Large-Language-Model Discovery of Quantum LDPC Codes through Structured Concept Evolution

Zidu Liu, Florian Marquardt · 2026 · arXiv 2026

| 编号 QE150 | 主题 qLDPC 码 | 链接 arXiv:2606.24808 |

摘要

摘要保留原文（英文）

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Quantum computers could outperform classical machines on important problems, but only if the errors that pervade quantum hardware can be corrected at scale. Quantum low-density parity-check (qLDPC) codes offer a promising route to this goal by combining sparse parity checks with finite encoding rate and growing distance, but their construction remains a challenging discrete design problem. Here we introduce structured concept evolution (SCE), a search framework that pairs a large language model with a structured algebraic mutation grammar to discover lifted-product code families, a class of CSS qLDPC codes. Instead of asking the LLM to design codes from first principles, SCE evolves structur

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