[\![158,\,28,\,3]\!] factory

\mathrm{S} on output 0, \mathrm{S} on output 1, \mathrm{S} on output 3, \mathrm{S} on output 5, \mathrm{S} on output 8, \mathrm{Z} on output 9, \mathrm{S}^\dagger on output 10, \mathrm{S}^\dagger on output 12, \mathrm{S}^\dagger on output 13, \mathrm{S}^\dagger on output 16, \mathrm{S} on output 17, \mathrm{S} on output 19, \mathrm{S} on output 20, \mathrm{S}^\dagger on output 21, \mathrm{S} on output 22, \mathrm{S} on output 23, \mathrm{Z} on output 24, \mathrm{S} on output 25, \mathrm{S} on output 27, \mathrm{Z} on check 28, \mathrm{S}^\dagger on check 29, \mathrm{Z} on check 31, \mathrm{S}^\dagger on check 32, \mathrm{S}^\dagger on check 34, \mathrm{S} on check 35, \mathrm{S} on check 36, \mathrm{Z} on check 37, \mathrm{CZ} on output 2, output 4, \mathrm{CZ} on output 2, output 6, \mathrm{CZ} on output 2, output 7, \mathrm{CZ} on output 2, output 9, \mathrm{CZ} on output 2, output 11, \mathrm{CZ} on output 2, output 14, \mathrm{CZ} on output 2, output 15, \mathrm{CZ} on output 2, output 18, \mathrm{CZ} on output 2, output 24, \mathrm{CZ} on output 2, output 26, \mathrm{CZ} on output 2, check 29, \mathrm{CZ} on output 2, check 32, \mathrm{CZ} on output 2, check 34, \mathrm{CZ} on output 2, check 35, \mathrm{CZ} on output 2, check 36, \mathrm{CZ} on output 4, output 6, \mathrm{CZ} on output 4, output 7, \mathrm{CZ} on output 4, output 9, \mathrm{CZ} on output 4, output 11, \mathrm{CZ} on output 4, output 14, \mathrm{CZ} on output 4, output 15, \mathrm{CZ} on output 4, output 18, \mathrm{CZ} on output 4, output 24, \mathrm{CZ} on output 4, output 26, \mathrm{CZ} on output 4, check 29, \mathrm{CZ} on output 4, check 32, \mathrm{CZ} on output 4, check 34, \mathrm{CZ} on output 4, check 35, \mathrm{CZ} on output 4, check 36, \mathrm{CZ} on output 6, output 7, \mathrm{CZ} on output 6, output 9, \mathrm{CZ} on output 6, output 11, \mathrm{CZ} on output 6, output 14, \mathrm{CZ} on output 6, output 15, \mathrm{CZ} on output 6, output 18, \mathrm{CZ} on output 6, output 24, \mathrm{CZ} on output 6, output 26, \mathrm{CZ} on output 6, check 29, \mathrm{CZ} on output 6, check 32, \mathrm{CZ} on output 6, check 34, \mathrm{CZ} on output 6, check 35, \mathrm{CZ} on output 6, check 36, \mathrm{CZ} on output 7, output 9, \mathrm{CZ} on output 7, output 11, \mathrm{CZ} on output 7, output 14, \mathrm{CZ} on output 7, output 15, \mathrm{CZ} on output 7, output 18, \mathrm{CZ} on output 7, output 24, \mathrm{CZ} on output 7, output 26, \mathrm{CZ} on output 7, check 29, \mathrm{CZ} on output 7, check 32, \mathrm{CZ} on output 7, check 34, \mathrm{CZ} on output 7, check 35, \mathrm{CZ} on output 7, check 36, \mathrm{CZ} on output 9, output 11, \mathrm{CZ} on output 9, output 14, \mathrm{CZ} on output 9, output 15, \mathrm{CZ} on output 9, output 18, \mathrm{CZ} on output 9, output 24, \mathrm{CZ} on output 9, output 26, \mathrm{CZ} on output 9, check 29, \mathrm{CZ} on output 9, check 32, \mathrm{CZ} on output 9, check 34, \mathrm{CZ} on output 9, check 35, \mathrm{CZ} on output 9, check 36, \mathrm{CZ} on output 9, check 37, \mathrm{CZ} on output 10, check 37, \mathrm{CZ} on output 11, output 14, \mathrm{CZ} on output 11, output 15, \mathrm{CZ} on output 11, output 18, \mathrm{CZ} on output 11, output 24, \mathrm{CZ} on output 11, output 26, \mathrm{CZ} on output 11, check 29, \mathrm{CZ} on output 11, check 32, \mathrm{CZ} on output 11, check 34, \mathrm{CZ} on output 11, check 35, \mathrm{CZ} on output 11, check 36, \mathrm{CZ} on output 12, check 37, \mathrm{CZ} on output 13, check 37, \mathrm{CZ} on output 14, output 15, \mathrm{CZ} on output 14, output 18, \mathrm{CZ} on output 14, output 24, \mathrm{CZ} on output 14, output 26, \mathrm{CZ} on output 14, check 29, \mathrm{CZ} on output 14, check 32, \mathrm{CZ} on output 14, check 34, \mathrm{CZ} on output 14, check 35, \mathrm{CZ} on output 14, check 36, \mathrm{CZ} on output 15, output 18, \mathrm{CZ} on output 15, output 24, \mathrm{CZ} on output 15, output 26, \mathrm{CZ} on output 15, check 29, \mathrm{CZ} on output 15, check 32, \mathrm{CZ} on output 15, check 34, \mathrm{CZ} on output 15, check 35, \mathrm{CZ} on output 15, check 36, \mathrm{CZ} on output 16, check 37, \mathrm{CZ} on output 18, output 24, \mathrm{CZ} on output 18, output 26, \mathrm{CZ} on output 18, check 29, \mathrm{CZ} on output 18, check 32, \mathrm{CZ} on output 18, check 34, \mathrm{CZ} on output 18, check 35, \mathrm{CZ} on output 18, check 36, \mathrm{CZ} on output 21, check 37, \mathrm{CZ} on output 24, output 26, \mathrm{CZ} on output 24, check 29, \mathrm{CZ} on output 24, check 32, \mathrm{CZ} on output 24, check 34, \mathrm{CZ} on output 24, check 35, \mathrm{CZ} on output 24, check 36, \mathrm{CZ} on output 24, check 37, \mathrm{CZ} on output 26, check 29, \mathrm{CZ} on output 26, check 32, \mathrm{CZ} on output 26, check 34, \mathrm{CZ} on output 26, check 35, \mathrm{CZ} on output 26, check 36, \mathrm{CZ} on check 28, check 37, \mathrm{CZ} on check 29, check 32, \mathrm{CZ} on check 29, check 34, \mathrm{CZ} on check 29, check 35, \mathrm{CZ} on check 29, check 36, \mathrm{CZ} on check 31, check 37, \mathrm{CZ} on check 32, check 34, \mathrm{CZ} on check 32, check 35, \mathrm{CZ} on check 32, check 36, \mathrm{CZ} on check 34, check 35, \mathrm{CZ} on check 34, check 36, \mathrm{CZ} on check 35, check 36, \mathrm{CZ} on check 35, check 37, \mathrm{CZ} on check 36, check 37

