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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_854_126_6.json","label":"wills_parent_paired_checks_854_126_6","N":167,"d":6,"d_is_exact":true,"origin":"Wills parent + disjoint logical-pair checks","provenance":"gamma frontier release record wills_parent_paired_checks_854_126_6 (source catalogue id wills_parent_paired_checks_854_126_6); construction: Wills parent + disjoint logical-pair checks; matrix a1bd53ac1f7fd1a9...; the release states d=6 (exact), gamma=1.0680280024759967 (exact)","notes":"matrix gamma_frontier_release/matrices/a1bd53ac1f7fd1a96bd16cd7ea1fb5b90eea08942ed67989551a9e5fc7f57395.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"}]}