[\![203,\,41,\,3]\!] factory

\mathrm{Z} on output 1, \mathrm{S}^\dagger on output 2, \mathrm{S}^\dagger on output 3, \mathrm{S}^\dagger on output 4, \mathrm{Z} on output 6, \mathrm{S}^\dagger on output 7, \mathrm{S}^\dagger on output 8, \mathrm{S}^\dagger on output 9, \mathrm{S}^\dagger on output 10, \mathrm{S}^\dagger on output 12, \mathrm{S} on output 13, \mathrm{S} on output 14, \mathrm{Z} 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 22, \mathrm{S}^\dagger on output 23, \mathrm{S}^\dagger on output 24, \mathrm{S}^\dagger on output 25, \mathrm{Z} on output 26, \mathrm{S}^\dagger on output 27, \mathrm{Z} 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{Z} on output 36, \mathrm{S} on output 37, \mathrm{Z} on output 38, \mathrm{S} on output 39, \mathrm{S}^\dagger on output 40, \mathrm{S}^\dagger on check 41, \mathrm{S} on check 43, \mathrm{Z} on check 44, \mathrm{S}^\dagger on check 45, \mathrm{Z} on check 46, \mathrm{Z} on check 47, \mathrm{S} on check 48, \mathrm{Z} on check 49, \mathrm{S} on check 50, \mathrm{CZ} on output 0, output 1, \mathrm{CZ} on output 0, output 5, \mathrm{CZ} on output 0, output 6, \mathrm{CZ} on output 0, output 10, \mathrm{CZ} on output 0, output 11, \mathrm{CZ} on output 0, output 15, \mathrm{CZ} on output 0, output 21, \mathrm{CZ} on output 0, output 26, \mathrm{CZ} on output 0, output 28, \mathrm{CZ} on output 0, output 31, \mathrm{CZ} on output 0, output 36, \mathrm{CZ} on output 0, output 38, \mathrm{CZ} on output 0, check 41, \mathrm{CZ} on output 0, check 43, \mathrm{CZ} on output 0, check 45, \mathrm{CZ} on output 0, check 47, \mathrm{CZ} on output 1, output 5, \mathrm{CZ} on output 1, output 6, \mathrm{CZ} on output 1, output 10, \mathrm{CZ} on output 1, output 11, \mathrm{CZ} on output 1, output 15, \mathrm{CZ} on output 1, output 21, \mathrm{CZ} on output 1, output 26, \mathrm{CZ} on output 1, output 28, \mathrm{CZ} on output 1, output 31, \mathrm{CZ} on output 1, output 36, \mathrm{CZ} on output 1, output 38, \mathrm{CZ} on output 1, check 41, \mathrm{CZ} on output 1, check 43, \mathrm{CZ} on output 1, check 44, \mathrm{CZ} on output 1, check 45, \mathrm{CZ} on output 1, check 50, \mathrm{CZ} on output 2, check 44, \mathrm{CZ} on output 2, check 47, \mathrm{CZ} on output 2, check 50, \mathrm{CZ} on output 3, check 44, \mathrm{CZ} on output 3, check 47, \mathrm{CZ} on output 3, check 50, \mathrm{CZ} on output 4, check 44, \mathrm{CZ} on output 4, check 47, \mathrm{CZ} on output 4, check 50, \mathrm{CZ} on output 5, output 6, \mathrm{CZ} on output 5, output 10, \mathrm{CZ} on output 5, output 11, \mathrm{CZ} on output 5, output 15, \mathrm{CZ} on output 5, output 21, \mathrm{CZ} on output 5, output 26, \mathrm{CZ} on output 5, output 28, \mathrm{CZ} on output 5, output 31, \mathrm{CZ} on output 5, output 36, \mathrm{CZ} on output 5, output 38, \mathrm{CZ} on output 5, check 41, \mathrm{CZ} on output 5, check 43, \mathrm{CZ} on output 5, check 45, \mathrm{CZ} on output 5, check 47, \mathrm{CZ} on output 6, output 10, \mathrm{CZ} on output 6, output 11, \mathrm{CZ} on output 6, output 15, \mathrm{CZ} on output 6, output 21, \mathrm{CZ} on output 6, output 26, \mathrm{CZ} on output 6, output 28, \mathrm{CZ} on output 6, output 31, \mathrm{CZ} on output 6, output 36, \mathrm{CZ} on output 6, output 38, \mathrm{CZ} on output 6, check 41, \mathrm{CZ} on output 6, check 43, \mathrm{CZ} on output 6, check 44, \mathrm{CZ} on