0, 10, 26, 28, 37, 39, 44, 45, 47, 50, 54, 56, 59, 61, 62, 64, 66, 67, 68, 83, 85, 86, 92, 94, 97, 101, 103, 104, 105, 110, 112, 114, 115, 116, 117, 118, 122, 127, 128, 129, 133, 136, 137, 138, 142, 143, 145, 148, 150, 154, 155, 156, 157

[
 {
  "regime": "AI search (gamma frontier): contraction of an existing code",
  "file": "gamma_frontier_release/protocols/paired_column_contraction_160_28_3_87c0fa5a4aaa.json",
  "label": "paired_column_contraction_160_28_3_87c0fa5a4aaa",
  "N": 39,
  "d": 3,
  "d_is_exact": true,
  "origin": "Existing triorthogonal code with physical paired-column contraction",
  "provenance": "gamma frontier release record paired_column_contraction_160_28_3_87c0fa5a4aaa (source catalogue id paired_column_contraction_160_28_3_87c0fa5a4aaa); construction: Existing triorthogonal code with physical paired-column contraction; matrix 87c0fa5a4aaafb7c...; the release states d=3 (exact), gamma=1.586519032270877 (exact); the release matrix has 160 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 158 injections for the same gate and distance",
  "notes": "matrix gamma_frontier_release/matrices/87c0fa5a4aaafb7c5e9bb4916a8840ae709c85a13374a9fec69eb336923a9f14.matrix"
 }
]