Quantum LDPC codes with design rate 1/5 and good performance below 1000 physical qubits

Yifan Hong · 2026 · arXiv 2026

| 编号 QE160 | 主题 qLDPC 码 | 链接 arXiv:2607.27644 |

摘要

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Constant-rate quantum low-density parity-check (LDPC) codes promise fault-tolerant quantum computation with constant spatial overhead in the asymptotic limit. Nonetheless, discovering finite-length code instances with good practical performance remains challenging. We introduce a new family of quantum LDPC codes with design rate $1/5$ and check weight $9$ that approaches the teraquop memory regime per qubit-round with several hundred physical qubits, under idling-free circuit-level noise of strength $0.1$ and GPU-accelerated Relay-belief-propagation (Relay-BP) decoding with average latencies around 1-2 ms, a regime relevant to trapped-ion and neutral-atom processors. The construction invol

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