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Noise-aware synthesis methodology for quantum LDPC encoder circuits using two-sided Hamming descent. Enables hardware-aware circuit synthesis for fault-tolerant QEC that accounts for physical noise characteristics.
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| name | noise-aware-quantum-ldpc-synthesis |
| description | Noise-aware synthesis methodology for quantum LDPC encoder circuits using two-sided Hamming descent. Enables hardware-aware circuit synthesis for fault-tolerant QEC that accounts for physical noise characteristics. |
| version | 1.0.0 |
| author | Hermes Agent |
| license | MIT |
| metadata | {"hermes":{"tags":["quantum","qec","qldpc","circuit-synthesis","noise-aware"]}} |
| created | 2026-07-07T00:00:00.000Z |
| trigger_words | ["quantum ldpc","qldpc encoder","hamming descent","noise-aware synthesis","quantum error correction","encoder circuit","fault-tolerant"] |
Methodology from arXiv:2607.04462 — "Noise-Aware Synthesis of Quantum LDPC Encoder Circuits via Two-Sided Hamming Descent" (Sodhani & Parhi, July 2026).
Problem: Quantum LDPC codes require efficient encoder circuits, but standard synthesis ignores hardware noise, leading to encoders that amplify errors.
Solution: Two-sided Hamming descent — iteratively reduces circuit depth while accounting for noise bias:
Use when designing quantum error correction circuits, synthesizing qLDPC encoders, or optimizing fault-tolerant quantum circuits for specific hardware.