Structured Concept Evolution

LLM-guided search framework discovers new quantum LDPC code families via structured concept evolution

Researchers introduce Structured Concept Evolution (SCE), a framework pairing an LLM with an algebraic mutation grammar to discover lifted-product quantum LDPC code families. The system evolves structured algebraic specifications rather than asking the LLM to design codes from scratch, enabling discovery of both abelian and non-abelian code families competitive with standard designs like bivariate-bicycle codes. Results are achieved using lightweight models (GPT-5.4-mini and GPT-5.4-nano), suggesting LLM-guided combinatorial search can be effective for hard discrete design problems in quantum error correction.