[\![205,\,41,\,3]\!] factory

\mathrm{S}^\dagger on output 0, \mathrm{S} on output 1, \mathrm{S}^\dagger on output 2, \mathrm{S}^\dagger on output 3, \mathrm{S}^\dagger on output 4, \mathrm{S}^\dagger on output 5, \mathrm{S} on output 6, \mathrm{S}^\dagger on output 7, \mathrm{S}^\dagger on output 8, \mathrm{S}^\dagger on output 9, \mathrm{Z} on output 10, \mathrm{S}^\dagger 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}^\dagger on output 18, \mathrm{S}^\dagger on output 19, \mathrm{S} on output 20, \mathrm{S}^\dagger on output 21, \mathrm{Z} on output 22, \mathrm{S}^\dagger on output 23, \mathrm{S}^\dagger on output 24, \mathrm{S}^\dagger on output 25, \mathrm{S} on output 26, \mathrm{S}^\dagger on output 27, \mathrm{S} on output 28, \mathrm{S} on output 29, \mathrm{S}^\dagger on output 30, \mathrm{S}^\dagger on output 32, \mathrm{S}^\dagger on output 33, \mathrm{S}^\dagger on output 34, \mathrm{S}^\dagger on output 35, \mathrm{S} on output 36, \mathrm{S} on output 37, \mathrm{S} on output 38, \mathrm{S} on output 39, \mathrm{S}^\dagger on output 40, \mathrm{Z} on check 42, \mathrm{S} on check 44, \mathrm{Z} on check 45, \mathrm{Z} on check 46, \mathrm{Z} on check 47, \mathrm{S} on check 48, \mathrm{S} on check 49, \mathrm{Z} on check 50, \mathrm{S} on check 51, \mathrm{CZ} on output 0, output 22, \mathrm{CZ} on output 0, output 31, \mathrm{CZ} on output 0, check 44, \mathrm{CZ} on output 1, output 22, \mathrm{CZ} on output 1, output 31, \mathrm{CZ} on output 1, check 44, \mathrm{CZ} on output 1, check 45, \mathrm{CZ} on output 1, check 48, \mathrm{CZ} on output 1, check 51, \mathrm{CZ} on output 2, check 45, \mathrm{CZ} on output 2, check 48, \mathrm{CZ} on output 2, check 51, \mathrm{CZ} on output 3, check 45, \mathrm{CZ} on output 3, check 48, \mathrm{CZ} on output 3, check 51, \mathrm{CZ} on output 4, check 45, \mathrm{CZ} on output 4, check 48, \mathrm{CZ} on output 4, check 51, \mathrm{CZ} on output 5, output 22, \mathrm{CZ} on output 5, output 31, \mathrm{CZ} on output 5, check 44, \mathrm{CZ} on output 6, output 22, \mathrm{CZ} on output 6, output 31, \mathrm{CZ} on output 6, check 44, \mathrm{CZ} on output 6, check 45, \mathrm{CZ} on output 6, check 48, \mathrm{CZ} on output 6, check 51, \mathrm{CZ} on output 7, check 45, \mathrm{CZ} on output 7, check 48, \mathrm{CZ} on output 7, check 51, \mathrm{CZ} on output 8, check 45, \mathrm{CZ} on output 8, check 48, \mathrm{CZ} on output 8, check 51, \mathrm{CZ} on output 9, check 45, \mathrm{CZ} on output 9, check 48, \mathrm{CZ} on output 9, check 51, \mathrm{CZ} on output 10, check 45, \mathrm{CZ} on output 10, check 49, \mathrm{CZ} on output 11, output 22, \mathrm{CZ} on output 11, output 31, \mathrm{CZ} on output 11, check 44, \mathrm{CZ} on output 12, check 45, \mathrm{CZ} on output 12, check 48, \mathrm{CZ} on output 12, check 51, \mathrm{CZ} on output 15, output 22, \mathrm{CZ} on output 15, output 31, \mathrm{CZ} on output 15, check 44, \mathrm{CZ} on output 15, check 45, \mathrm{CZ} on output 15, check 48, \mathrm{CZ} on output 15, check 51, \mathrm{CZ} on output 18, check 45, \mathrm{CZ} on output 18, check 48, \mathrm{CZ} on output 18, check 51, \mathrm{CZ} on output 19, check 45, \mathrm{CZ} on output 19, check 48, \mathrm{CZ} on output 19, check 51, \mathrm{CZ} on output 21, output 22, \mathrm{CZ} on output 21, output 31, \mathrm{CZ} on output 21, check 44, \mathrm{CZ} on output 22, output 26, \mathrm{CZ} on output 22, output 28, \mathrm{CZ} on output 22, output 31, \mathrm{CZ} on output 22, output 36, \mathrm{CZ} on output 22, output 38, \mathrm{CZ} on output 22, check 43, \mathrm{CZ} on output 22, check 46, \mathrm{CZ} on output 22, check 47, \mathrm{CZ} on output 22, check 49, \mathrm{CZ} on output 22, check 50, \mathrm{CZ} on output 23, check 45, \mathrm{CZ} on output 23, check 48, \mathrm{CZ} on output 23, check 51, \mathrm{CZ} on output 24, check 45, \mathrm{CZ} on output 24, check 48, \mathrm{CZ} on output 24, check 51, \mathrm{CZ} on output 25, check 45, \mathrm{CZ} on output 25, check 48, \mathrm{CZ} on output 25, check 51, \mathrm{CZ} on output 26, output 31, \mathrm{CZ} on output 26, check 44, \mathrm{CZ} on output 26, check 45, \mathrm{CZ} on output 26, check 48, \mathrm{CZ} on output 26, check 51, \mathrm{CZ} on output 27, check 45, \mathrm{CZ} on output 27, check 48, \mathrm{CZ} on output 27, check 51, \mathrm{CZ} on output 28, output 31, \mathrm{CZ} on output 28, check 44, \mathrm{CZ} on output 28, check 45, \mathrm{CZ} on output 28, check 48, \mathrm{CZ} on output 28, check 51, \mathrm{CZ} on output 30, check 45, \mathrm{CZ} on output 30, check 48, \mathrm{CZ} on output 30, check 51, \mathrm{CZ} on output 31, output 36, \mathrm{CZ} on output 31, output 38, \mathrm{CZ} on output 31, check 43, \mathrm{CZ} on output 31, check 45, \mathrm{CZ} on output 31, check 46, \mathrm{CZ} on output 31, check 47, \mathrm{CZ} on output 31, check 48, \mathrm{CZ} on output 31, check 49, \mathrm{CZ} on output 31, check 50, \mathrm{CZ} on output 31, check 51, \mathrm{CZ} on output 32, check 45, \mathrm{CZ} on output 32, check 48, \mathrm{CZ} on output 32, check 51, \mathrm{CZ} on output 33, check 45, \mathrm{CZ} on output 33, check 48, \mathrm{CZ} on output 33, check 51, \mathrm{CZ} on output 34, check 45, \mathrm{CZ} on output 34, check 48, \mathrm{CZ} on output 34, check 51, \mathrm{CZ} on output 35, check 45, \mathrm{CZ} on output 35, check 48, \mathrm{CZ} on output 35, check 51, \mathrm{CZ} on output 36, check 44, \mathrm{CZ} on output 36, check 45, \mathrm{CZ} on output 36, check 48, \mathrm{CZ} on output 36, check 51, \mathrm{CZ} on output 38, check 44, \mathrm{CZ} on output 38, check 45, \mathrm{CZ} on output 38, check 48, \mathrm{CZ} on output 38, check 51, \mathrm{CZ} on output 40, check 45, \mathrm{CZ} on output 40, check 48, \mathrm{CZ} on output 40, check 51, \mathrm{CZ} on check 42, check 45, \mathrm{CZ} on check 42, check 48, \mathrm{CZ} on check 42, check 51, \mathrm{CZ} on check 43, check 44, \mathrm{CZ} on check 43, check 45, \mathrm{CZ} on check 43, check 48, \mathrm{CZ} on check 43, check 51, \mathrm{CZ} on check 44, check 46, \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 48, check 49, \mathrm{CZ} on check 48, check 51, \mathrm{CZ} on check 49, check 51

