{
  "schema_version": "1.0",
  "kind": "post_hoc_one_sided_confidence_sensitivity",
  "computed_on": "2026-07-16",
  "source": {
    "stabilizers": 80,
    "raw_shots": 184320,
    "accepted_shots": 4519,
    "backend": "ibm_kingston",
    "transport": "direct_ibm_runtime",
    "jobs": [
      {
        "job_id": "d9bkverv6alc73ct7c90",
        "stabilizer_indices": "0-9",
        "shots_per_circuit": 4096,
        "quantum_seconds": 14
      },
      {
        "job_id": "d9bp6k66hjac73fg14m0",
        "stabilizer_indices": "10-79",
        "shots_per_circuit": 2048,
        "quantum_seconds": 44
      }
    ]
  },
  "point_estimate": 0.012169883112268277,
  "working_method": {
    "name": "equal_weight_one_sided_student_t",
    "formula": "mean - critical_value * sample_standard_deviation / sqrt(n)",
    "n": 80,
    "degrees_of_freedom": 79,
    "sample_standard_deviation_across_stabilizers": 0.1441119047734455,
    "standard_error_across_stabilizers": 0.016112200772020028,
    "is_distribution_free": false,
    "is_publication_grade": false
  },
  "one_sided_student_t": [
    {
      "confidence_level": 0.95,
      "critical_value": 1.6643714091975021,
      "raw_lower_bound": -0.01464680319193178,
      "physical_lower_bound": 0.0,
      "passes_above_zero": false,
      "predeclared": true
    },
    {
      "confidence_level": 0.8,
      "critical_value": 0.8461948104988588,
      "raw_lower_bound": -0.0014641775667307774,
      "physical_lower_bound": 0.0,
      "passes_above_zero": false,
      "predeclared": false
    },
    {
      "confidence_level": 0.75,
      "critical_value": 0.677607981215727,
      "raw_lower_bound": 0.0012521272741973042,
      "physical_lower_bound": 0.0012521272741973042,
      "passes_above_zero": true,
      "predeclared": false
    }
  ],
  "zero_crossing_confidence_level": 0.7738487420749123,
  "distribution_free_hoeffding_at_75_percent": {
    "raw_lower_bound": -0.17399498744068342,
    "physical_lower_bound": 0.0,
    "passes_above_zero": false
  },
  "interpretation": {
    "post_hoc": true,
    "not_publication_grade": true,
    "does_not_establish_quantum_advantage": true
  }
}