File size: 3,321 Bytes
d6f21bb | 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 | """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()
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