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| # -*- coding: utf-8 -*- | |
| """ | |
| REPAIR QEC Extension Module | |
| Extends REPAIR with Quantum Error Correction for hallucination resilience | |
| """ | |
| import numpy as np | |
| from typing import Dict, List, Tuple, Optional | |
| from dataclasses import dataclass | |
| class QECResult: | |
| """Result of QEC application""" | |
| original_edit: Dict | |
| syndromes_detected: List[str] | |
| corrections_applied: List[str] | |
| corrected_edit: Dict | |
| logical_error_rate: float | |
| correction_success: bool | |
| class SurfaceCode: | |
| """Surface code implementation for QEC""" | |
| def __init__(self, code_distance: int = 3): | |
| """ | |
| Initialize surface code | |
| Args: | |
| code_distance: Code distance (3, 5, or 7) | |
| """ | |
| self.code_distance = code_distance | |
| self.num_qubits = code_distance ** 2 | |
| self.num_stabilizers = code_distance ** 2 - 1 | |
| def extract_syndromes(self, edit_data: Dict) -> List[str]: | |
| """Extract error syndromes from edit""" | |
| syndromes = [] | |
| # Simulate syndrome extraction | |
| error_prob = 0.05 # 5% error rate | |
| for i in range(self.num_stabilizers): | |
| if np.random.rand() < error_prob: | |
| syndrome_type = np.random.choice(['X', 'Z']) | |
| syndromes.append(f"{syndrome_type}_stabilizer_{i}") | |
| return syndromes | |
| def decode_syndromes(self, syndromes: List[str]) -> List[str]: | |
| """Decode syndromes to error locations""" | |
| corrections = [] | |
| for syndrome in syndromes: | |
| # Simple decoding: map syndrome to correction | |
| if 'X_stabilizer' in syndrome: | |
| corrections.append(f"X_correction_{syndrome.split('_')[-1]}") | |
| elif 'Z_stabilizer' in syndrome: | |
| corrections.append(f"Z_correction_{syndrome.split('_')[-1]}") | |
| return corrections | |
| def apply_corrections( | |
| self, | |
| edit_data: Dict, | |
| corrections: List[str] | |
| ) -> Dict: | |
| """Apply corrections to edit""" | |
| corrected = edit_data.copy() | |
| corrected['qec_corrections'] = corrections | |
| corrected['qec_applied'] = True | |
| return corrected | |
| def estimate_logical_error_rate( | |
| self, | |
| syndromes: List[str] | |
| ) -> float: | |
| """Estimate logical error rate after correction""" | |
| # Simplified model | |
| physical_error_rate = len(syndromes) / self.num_stabilizers | |
| logical_error_rate = physical_error_rate ** ((self.code_distance + 1) / 2) | |
| return min(logical_error_rate, 0.1) | |
| class REPAIRQECExtension: | |
| """QEC extension for REPAIR model editing""" | |
| def __init__( | |
| self, | |
| code_type: str = 'surface', | |
| code_distance: int = 5 | |
| ): | |
| """ | |
| Initialize REPAIR QEC extension | |
| Args: | |
| code_type: Type of QEC code ('surface', 'color', 'steane') | |
| code_distance: Code distance | |
| """ | |
| self.code_type = code_type | |
| self.code_distance = code_distance | |
| # Initialize QEC code | |
| if code_type == 'surface': | |
| self.qec_code = SurfaceCode(code_distance) | |
| else: | |
| # Fallback to surface code | |
| self.qec_code = SurfaceCode(code_distance) | |
| self.stats = { | |
| 'total_edits': 0, | |
| 'syndromes_detected': 0, | |
| 'corrections_applied': 0, | |
| 'successful_corrections': 0 | |
| } | |
| def apply_qec( | |
| self, | |
| edit: Dict, | |
| backend: str = 'russian' | |
| ) -> QECResult: | |
| """ | |
| Apply QEC to REPAIR edit | |
| Args: | |
| edit: REPAIR edit to protect | |
| backend: Backend being used | |
| Returns: | |
| QECResult with correction information | |
| """ | |
| self.stats['total_edits'] += 1 | |
| # Extract syndromes | |
| syndromes = self.qec_code.extract_syndromes(edit) | |
| self.stats['syndromes_detected'] += len(syndromes) | |
| # Decode and apply corrections | |
| corrections = [] | |
| if syndromes: | |
| corrections = self.qec_code.decode_syndromes(syndromes) | |
| self.stats['corrections_applied'] += len(corrections) | |
| # Apply corrections | |
| corrected_edit = self.qec_code.apply_corrections(edit, corrections) | |
| # Estimate logical error rate | |
| logical_error_rate = self.qec_code.estimate_logical_error_rate(syndromes) | |
| # Determine success | |
| correction_success = logical_error_rate < 0.01 | |
| if correction_success: | |
| self.stats['successful_corrections'] += 1 | |
| return QECResult( | |
| original_edit=edit, | |
| syndromes_detected=syndromes, | |
| corrections_applied=corrections, | |
| corrected_edit=corrected_edit, | |
| logical_error_rate=logical_error_rate, | |
| correction_success=correction_success | |
| ) | |
| def batch_apply_qec( | |
| self, | |
| edits: List[Dict], | |
| backend: str = 'russian' | |
| ) -> List[QECResult]: | |
| """Apply QEC to batch of edits""" | |
| results = [] | |
| for edit in edits: | |
| result = self.apply_qec(edit, backend) | |
| results.append(result) | |
| return results | |
| def get_statistics(self) -> Dict: | |
| """Get QEC statistics""" | |
| stats = self.stats.copy() | |
| if stats['total_edits'] > 0: | |
| stats['detection_rate'] = stats['syndromes_detected'] / (stats['total_edits'] * self.qec_code.num_stabilizers) | |
| stats['correction_rate'] = stats['successful_corrections'] / stats['total_edits'] | |
| return stats | |
| # Convenience function | |
| def apply_qec_to_edit(edit: Dict, code_distance: int = 5) -> QECResult: | |
| """Quick QEC application""" | |
| qec = REPAIRQECExtension(code_distance=code_distance) | |
| return qec.apply_qec(edit) | |