arXiv:2608.08996quant-phcs.AI2026-08

用多智能体搜索出实用的量子低密度奇偶校验码,性能领先。

Multi-agent discovery of practical quantum LDPC codes

  • 多智能体协作生成与评估编码方案,闭环优化。
  • 发现多个高率-高距离码,如[[288,16,18]](权重7)。
  • 适合量子纠错码设计者、硬件实现研究者参考。

量子低密度奇偶校验(qLDPC)码可通过稀疏奇偶校验编码多个逻辑量子比特,但有限长度实例的寻找仍具挑战性,需在满足实际约束的前提下优化性能。受人工智能代理在科学发现中进展的启发,我们构建了一个多智能体框架来发现实用的qLDPC码。该框架结合专家提案与评审、持续科学记忆、长周期可执行程序演化,以及闭环内的确定性构造与评估。程序实例化为陪集轨道平衡乘积码,涵盖自行车码、提升乘积构造及非正规子群作用。为引入实际约束,搜索限定于块长n≤400、总权重w≤10的二元CSS码。在此范围内,框架在每个权重类别中均发现领先或具有竞争力的率-距离性能,代表性实例包括:[[288,16,18]](w=7)、[[288,18,18]](w=9)、[[234,28,18]](w=10)。搜索还揭示了结构迥异的高性能构造,如[[336,12,≤24]]候选码和[[368,18,16]]码,均为真实平衡乘积码且含非正规子群作用。在通用BP-OSD解码协议下,面对码容量去极化噪声,所发现码表现出低逻辑错误率。这些结果为后续实验评估提供了硬件相关的有限长度候选,并展示结构化智能体搜索对科学发现的贡献。

原文摘要 · Abstract (English)

Quantum low-density parity-check (qLDPC) codes can encode multiple logical qubits using sparse parity checks, yet searching for useful finite-length instances remains a challenging design problem because code performance must be optimized while satisfying practical constraints. Motivated by recent advances in artificial-intelligence agents for scientific discovery, we develop a multi-agent framework for discovering practical qLDPC codes. The framework combines specialist proposal and review, persistent scientific memory, long-horizon evolution of executable programs, and deterministic construction and evaluation within a closed-loop search. These programs instantiate coset-orbit balanced-product codes, providing a search space that includes bicycle and lifted-product constructions as well as non-normal subgroup actions. To incorporate practical constraints, we restrict the search to binary CSS codes with block length $n\leq400$ and overall weight $w\leq10$. Within this regime, the framework discovers codes with leading or competitive rate--distance performance in every weight class considered, with representative instances including $[[288,16,18]]$ at $w=7$, $[[288,18,18]]$ at $w=9$, and $[[234,28,18]]$ at $w=10$. The search also uncovers structurally distinct, high-performing constructions, including a $[[336,12,\leq24]]$ candidate and a $[[368,18,16]]$ code, both of which are genuine balanced-product constructions with non-normal subgroup actions. When evaluated under code-capacity depolarizing noise using a common BP-OSD decoding protocol, the discovered codes also exhibit low logical failure rates. Together, these results provide hardware-relevant finite-length candidates for further experimental evaluation and show how structured agentic search can contribute to scientific discovery.

量子纠错多智能体编码设计机器学习

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