[\![154,\,28,\,3]\!] factory

\mathrm{S}^\dagger on output 0, \mathrm{Z} on output 2, \mathrm{S} on output 3, \mathrm{S}^\dagger on output 7, \mathrm{S}^\dagger on output 8, \mathrm{Z} on output 9, \mathrm{S} on output 10, \mathrm{S}^\dagger on output 13, \mathrm{S} on output 14, \mathrm{Z} on output 16, \mathrm{Z} on output 17, \mathrm{S}^\dagger on output 19, \mathrm{S} on output 20, \mathrm{S}^\dagger on output 21, \mathrm{S} on output 24, \mathrm{Z} on output 25, \mathrm{Z} on output 26, \mathrm{S}^\dagger on check 28, \mathrm{S}^\dagger on check 29, \mathrm{S} on check 31, \mathrm{S} on check 32, \mathrm{S}^\dagger on check 34, \mathrm{Z} on check 35, \mathrm{S}^\dagger on check 36, \mathrm{CZ} on output 0, check 35, \mathrm{CZ} on output 1, output 2, \mathrm{CZ} on output 1, output 4, \mathrm{CZ} on output 1, output 5, \mathrm{CZ} on output 1, output 6, \mathrm{CZ} on output 1, output 9, \mathrm{CZ} on output 1, output 11, \mathrm{CZ} on output 1, output 15, \mathrm{CZ} on output 1, output 17, \mathrm{CZ} on output 1, output 18, \mathrm{CZ} on output 1, output 22, \mathrm{CZ} on output 1, output 23, \mathrm{CZ} on output 1, output 25, \mathrm{CZ} on output 1, output 26, \mathrm{CZ} on output 1, output 27, \mathrm{CZ} on output 1, check 28, \mathrm{CZ} on output 1, check 29, \mathrm{CZ} on output 1, check 33, \mathrm{CZ} on output 1, check 35, \mathrm{CZ} on output 2, output 4, \mathrm{CZ} on output 2, output 5, \mathrm{CZ} on output 2, output 6, \mathrm{CZ} on output 2, output 9, \mathrm{CZ} on output 2, output 11, \mathrm{CZ} on output 2, output 15, \mathrm{CZ} on output 2, output 17, \mathrm{CZ} on output 2, output 18, \mathrm{CZ} on output 2, output 22, \mathrm{CZ} on output 2, output 23, \mathrm{CZ} on output 2, output 25, \mathrm{CZ} on output 2, output 26, \mathrm{CZ} on output 2, output 27, \mathrm{CZ} on output 2, check 28, \mathrm{CZ} on output 2, check 29, \mathrm{CZ} on output 2, check 33, \mathrm{CZ} on output 4, output 5, \mathrm{CZ} on output 4, output 6, \mathrm{CZ} on output 4, output 9, \mathrm{CZ} on output 4, output 11, \mathrm{CZ} on output 4, output 15, \mathrm{CZ} on output 4, output 17, \mathrm{CZ} on output 4, output 18, \mathrm{CZ} on output 4, output 22, \mathrm{CZ} on output 4, output 23, \mathrm{CZ} on output 4, output 25, \mathrm{CZ} on output 4, output 26, \mathrm{CZ} on output 4, output 27, \mathrm{CZ} on output 4, check 28, \mathrm{CZ} on output 4, check 29, \mathrm{CZ} on output 4, check 33, \mathrm{CZ} on output 4, check 35, \mathrm{CZ} on output 5, output 6, \mathrm{CZ} on output 5, output 9, \mathrm{CZ} on output 5, output 11, \mathrm{CZ} on output 5, output 15, \mathrm{CZ} on output 5, output 17, \mathrm{CZ} on output 5, output 18, \mathrm{CZ} on output 5, output 22, \mathrm{CZ} on output 5, output 23, \mathrm{CZ} on output 5, output 25, \mathrm{CZ} on output 5, output 26, \mathrm{CZ} on output 5, output 27, \mathrm{CZ} on output 5, check 28, \mathrm{CZ} on output 5, check 29, \mathrm{CZ} on output 5, check 33, \mathrm{CZ} on output 5, check 35, \mathrm{CZ} on output 6, output 9, \mathrm{CZ} on output 6, output 11, \mathrm{CZ} on output 6, output 15, \mathrm{CZ} on output 6, output 17, \mathrm{CZ} on output 6, output 18, \mathrm{CZ} on output 6, output 22, \mathrm{CZ} on output 6, output 23, \mathrm{CZ} on output 6, output 25, \mathrm{CZ} on output 6, output 26, \mathrm{CZ} on output 6, output 27, \mathrm{CZ} on output 6, check 28, \mathrm{CZ} on output 6, check 29, \mathrm{CZ} on output 6, check 33, \mathrm{CZ} on output 6, check 35, \mathrm{CZ} on output 7, check 35, \mathrm{CZ} on output 8, check 35, \mathrm{CZ} on output 9, output 11, \mathrm{CZ} on output 9, output 15, \mathrm{CZ} on output 9, output 17, \mathrm{CZ} on output 9, output 18, \mathrm{CZ} on output 9, output 22, \mathrm{CZ} on output 9, output 23, \mathrm{CZ} on output 9, output 25, \mathrm{CZ} on output 9, output 26, \mathrm{CZ} on output 9, output 27, \mathrm{CZ} on output 9, check 28, \mathrm{CZ} on output 9, check 29, \mathrm{CZ} on output 9, check 33, \mathrm{CZ} on output 11, output 15, \mathrm{CZ} on output 11, output 17, \mathrm{CZ} on output 11, output 18, \mathrm{CZ} on output 11, output 22, \mathrm{CZ} on output 11, output 23, \mathrm{CZ} on output 11, output 25, \mathrm{CZ} on output 11, output 26, \mathrm{CZ} on output 11, output 27, \mathrm{CZ} on output 11, check 28, \mathrm{CZ} on output 11, check 29, \mathrm{CZ} on output 11, check 33, \mathrm{CZ} on output 11, check 35, \mathrm{CZ} on output 12, check 33, \mathrm{CZ} on output 12, check 34, \mathrm{CZ} on output 13, check 35, \mathrm{CZ} on output 15, output 17, \mathrm{CZ} on output 15, output 18, \mathrm{CZ} on output 15, output 22, \mathrm{CZ} on output 15, output 23, \mathrm{CZ} on output 15, output 25, \mathrm{CZ} on output 15, output 26, \mathrm{CZ} on output 15, output 27, \mathrm{CZ} on output 15, check 28, \mathrm{CZ} on output 15, check 29, \mathrm{CZ} on output 15, check 33, \mathrm{CZ} on output 15, check 35, \mathrm{CZ} on output 16, check 31, \mathrm{CZ} on output 16, check 32, \mathrm{CZ} on output 16, check 36, \mathrm{CZ} on output 17, output 18, \mathrm{CZ} on output 17, output 22, \mathrm{CZ} on output 17, output 23, \mathrm{CZ} on output 17, output 25, \mathrm{CZ} on output 17, output 26, \mathrm{CZ} on output 17, output 27, \mathrm{CZ} on output 17, check 28, \mathrm{CZ} on output 17, check 29, \mathrm{CZ} on output 17, check 33, \mathrm{CZ} on output 18, output 22, \mathrm{CZ} on output 18, output 23, \mathrm{CZ} on output 18, output 25, \mathrm{CZ} on output 18, output 26, \mathrm{CZ} on output 18, output 27, \mathrm{CZ} on output 18, check 28, \mathrm{CZ} on output 18, check 29, \mathrm{CZ} on output 18, check 33, \mathrm{CZ} on output 18, check 35, \mathrm{CZ} on output 19, check 35, \mathrm{CZ} on output 21, check 35, \mathrm{CZ} on output 22, output 23, \mathrm{CZ} on output 22, output 25, \mathrm{CZ} on output 22, output 26, \mathrm{CZ} on output 22, output 27, \mathrm{CZ} on output 22, check 28, \mathrm{CZ} on output 22, check 29, \mathrm{CZ} on output 22, check 33, \mathrm{CZ} on output 22, check 35, \mathrm{CZ} on output 23, output 25, \mathrm{CZ} on output 23, output 26, \mathrm{CZ} on output 23, output 27, \mathrm{CZ} on output 23, check 28, \mathrm{CZ} on output 23, check 29, \mathrm{CZ} on output 23, check 33, \mathrm{CZ} on output 23, check 35, \mathrm{CZ} on output 25, output 26, \mathrm{CZ} on output 25, output 27, \mathrm{CZ} on output 25, check 28, \mathrm{CZ} on output 25, check 29, \mathrm{CZ} on output 25, check 33, \mathrm{CZ} on output 26, output 27, \mathrm{CZ} on output 26, check 28, \mathrm{CZ} on output 26, check 29, \mathrm{CZ} on output 26, check 33, \mathrm{CZ} on output 27, check 28, \mathrm{CZ} on output 27, check 29, \mathrm{CZ} on output 27, check 33, \mathrm{CZ} on output 27, check 35, \mathrm{CZ} on check 28, check 29, \mathrm{CZ} on check 28, check 33, \mathrm{CZ} on check 28, check 35, \mathrm{CZ} on check 29, check 33, \mathrm{CZ} on check 29, check 35, \mathrm{CZ} on check 31, check 32, \mathrm{CZ} on check 31, check 36, \mathrm{CZ} on check 32, check 36, \mathrm{CZ} on check 33, check 34, \mathrm{CZ} on check 35, check 36