output 6, check 45, \mathrm{CZ} on output 6, check 50, \mathrm{CZ} on output 7, check 44, \mathrm{CZ} on output 7, check 47, \mathrm{CZ} on output 7, check 50, \mathrm{CZ} on output 8, check 44, \mathrm{CZ} on output 8, check 47, \mathrm{CZ} on output 8, check 50, \mathrm{CZ} on output 9, check 44, \mathrm{CZ} on output 9, check 47, \mathrm{CZ} on output 9, check 50, \mathrm{CZ} on output 10, output 11, \mathrm{CZ} on output 10, output 15, \mathrm{CZ} on output 10, output 21, \mathrm{CZ} on output 10, output 22, \mathrm{CZ} on output 10, output 26, \mathrm{CZ} on output 10, output 28, \mathrm{CZ} on output 10, output 36, \mathrm{CZ} on output 10, output 38, \mathrm{CZ} on output 10, check 41, \mathrm{CZ} on output 10, check 44, \mathrm{CZ} on output 10, check 45, \mathrm{CZ} on output 10, check 47, \mathrm{CZ} on output 10, check 48, \mathrm{CZ} on output 11, output 15, \mathrm{CZ} on output 11, output 21, \mathrm{CZ} on output 11, output 26, \mathrm{CZ} on output 11, output 28, \mathrm{CZ} on output 11, output 31, \mathrm{CZ} on output 11, output 36, \mathrm{CZ} on output 11, output 38, \mathrm{CZ} on output 11, check 41, \mathrm{CZ} on output 11, check 43, \mathrm{CZ} on output 11, check 45, \mathrm{CZ} on output 11, check 47, \mathrm{CZ} on output 12, check 44, \mathrm{CZ} on output 12, check 47, \mathrm{CZ} on output 12, check 50, \mathrm{CZ} on output 15, output 21, \mathrm{CZ} on output 15, output 26, \mathrm{CZ} on output 15, output 28, \mathrm{CZ} on output 15, output 31, \mathrm{CZ} on output 15, output 36, \mathrm{CZ} on output 15, output 38, \mathrm{CZ} on output 15, check 41, \mathrm{CZ} on output 15, check 43, \mathrm{CZ} on output 15, check 44, \mathrm{CZ} on output 15, check 45, \mathrm{CZ} on output 15, check 50, \mathrm{CZ} on output 18, check 44, \mathrm{CZ} on output 18, check 47, \mathrm{CZ} on output 18, check 50, \mathrm{CZ} on output 19, check 44, \mathrm{CZ} on output 19, check 47, \mathrm{CZ} on output 19, check 50, \mathrm{CZ} on output 21, output 26, \mathrm{CZ} on output 21, output 28, \mathrm{CZ} on output 21, output 31, \mathrm{CZ} on output 21, output 36, \mathrm{CZ} on output 21, output 38, \mathrm{CZ} on output 21, check 41, \mathrm{CZ} on output 21, check 43, \mathrm{CZ} on output 21, check 45, \mathrm{CZ} on output 21, check 47, \mathrm{CZ} on output 22, output 31, \mathrm{CZ} on output 22, check 41, \mathrm{CZ} on output 22, check 42, \mathrm{CZ} on output 22, check 46, \mathrm{CZ} on output 22, check 47, \mathrm{CZ} on output 22, check 48, \mathrm{CZ} on output 22, check 49, \mathrm{CZ} on output 23, check 44, \mathrm{CZ} on output 23, check 47, \mathrm{CZ} on output 23, check 50, \mathrm{CZ} on output 24, check 44, \mathrm{CZ} on output 24, check 47, \mathrm{CZ} on output 24, check 50, \mathrm{CZ} on output 25, check 44, \mathrm{CZ} on output 25, check 47, \mathrm{CZ} on output 25, check 50, \mathrm{CZ} on output 26, output 28, \mathrm{CZ} on output 26, output 31, \mathrm{CZ} on output 26, output 36, \mathrm{CZ} on output 26, output 38, \mathrm{CZ} on output 26, check 41, \mathrm{CZ} on output 26, check 43, \mathrm{CZ} on output 26, check 44, \mathrm{CZ} on output 26, check 45, \mathrm{CZ} on output 26, check 50, \mathrm{CZ} on output 27, check 44, \mathrm{CZ} on output 27, check 47, \mathrm{CZ} on output 27, check 50, \mathrm{CZ} on output 28, output 31, \mathrm{CZ} on output 28, output 36, \mathrm{CZ} on output 28, output 