[\![207,\,41,\,3]\!] factory

\mathrm{S} on output 0, \mathrm{S}^\dagger on output 1, \mathrm{S} on output 2, \mathrm{S} on output 3, \mathrm{S}^\dagger on output 4, \mathrm{S} on output 5, \mathrm{S} on output 6, \mathrm{S} on output 7, \mathrm{S}^\dagger on output 8, \mathrm{S} on output 9, \mathrm{S}^\dagger on output 10, \mathrm{S} on output 11, \mathrm{S} on output 12, \mathrm{S} on output 13, \mathrm{S}^\dagger 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}^\dagger on output 20, \mathrm{S} on output 21, \mathrm{Z} on output 22, \mathrm{S}^\dagger on output 23, \mathrm{S} on output 24, \mathrm{S}^\dagger on output 25, \mathrm{S} on output 26, \mathrm{S} on output 27, \mathrm{S} on output 28, \mathrm{S}^\dagger on output 29, \mathrm{S} on output 30, \mathrm{S} on output 32, \mathrm{S} on output 33, \mathrm{S} on output 34, \mathrm{S} on output 35, \mathrm{S} on output 36, \mathrm{S} on output 37, \mathrm{S} on output 38, \mathrm{S}^\dagger 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{S}^\dagger on check 46, \mathrm{Z} on check 47, \mathrm{Z} on check 48, \mathrm{S}^\dagger on check 49, \mathrm{Z} on check 50, \mathrm{S}^\dagger on check 52, \mathrm{CZ} on output 1, check 46, \mathrm{CZ} on output 1, check 49, \mathrm{CZ} on output 1, check 52, \mathrm{CZ} on output 2, output 22, \mathrm{CZ} on output 2, output 31, \mathrm{CZ} on output 2, check 44, \mathrm{CZ} on output 2, check 46, \mathrm{CZ} on output 2, check 49, \mathrm{CZ} on output 2, check 52, \mathrm{CZ} on output 3, output 22, \mathrm{CZ} on output 3, output 31, \mathrm{CZ} on output 3, check 44, \mathrm{CZ} on output 3, check 46, \mathrm{CZ} on output 3, check 49, \mathrm{CZ} on output 3, check 52, \mathrm{CZ} on output 4, check 46, \mathrm{CZ} on output 4, check 49, \mathrm{CZ} on output 4, check 52, \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 46, \mathrm{CZ} on output 6, check 49, \mathrm{CZ} on output 6, check 52, \mathrm{CZ} on output 7, output 22, \mathrm{CZ} on output 7, output 31, \mathrm{CZ} on output 7, check 44, \mathrm{CZ} on output 7, check 46, \mathrm{CZ} on output 7, check 49, \mathrm{CZ} on output 7, check 52, \mathrm{CZ} on output 8, check 46, \mathrm{CZ} on output 8, check 49, \mathrm{CZ} on output 8, check 52, \mathrm{CZ} on output 9, output 22, \mathrm{CZ} on output 9, output 31, \mathrm{CZ} on output 9, check 44, \mathrm{CZ} on output 9, check 46, \mathrm{CZ} on output 9, check 49, \mathrm{CZ} on output 9, check 52, \mathrm{CZ} on output 10, output 22, \mathrm{CZ} on output 10, output 31, \mathrm{CZ} on output 10, check 44, \mathrm{CZ} on output 12, output 22, \mathrm{CZ} on output 12, output 31, \mathrm{CZ} on output 12, check 44, \mathrm{CZ} on output 12, check 46, \mathrm{CZ} on output 12, check 49, \mathrm{CZ} on output 12, check 52, \mathrm{CZ} on output 14, output 22, \mathrm{CZ} on output 14, output 31, \mathrm{CZ} on output 14, check 44, \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 46, \mathrm{CZ} on output 15, check 49, \mathrm{CZ} on output 15, check 52, \mathrm{CZ} on output 18, check 46, \mathrm{CZ} on output 18, check 49, \mathrm{CZ} on output 18, check 52, \mathrm{CZ} on output 19, check 46, \mathrm{CZ} on output 19, check 49, \mathrm{CZ} on output 19, check 52, \mathrm{CZ} on output 20, output 22, \mathrm{CZ} on output 20, output 31, \mathrm{CZ} on output 20, check 44, \mathrm{CZ} on output 22, output 24, \mathrm{CZ} on output 22, output 26, \mathrm{CZ} on output 22, output 27, \mathrm{CZ} on output 22, output 28, \mathrm{CZ} on output 22, output 29, \mathrm{CZ} on output 22, output 30, \mathrm{CZ} on output 22, output 31, \mathrm{CZ} on output 22, output 32, \mathrm{CZ} on output 22, output 33, \mathrm{CZ} on output 22, output 34, \mathrm{CZ} on output 22, output 35, \mathrm{CZ} on output 22, output 36, \mathrm{CZ} on output 22, output 38, \mathrm{CZ} on output 22, output 39, \mathrm{CZ} on output 22, check 43, \mathrm{CZ} on output 22, check 45, \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 22, check 52, \mathrm{CZ} on output 23, check 46, \mathrm{CZ} on output 23, check 49, \mathrm{CZ} on output 23, check 52, \mathrm{CZ} on output 24, output 31, \mathrm{CZ} on output 24, check 44, \mathrm{CZ} on output 24, check 46, \mathrm{CZ} on output 24, check 49, \mathrm{CZ} on output 24, check 52, \mathrm{CZ} on output 25, check 46, \mathrm{CZ} on output 25, check 49, \mathrm{CZ} on output 25, check 52, \mathrm{CZ} on output 26, output 31, \mathrm{CZ} on output 26, check 44, \mathrm{CZ} on output 26, check 46, \mathrm{CZ} on output 26, check 49, \mathrm{CZ} on output 26, check 52, \mathrm{CZ} on output 27, output 31, \mathrm{CZ} on output 27, check 44, \mathrm{CZ} on output 27, check 46, \mathrm{CZ} on output 27, check 49, \mathrm{CZ} on output 27, check 52, \mathrm{CZ} on output 28, output 31, \mathrm{CZ} on output 28, check 44, \mathrm{CZ} on output 28, check 46, \mathrm{CZ} on output 28, check 49, \mathrm{CZ} on output 28, check 52, \mathrm{CZ} on output 29, output 31, \mathrm{CZ} on output 29, check 44, \mathrm{CZ} on output 30, output 31, \mathrm{CZ} on output 30, check 44, \mathrm{CZ} on output 30, check 46, \mathrm{CZ} on output 30, check 49, \mathrm{CZ} on output 30, check 52, \mathrm{CZ} on output 31, output 32, \mathrm{CZ} on output 31, output 33, \mathrm{CZ} on output 31, output 34, \mathrm{CZ} on output 31, output 35, \mathrm{CZ} on output 31, output 36, \mathrm{CZ} on output 31, output 38, \mathrm{CZ} on output 31, output 39, \mathrm{CZ} on output 31, check 43, \mathrm{CZ} on output 31, check 45, \mathrm{CZ} on output 31, check 47, \mathrm{CZ} on output 31, check 48, \mathrm{CZ} on output 32, check 44, \mathrm{CZ} on output 32, check 46, \mathrm{CZ} on output 32, check 49, \mathrm{CZ} on output 32, check 52, \mathrm{CZ} on output 33, check 44, \mathrm{CZ} on output 33, check 46, \mathrm{CZ} on output 33, check 49, \mathrm{CZ} on output 33, check 52, \mathrm{CZ} on output 34, check 44, \mathrm{CZ} on output 34, check 46, \mathrm{CZ} on output 34, check 49, \mathrm{CZ} on output 34, check 52, \mathrm{CZ} on output 35, check 44, \mathrm{CZ} on output 35, check 46, \mathrm{CZ} on output 35, check 49, \mathrm{CZ} on output 35, check 52, \mathrm{CZ} on output 36, check 44, \mathrm{CZ} on output 36, check 46, \mathrm{CZ} on output 36, check 49, \mathrm{CZ} on output 36, check 52, \mathrm{CZ} on output 38, check 44, \mathrm{CZ} on output 38, check 46, \mathrm{CZ} on output 38, check 49, \mathrm{CZ} on output 38, check 52, \mathrm{CZ} on output 39, check 44, \mathrm{CZ} on output 40, check 46, \mathrm{CZ} on output 40, check 49, \mathrm{CZ} on output 40, check 52, \mathrm{CZ} on check 42, check 46, \mathrm{CZ} on check 42, check 49, \mathrm{CZ} on check 42, check 52, \mathrm{CZ} on check 43, check 44, \mathrm{CZ} on check 43, check 46, \mathrm{CZ} on check 43, check 49, \mathrm{CZ} on check 43, check 52, \mathrm{CZ} on check 44, check 45, \mathrm{CZ} on check 44, check 46, \mathrm{CZ} on check 44, check 47, \mathrm{CZ} on check 44, check 48, \mathrm{CZ} on check 44, check 49, \mathrm{CZ} on check 44, check 52, \mathrm{CZ} on check 46, check 50, \mathrm{CZ} on check 49, check 50, \mathrm{CZ} on check 49, check 52, \mathrm{CZ} on check 50, check 52

