{
  "scope": "T138 own finite Steane logical-H circuits with complete stochastic Pauli noise.\n\nCompare transversal H with a conservative decode/H/re-encode Clifford network.\nBoth act on the same encoded unknown qubit. Finish with explicit Steane-style\nsyndrome extraction using 2 encoded auxiliary blocks, noisy gates and readout,\nand record-conditioned noisy physical Pauli correction pulses. All error multiplicities are included by\nexact convolution on a binary Pauli quotient; no Monte Carlo or postselection\nis hidden in the primary output channel.\n\nPrimary output = seven data qubits; Fe_code is overlap with the ideal encoded\nH output and reference, and P_code counts all logical states in the codespace.\nThe entire physical output Choi state retains nonzero-syndrome sectors.\nFe_ideal_next_check is a separate oracle diagnostic with an added perfect final\nsyndrome and history-aware Pauli recovery, not an implemented correction step.\nThe clean-aux contrast turns off faults in the explicit auxiliary preparation\nnetwork while keeping its clock and gate ledger; it is a conditional resource\nassumption, not a demonstrated noisy verification protocol or an equal-cost win.\n\nNoise rates are chosen, not fitted to an experiment: CNOT p, H p/10,\n|0> preparation bit flip 2p, Z readout bit flip 2p, idle Pauli beta*p.\nOperation windows last 73 ticks, with native H padded by 72 data-only ticks.\nThen auxiliaries are prepared (37 ticks), checks/readout take 5 ticks, classical\ndecision computation takes 2 data-idle ticks, and X/Z correction pulses take\ntwo more ticks with noisy pulses or idle noise on every data site. Total\ndeadline = 119 ticks. Initial\nencoding and final task evaluation are mathematical definitions, not noisy gates.\nNo lost atoms, coherent drift, physical reset/retry/verification or threshold.\n",
  "code": {
    "checks_X_Z": [
      15,
      51,
      85
    ],
    "logical_X_Z": 127,
    "encoder": [
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        2
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      [
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        3
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      [
        "CX",
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        4
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      [
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        6,
        3
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      [
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        4
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      [
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        3
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      [
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        5
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    ],
    "encoder_binary_map": [
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    ],
    "isometry_errors": {
      "transversal": 1.1102230246251565e-16,
      "decoded": 1.1102230246251565e-16
    },
    "distance": 3,
    "N": 7,
    "K": 1
  },
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      "sites": 21,
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        1.2496039939932255e-05,
        3.959898714186829e-06,
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        4.290517115666718e-06,
        7.122535182857387e-06,
        4.749847614690778e-06,
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        4.8348318513695565e-06,
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        3.4744660860323693e-06,
        2.929722895141787e-06,
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      "single_fault_patterns": 1011,
      "undetected_logical_single_faults": 51,
      "examples": [
        {
          "gate": 67,
          "instruction": [
            "CX",
            0,
            6
          ],
          "fault_generator_bits": 5,
          "class": 64
        },
        {
          "gate": 63,
          "instruction": [
            "CX",
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          "class": 64
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        {
          "gate": 60,
          "instruction": [
            "CX",
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            0
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          "class": 64
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        {
          "gate": 57,
          "instruction": [
            "CX",
            3,
            0
          ],
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          "class": 64
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        {
          "gate": 57,
          "instruction": [
            "CX",
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            0
          ],
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          "class": 128
        },
        {
          "gate": 57,
          "instruction": [
            "CX",
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            0
          ],
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          "class": 192
        },
        {
          "gate": 54,
          "instruction": [
            "CX",
            4,
            0
          ],
          "fault_generator_bits": 4,
          "class": 64
        },
        {
          "gate": 54,
          "instruction": [
            "CX",
            4,
            0
          ],
          "fault_generator_bits": 6,
          "class": 64
        }
      ]
    }
  },
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      {
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      {
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    },
    "decision": "noise-aware maximum encoded-output fidelity among these 256 fixed pulse implementations",
    "noise": "each active pulse has depolarizing probability p/10; each idle site has beta*p"
  },
  "group_dimensions": {
    "final_data_class_bits": 8,
    "observed_syndrome_bits": 6,
    "joint_states": 16384
  }
}