |
|
|
| print("\n[4/6] Optimizing position weights...") |
| optimal_params = optimize_position_weights(train_samples, n_positions=8) |
| optimal_decay = optimal_params[0] |
| optimal_pos_weights = optimal_params[1:9] |
|
|
| print(f"\n Optimal decay: {optimal_decay:.3f}") |
| print(" Optimal position weights:") |
| for i, w in enumerate(optimal_pos_weights): |
| print(f" pos_{i}: {w:.3f}") |
|
|
| print("\n[5/6] Training gradient boosting model...") |
|
|
| X_train = np.array([[s[f] for f in feature_cols] for s in train_samples]) |
| y_train = np.array([s['correct'] for s in train_samples]) |
| X_test = np.array([[s[f] for f in feature_cols] for s in test_samples]) |
| y_test = np.array([s['correct'] for s in test_samples]) |
|
|
| model = GradientBoostingClassifier(n_estimators=200, max_depth=6, random_state=42) |
| model.fit(X_train, y_train) |
|
|
| y_proba = model.predict_proba(X_test)[:, 1] |
|
|
| print(f" Accuracy: {accuracy_score(y_test, (y_proba > 0.5).astype(int)):.3f}") |
| print(f" AUC: {roc_auc_score(y_test, y_proba):.3f}") |
|
|
| print("\n[6/6] Comparing all strategies...") |
|
|
| def hard_weight(s): |
| return 1.0 if s['n_flips'] == 0 else 0.0 |
|
|
| def soft_k2_weight(s): |
| return 1.0 if s['n_flips'] <= 2 else 0.0 |
|
|
| def exp_weight(s): |
| return np.exp(-s['n_flips']) |
|
|
| def optimal_position_weight(s): |
| if s['n_flips'] == 0: |
| return 1.0 |
| base = np.exp(-optimal_decay * s['n_flips']) |
| pos_penalty = sum(optimal_pos_weights[min(p, 7)] for p in s['flip_positions']) |
| return base * np.exp(-pos_penalty) |
|
|
| def linear_position_weight(s): |
| if s['n_flips'] == 0: |
| return 1.0 |
| n_meas = s['n_meas'] |
| penalty = sum((n_meas - p) / n_meas for p in s['flip_positions']) |
| return np.exp(-0.5 * penalty) |
|
|
| def early_penalty_weight(s): |
| if s['n_flips'] == 0: |
| return 1.0 |
| early_flips = sum(1 for p in s['flip_positions'] if p < s['n_meas'] // 2) |
| late_flips = s['n_flips'] - early_flips |
| return np.exp(-1.5 * early_flips - 0.3 * late_flips) |
|
|
| def threshold_position_weight(s): |
| if s['n_flips'] == 0: |
| return 1.0 |
| if s['n_flips'] > 3: |
| return 0.0 |
| if 0 in s['flip_positions']: |
| if s['n_flips'] > 1: |
| return 0.0 |
| return 0.5 |
| if s['n_flips'] <= 2: |
| return 1.0 |
| return 0.3 |
|
|
| for i, s in enumerate(test_samples): |
| s['model_proba'] = y_proba[i] |
|
|
| def model_weight(s): |
| return s['model_proba'] |
|
|
| strategies = { |
| 'Hard (k=0)': hard_weight, |
| 'Soft (k<=2)': soft_k2_weight, |
| 'Exp(-n)': exp_weight, |
| 'Learned Position': optimal_position_weight, |
| 'Linear Position': linear_position_weight, |
| 'Early Penalty': early_penalty_weight, |
| 'Threshold+Position': threshold_position_weight, |
| 'GBM Model': model_weight, |
| } |
|
|
| print("\n" + "=" * 70) |
| print("RESULTS") |
| print("=" * 70) |
|
|
| print("\n{:<20} | {:>10} | {:>10} | {:>12}".format( |
| "Strategy", "Fidelity", "Util.", "Eff. Yield")) |
| print("-" * 58) |
|
|
| results = {} |
| for name, weight_fn in strategies.items(): |
| r = evaluate_weighting_fn(test_samples, weight_fn) |
| results[name] = r |
| print("{:<20} | {:>9.1%} | {:>9.1%} | {:>11.1%}".format( |
| name, r['fidelity'], r['utilization'], r['effective_yield'])) |
|
|
| best_name = max(results.keys(), key=lambda k: results[k]['effective_yield']) |
| best_yield = results[best_name]['effective_yield'] |
| exp_yield = results['Exp(-n)']['effective_yield'] |
|
|
| print("\n" + "=" * 70) |
| print("SUMMARY") |
| print("=" * 70) |
|
|
| print(f"\nBest strategy: {best_name}") |
| print(f" Effective yield: {best_yield:.1%}") |
|
|
| improvement = (best_yield - exp_yield) / exp_yield * 100 |
| print(f"\nImprovement over Exp(-n): {improvement:+.1f}%") |
|
|
| soft_yield = results['Soft (k<=2)']['effective_yield'] |
| improvement_soft = (best_yield - soft_yield) / soft_yield * 100 |
| print(f"Improvement over Soft (k<=2): {improvement_soft:+.1f}%") |
|
|
| print("\n" + "-" * 70) |
| print("KEY INSIGHT") |
| print("-" * 70) |
| print(""" |
| Position 0 (first measurement) has outsized impact. |
| A flip at position 0 corrupts ALL subsequent evolution. |
| A flip at position N-1 only affects the final readout. |
| |
| Optimal strategy: threshold + position awareness |
| - Accept k<=2 flips IF none at position 0 |
| - Heavily penalize position 0 flips |
| - Lightly penalize late flips |
| """) |
|
|
| output = { |
| 'dataset_size': len(samples), |
| 'position_impact': {str(k): v for k, v in position_fidelity.items()}, |
| 'optimal_decay': float(optimal_decay), |
| 'optimal_position_weights': [float(w) for w in optimal_pos_weights], |
| 'results': {name: {k: float(v) for k, v in r.items()} for name, r in results.items()}, |
| 'best_strategy': best_name, |
| 'improvement_over_exp': improvement, |
| } |
|
|
| out_file = Path('D:/kishka/data/position_aware_model_results.json') |
| with open(out_file, 'w') as f: |
| json.dump(output, f, indent=2) |
|
|
| print(f"\nSaved: {out_file}") |
|
|
| return output |
|
|
|
|
| if __name__ == "__main__": |
| main() |
|
|