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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()
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