0, 5, 9, 14, 16, 22, 26, 28, 37, 50, 51, 54, 55, 60, 63, 65, 67, 68, 72, 74, 78, 80, 81, 83, 86, 87, 90, 92, 93, 95, 96, 97, 99, 103, 104, 106, 107, 112, 113, 120, 121, 123, 131, 133, 134, 136, 137, 138, 142, 146, 148, 149, 151, 152, 153, 155, 156, 159, 160, 162, 167, 169, 171, 172, 174, 175, 177, 178, 181, 183, 184, 185, 187, 191, 193, 195, 196, 197, 198, 200, 201, 203, 204, 205

[
 {
  "regime": "AI search (gamma frontier): contraction of an existing code",
  "file": "gamma_frontier_release/protocols/paired_column_contraction_209_41_3_b9f02f81551e.json",
  "label": "paired_column_contraction_209_41_3_b9f02f81551e",
  "N": 53,
  "d": 3,
  "d_is_exact": true,
  "origin": "Existing triorthogonal code with physical paired-column contraction",
  "provenance": "gamma frontier release record paired_column_contraction_209_41_3_b9f02f81551e (source catalogue id paired_column_contraction_209_41_3_b9f02f81551e); construction: Existing triorthogonal code with physical paired-column contraction; matrix b9f02f81551e18a6...; the release states d=3 (exact), gamma=1.482563231870558 (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/b9f02f81551e18a6aafcd43b380b2869ad419c3b0fbf2f85b249eb0963bb50f9.matrix"
 }
]