[\![207,\,43,\,3]\!] factory

\mathrm{S} on output 0, \mathrm{S} on output 1, \mathrm{S}^\dagger on output 2, \mathrm{S}^\dagger on output 3, \mathrm{S} on output 4, \mathrm{S} on output 5, \mathrm{S}^\dagger on output 6, \mathrm{S} on output 7, \mathrm{S}^\dagger on output 8, \mathrm{S} on output 9, \mathrm{S} on output 10, \mathrm{S} on output 11, \mathrm{S}^\dagger on output 12, \mathrm{S} on output 13, \mathrm{S} on output 14, \mathrm{S} on output 15, \mathrm{S} on output 16, \mathrm{S} on output 17, \mathrm{S} on output 18, \mathrm{S} on output 19, \mathrm{S}^\dagger on output 20, \mathrm{S} on output 21, \mathrm{S} on output 22, \mathrm{S}^\dagger on output 23, \mathrm{S} on output 24, \mathrm{S}^\dagger on output 25, \mathrm{S}^\dagger on output 26, \mathrm{S}^\dagger on output 27, \mathrm{S} on output 28, \mathrm{Z} on output 29, \mathrm{S} on output 30, \mathrm{S} on output 31, \mathrm{S} on output 32, \mathrm{S} on output 33, \mathrm{S}^\dagger on output 34, \mathrm{S} on output 35, \mathrm{S}^\dagger on output 36, \mathrm{S}^\dagger on output 37, \mathrm{S} on output 38, \mathrm{S} on output 39, \mathrm{S}^\dagger on output 40, \mathrm{S}^\dagger on output 41, \mathrm{S} on output 42, \mathrm{Z} on check 44, \mathrm{Z} on check 45, \mathrm{Z} on check 46, \mathrm{Z} on check 47, \mathrm{S}^\dagger on check 48, \mathrm{Z} on check 49, \mathrm{S} on check 50, \mathrm{S} on check 51, \mathrm{S} on check 52, \mathrm{S} on check 53, \mathrm{CZ} on output 2, check 47, \mathrm{CZ} on output 2, check 49, \mathrm{CZ} on output 2, check 50, \mathrm{CZ} on output 2, check 52, \mathrm{CZ} on output 2, check 53, \mathrm{CZ} on output 3, check 47, \mathrm{CZ} on output 3, check 49, \mathrm{CZ} on output 3, check 50, \mathrm{CZ} on output 3, check 52, \mathrm{CZ} on output 3, check 53, \mathrm{CZ} on output 6, check 47, \mathrm{CZ} on output 6, check 49, \mathrm{CZ} on output 6, check 50, \mathrm{CZ} on output 6, check 52, \mathrm{CZ} on output 6, check 53, \mathrm{CZ} on output 8, check 47, \mathrm{CZ} on output 8, check 49, \mathrm{CZ} on output 8, check 50, \mathrm{CZ} on output 8, check 52, \mathrm{CZ} on output 8, check 53, \mathrm{CZ} on output 12, check 47, \mathrm{CZ} on output 12, check 49, \mathrm{CZ} on output 12, check 50, \mathrm{CZ} on output 12, check 52, \mathrm{CZ} on output 12, check 53, \mathrm{CZ} on output 20, check 47, \mathrm{CZ} on output 20, check 49, \mathrm{CZ} on output 20, check 50, \mathrm{CZ} on output 20, check 52, \mathrm{CZ} on output 20, check 53, \mathrm{CZ} on output 23, check 47, \mathrm{CZ} on output 23, check 49, \mathrm{CZ} on output 23, check 50, \mathrm{CZ} on output 23, check 52, \mathrm{CZ} on output 23, check 53, \mathrm{CZ} on output 25, check 47, \mathrm{CZ} on output 25, check 49, \mathrm{CZ} on output 25, check 50, \mathrm{CZ} on output 25, check 52, \mathrm{CZ} on output 25, check 53, \mathrm{CZ} on output 26, check 47, \mathrm{CZ} on output 26, check 49, \mathrm{CZ} on output 26, check 50, \mathrm{CZ} on output 26, check 52, \mathrm{CZ} on output 26, check 53, \mathrm{CZ} on output 27, check 47, \mathrm{CZ} on output 27, check 49, \mathrm{CZ} on output 27, check 50, \mathrm{CZ} on output 27, check 52, \mathrm{CZ} on output 27, check 53, \mathrm{CZ} on output 29, check 47, \mathrm{CZ} on output 29, check 48, \mathrm{CZ} on output 29, check 49, \mathrm{CZ} on output 29, check 51, \mathrm{CZ} on output 34, check 47, \mathrm{CZ} on output 34, check 49, \mathrm{CZ} on output 34, check 50, \mathrm{CZ} on output 34, check 52, \mathrm{CZ} on output 34, check 53, \mathrm{CZ} on output 36, check 47, \mathrm{CZ} on output 36, check 49, \mathrm{CZ} on output 36, check 50, \mathrm{CZ} on output 36, check 52, \mathrm{CZ} on output 36, check 53, \mathrm{CZ} on output 37, check 47, \mathrm{CZ} on output 37, check 49, \mathrm{CZ} on output 37, check 50, \mathrm{CZ} on output 37, check 52, \mathrm{CZ} on output 37, check 53, \mathrm{CZ} on output 40, check 47, \mathrm{CZ} on output 40, check 49, \mathrm{CZ} on output 40, check 50, \mathrm{CZ} on output 40, check 52, \mathrm{CZ} on output 40, check 53, \mathrm{CZ} on output 41, check 47, \mathrm{CZ} on output 41, check 49, \mathrm{CZ} on output 41, check 50, \mathrm{CZ} on output 41, check 52, \mathrm{CZ} on output 41, check 53, \mathrm{CZ} on check 44, check 47, \mathrm{CZ} on check 44, check 49, \mathrm{CZ} on check 44, check 50, \mathrm{CZ} on check 44, check 52, \mathrm{CZ} on check 44, check 53, \mathrm{CZ} on check 45, check 47, \mathrm{CZ} on check 45, check 49, \mathrm{CZ} on check 45, check 50, \mathrm{CZ} on check 45, check 52, \mathrm{CZ} on check 45, check 53, \mathrm{CZ} on check 46, check 47, \mathrm{CZ} on check 46, check 49, \mathrm{CZ} on check 46, check 50, \mathrm{CZ} on check 46, check 52, \mathrm{CZ} on check 46, check 53, \mathrm{CZ} on check 47, check 51, \mathrm{CZ} on check 47, check 52, \mathrm{CZ} on check 48, check 50, \mathrm{CZ} on check 48, check 51, \mathrm{CZ} on check 48, check 52, \mathrm{CZ} on check 48, check 53, \mathrm{CZ} on check 49, check 51, \mathrm{CZ} on check 49, check 52, \mathrm{CZ} on check 50, check 53

