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search (gamma frontier): from Wills parent codes"],"discovery":"AI search","strongest_claim":"built from one of Wills's parent codes (weighted Reed-Muller, restricted-light or one-heavy) by searched punctures, paired-column contractions or logical-pair checks, in the pure-T distillation-exponent release (gamma = log(n/k)/log d, n < 1000); a verified witness, not a maximum -- only the release's own frontier points are the lowest gamma it knows","sources":[{"regime":"AI search (gamma frontier): from Wills parent codes","file":"gamma_frontier_release/protocols/wills_parent_paired_checks_860_128_6.json","label":"wills_parent_paired_checks_860_128_6","N":171,"d":6,"d_is_exact":true,"origin":"Wills parent + disjoint logical-pair checks","provenance":"gamma frontier release record wills_parent_paired_checks_860_128_6 (source catalogue id wills_parent_paired_checks_860_128_6); construction: Wills parent + disjoint logical-pair checks; matrix 86514136ab2b22b1...; the release states d=6 (exact), gamma=1.063146118685577 (exact)","notes":"matrix gamma_frontier_release/matrices/86514136ab2b22b1f0f802b86b780cc9447a5224475c7e9ef2f48ad13f448f5c.matrix"}]},"references":[{"key":"jain2026symmetry","short":"Jain et al. (2026)","full":"S. P. Jain, A. Wills, and S. Singh, \"Symmetry and AI-assisted discovery of magic-state factories,\" arXiv:2610.06535 (2026).","url":"https://arxiv.org/abs/2610.06535","date":"2026-10-05"}]}