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| """Phase 4: Topological compilation (theoretical only). | |
| Compile quantum circuits to Fibonacci anyon braids. | |
| Generate braid sequences and resource estimates. | |
| NO PHYSICAL HARDWARE CONSTRUCTION. | |
| Outputs: | |
| - Braid word sequences | |
| - Total braid count & depth | |
| - Adiabatic schedule (time) | |
| - Theoretical feasibility assessment | |
| """ | |
| import json | |
| from datetime import datetime | |
| from pathlib import Path | |
| def generate_braid_compilation(): | |
| """Compile quantum circuit to braids (theoretical).""" | |
| print("[Phase 4] Topological Compilation (Theory Only)") | |
| print("=" * 60) | |
| print("\n1. Compilation configurations:") | |
| configs = [ | |
| { | |
| "circuit": "SHA-520-4 (16-bit preimage)", | |
| "logical_qubits": 30, | |
| "t_gates": 8000, | |
| "clifford_gates": 2000, | |
| }, | |
| { | |
| "circuit": "SHA-520-8 (24-bit preimage)", | |
| "logical_qubits": 50, | |
| "t_gates": 16000, | |
| "clifford_gates": 4000, | |
| }, | |
| ] | |
| results = [] | |
| for cfg in configs: | |
| physical_anyons = cfg['logical_qubits'] * 4 # 4-τ encoding | |
| # Solovay-Kitaev: ~300 braids per T-gate for 10^-10 precision | |
| t_braids = cfg['t_gates'] * 300 | |
| clifford_braids = cfg['clifford_gates'] * 10 # Clifford ≈ exact braids | |
| total_braids = t_braids + clifford_braids | |
| # Adiabatic time: ~10ns per braid | |
| total_time_ns = total_braids * 10 | |
| total_time_sec = total_time_ns * 1e-9 | |
| result = { | |
| "circuit": cfg['circuit'], | |
| "logical_qubits": cfg['logical_qubits'], | |
| "physical_anyons": physical_anyons, | |
| "t_gates": cfg['t_gates'], | |
| "clifford_gates": cfg['clifford_gates'], | |
| "t_braids": t_braids, | |
| "clifford_braids": clifford_braids, | |
| "total_braids": total_braids, | |
| "total_time_ns": total_time_ns, | |
| "total_time_sec": total_time_sec, | |
| "feasibility": "THEORETICAL" if physical_anyons > 10000 else "SIMULABLE" | |
| } | |
| results.append(result) | |
| print(f"\n {cfg['circuit']}:") | |
| print(f" Physical anyons: {physical_anyons}") | |
| print(f" Total braids: {total_braids:,}") | |
| print(f" Time: {total_time_sec:.2e} seconds") | |
| print(f" Status: {result['feasibility']}") | |
| # Generate report | |
| report = { | |
| "timestamp": datetime.now().isoformat(), | |
| "phase": "4", | |
| "status": "THEORETICAL", | |
| "warning": "NO PHYSICAL HARDWARE CONSTRUCTED", | |
| "compilations": results, | |
| "total_anyons_max": max(r['physical_anyons'] for r in results), | |
| "scalability_limit": "~10^4-10^5 anyons (topological advantage lost)", | |
| } | |
| print("\n2. Summary:") | |
| print(f" Total configurations: {len(results)}") | |
| print(f" Max physical anyons: {report['total_anyons_max']:,}") | |
| print(f" Scalability: {report['scalability_limit']}") | |
| output_file = Path(__file__).with_name("phase4_report.json") | |
| with output_file.open("w", encoding="utf-8") as f: | |
| json.dump(report, f, indent=2) | |
| print(f"\n OK Report saved to {output_file}") | |
| return report | |
| if __name__ == "__main__": | |
| generate_braid_compilation() | |