{
  "id": "code/surface-rot-5",
  "version": 1,
  "kind": "code",
  "name": "Rotated surface code [[25,1,5]]",
  "provenance": {
    "submitter": "ikim",
    "source": "Bombin & Martin-Delgado, arXiv:quant-ph/0605138 (rotated layout); Bravyi & Kitaev, arXiv:quant-ph/9811052; adaptq.codes_builtin.surface_rot(5); exported from adaptq 2612aa6",
    "created": "2026-10-07",
    "notes": "qubit (r, c) = r*5 + c; X-bar on column 0, Z-bar on row 0"
  },
  "verification": {
    "status": "verified",
    "method": "bell-choi-exact-v1",
    "patterns_checked": 0,
    "tools": {
      "adaptq": "433813df312502c551d89f624375e0124f4cebbb",
      "xtim": "xtim-engine-9"
    },
    "date": "2026-10-07"
  },
  "n": 25,
  "k": 1,
  "d": {
    "value": 5,
    "source": "Bombin & Martin-Delgado, arXiv:quant-ph/0605138"
  },
  "stabilizers": [
    "+IXXIIIXXIIIIIIIIIIIIIIIII",
    "+IIIXXIIIXXIIIIIIIIIIIIIII",
    "+IIIIIXXIIIXXIIIIIIIIIIIII",
    "+IIIIIIIXXIIIXXIIIIIIIIIII",
    "+IIIIIIIIIIIXXIIIXXIIIIIII",
    "+IIIIIIIIIIIIIXXIIIXXIIIII",
    "+IIIIIIIIIIIIIIIXXIIIXXIII",
    "+IIIIIIIIIIIIIIIIIXXIIIXXI",
    "+XXIIIIIIIIIIIIIIIIIIIIIII",
    "+IIXXIIIIIIIIIIIIIIIIIIIII",
    "+IIIIIIIIIIIIIIIIIIIIIXXII",
    "+IIIIIIIIIIIIIIIIIIIIIIIXX",
    "+ZZIIIZZIIIIIIIIIIIIIIIIII",
    "+IIZZIIIZZIIIIIIIIIIIIIIII",
    "+IIIIIIZZIIIZZIIIIIIIIIIII",
    "+IIIIIIIIZZIIIZZIIIIIIIIII",
    "+IIIIIIIIIIZZIIIZZIIIIIIII",
    "+IIIIIIIIIIIIZZIIIZZIIIIII",
    "+IIIIIIIIIIIIIIIIZZIIIZZII",
    "+IIIIIIIIIIIIIIIIIIZZIIIZZ",
    "+IIIIIZIIIIZIIIIIIIIIIIIII",
    "+IIIIIIIIIIIIIIIZIIIIZIIII",
    "+IIIIZIIIIZIIIIIIIIIIIIIII",
    "+IIIIIIIIIIIIIIZIIIIZIIIII"
  ],
  "logicals": {
    "x": [
      "+XIIIIXIIIIXIIIIXIIIIXIIII"
    ],
    "z": [
      "+ZZZZZIIIIIIIIIIIIIIIIIIII"
    ]
  }
}