Large-Language-Model Discovery of Quantum LDPC Codes through Structured Concept Evolution
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 struc...
| Authors | Zidu Liu, Florian Marquardt |
|---|---|
| Primary category | quant-ph |
| Published | 23 June 2026 |
| Last updated at source | 23 June 2026 |
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