6, 9, 10, 11, 15, 22, 26, 27, 38, 50, 54, 55, 59, 60, 65, 66, 67, 68, 71, 73, 74, 75, 76, 78, 79, 80, 82, 85, 87, 89, 91, 94, 95, 97, 101, 103, 104, 105, 108, 110, 111, 112, 116, 117, 118, 119, 120, 121, 127, 128, 129, 130, 131, 132, 134, 135, 136, 137, 138, 143, 145, 146, 147, 148, 153, 154, 157, 161, 164, 167, 171, 175, 183, 184, 185, 186, 190, 191, 193, 194, 196, 198, 202

[
 {
  "regime": "AI search (gamma frontier): contraction of an existing code",
  "file": "gamma_frontier_release/protocols/paired_column_contraction_207_41_3_894ef31fdffc.json",
  "label": "paired_column_contraction_207_41_3_894ef31fdffc",
  "N": 52,
  "d": 3,
  "d_is_exact": true,
  "origin": "Existing triorthogonal code with physical paired-column contraction",
  "provenance": "gamma frontier release record paired_column_contraction_207_41_3_894ef31fdffc (source catalogue id paired_column_contraction_207_41_3_894ef31fdffc); construction: Existing triorthogonal code with physical paired-column contraction; matrix 894ef31fdffc8198...; the release states d=3 (exact), gamma=1.4738108641803156 (exact); the release matrix has 207 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 205 injections for the same gate and distance",
  "notes": "matrix gamma_frontier_release/matrices/894ef31fdffc81981011bd75a566659765961a734d2bcf48b1b8871eec64f116.matrix"
 }
]