8, 19, 23, 24, 25, 26, 35, 40, 42, 43, 44, 48, 50, 51, 52, 54, 56, 57, 58, 59, 62, 65, 66, 67, 69, 74, 76, 78, 82, 83, 85, 86, 87, 88, 89, 91, 93, 96, 97, 100, 101, 105, 106, 109, 115, 117, 118, 120, 121, 122, 123, 125, 127, 128, 129, 131, 134, 135, 136, 137, 138, 140, 142, 143, 145, 147, 149, 153

[
 {
  "regime": "AI search (gamma frontier): contraction of an existing code",
  "file": "gamma_frontier_release/protocols/paired_column_contraction_156_28_3_6b999f3a09d8.json",
  "label": "paired_column_contraction_156_28_3_6b999f3a09d8",
  "N": 37,
  "d": 3,
  "d_is_exact": true,
  "origin": "Existing triorthogonal code with physical paired-column contraction",
  "provenance": "gamma frontier release record paired_column_contraction_156_28_3_6b999f3a09d8 (source catalogue id paired_column_contraction_156_28_3_6b999f3a09d8); construction: Existing triorthogonal code with physical paired-column contraction; matrix 6b999f3a09d8922f...; the release states d=3 (exact), gamma=1.5634737703113704 (exact); the release matrix has 156 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 154 injections for the same gate and distance",
  "notes": "matrix gamma_frontier_release/matrices/6b999f3a09d8922f0215076f84e45a2214dee5b7945b54669c5dc81151e4e81a.matrix"
 }
]