5, 14, 15, 16, 18, 19, 21, 36, 41, 46, 51, 56, 57, 61, 62, 63, 64, 65, 68, 69, 70, 72, 73, 78, 79, 84, 85, 86, 89, 92, 93, 94, 97, 98, 99, 101, 103, 107, 108, 109, 111, 114, 115, 116, 117, 121, 122, 126, 127, 128, 132, 133, 135, 136, 137, 143, 147, 148, 150, 151, 154, 155, 161, 167, 168, 169, 173, 174, 175, 179, 180, 181, 182, 184, 187, 188, 189, 195, 197, 205

[
 {
  "regime": "AI search (gamma frontier): contraction of an existing code",
  "file": "gamma_frontier_release/protocols/paired_column_contraction_209_43_3_f0366e01f70d.json",
  "label": "paired_column_contraction_209_43_3_f0366e01f70d",
  "N": 54,
  "d": 3,
  "d_is_exact": true,
  "origin": "Existing triorthogonal code with physical paired-column contraction",
  "provenance": "gamma frontier release record paired_column_contraction_209_43_3_f0366e01f70d (source catalogue id paired_column_contraction_209_43_3_f0366e01f70d); construction: Existing triorthogonal code with physical paired-column contraction; matrix f0366e01f70d57e9...; the release states d=3 (exact), gamma=1.4392103133928338 (exact); the release matrix has 209 columns of which 2 are a repeated pair -- equal columns cancel to a diagonal Clifford and deposit nothing, so they are deleted here and this circuit is the reduced one, with 207 injections for the same gate and distance",
  "notes": "matrix gamma_frontier_release/matrices/f0366e01f70d57e99b3423bf92da88dab5aee703589ce8c965d5d2ae6ebd0b2b.matrix"
 }
]