38, \mathrm{CZ} on output 28, check 41, \mathrm{CZ} on output 28, check 43, \mathrm{CZ} on output 28, check 44, \mathrm{CZ} on output 28, check 45, \mathrm{CZ} on output 28, check 50, \mathrm{CZ} on output 30, check 44, \mathrm{CZ} on output 30, check 47, \mathrm{CZ} on output 30, check 50, \mathrm{CZ} on output 31, output 36, \mathrm{CZ} on output 31, output 38, \mathrm{CZ} on output 31, check 42, \mathrm{CZ} on output 31, check 44, \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 32, check 44, \mathrm{CZ} on output 32, check 47, \mathrm{CZ} on output 32, check 50, \mathrm{CZ} on output 33, check 44, \mathrm{CZ} on output 33, check 47, \mathrm{CZ} on output 33, check 50, \mathrm{CZ} on output 34, check 44, \mathrm{CZ} on output 34, check 47, \mathrm{CZ} on output 34, check 50, \mathrm{CZ} on output 35, check 44, \mathrm{CZ} on output 35, check 47, \mathrm{CZ} on output 35, check 50, \mathrm{CZ} on output 36, output 38, \mathrm{CZ} on output 36, check 41, \mathrm{CZ} on output 36, check 43, \mathrm{CZ} on output 36, check 44, \mathrm{CZ} on output 36, check 45, \mathrm{CZ} on output 36, check 50, \mathrm{CZ} on output 38, check 41, \mathrm{CZ} on output 38, check 43, \mathrm{CZ} on output 38, check 44, \mathrm{CZ} on output 38, check 45, \mathrm{CZ} on output 38, check 50, \mathrm{CZ} on output 40, check 44, \mathrm{CZ} on output 40, check 47, \mathrm{CZ} on output 40, check 50, \mathrm{CZ} on check 41, check 44, \mathrm{CZ} on check 41, check 45, \mathrm{CZ} on check 41, check 50, \mathrm{CZ} on check 42, check 43, \mathrm{CZ} on check 42, check 44, \mathrm{CZ} on check 42, check 47, \mathrm{CZ} on check 42, check 50, \mathrm{CZ} on check 43, check 45, \mathrm{CZ} on check 43, check 46, \mathrm{CZ} on check 43, check 48, \mathrm{CZ} on check 43, check 49, \mathrm{CZ} on check 45, check 47, \mathrm{CZ} on check 47, check 48, \mathrm{CZ} on check 47, check 50, \mathrm{CZ} on check 48, check 50

2, 6, 10, 11, 17, 18, 25, 37, 39, 40, 48, 52, 53, 60, 61, 62, 64, 65, 69, 70, 71, 72, 73, 75, 77, 81, 82, 84, 85, 87, 88, 90, 91, 92, 93, 94, 96, 97, 99, 103, 104, 106, 107, 110, 112, 114, 116, 117, 118, 121, 124, 125, 126, 127, 128, 129, 130, 131, 132, 136, 137, 139, 140, 143, 146, 147, 148, 150, 151, 152, 153, 154, 156, 161, 164, 165, 168, 170, 172, 175, 177, 180, 183, 189, 190, 192, 193, 194, 195, 198, 199, 200, 202

[
 {
  "regime": "AI search (gamma frontier): from Wills parent codes",
  "file": "gamma_frontier_release/protocols/paired_column_contraction_205_41_3_e9df5bc28e07.json",
  "label": "paired_column_contraction_205_41_3_e9df5bc28e07",
  "N": 51,
  "d": 3,
  "d_is_exact": true,
  "origin": "Wills weighted Reed\u2013Muller parent (weights 1^6,2^2, cutoff 3), with searched graph punctures; 5 paired-column contractions",
  "provenance": "gamma frontier release record paired_column_contraction_205_41_3_e9df5bc28e07 (source catalogue id paired_column_contraction_205_41_3_e9df5bc28e07); construction: Wills weighted Reed\u2013Muller parent (weights 1^6,2^2, cutoff 3), with searched graph punctures; 5 paired-column contractions; matrix e9df5bc28e07d55b...; the release states d=3 (exact), gamma=1.4649735207179269 (exact); the release matrix has 205 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 203 injections for the same gate and distance",
  "notes": "matrix gamma_frontier_release/matrices/e9df5bc28e07d55b578960ffd6627afe95804edd9610e41e60a862328f7532df.matrix"
 }
]