{
  "gamma": 0.55,
  "stationary_excited_population": 0.3,
  "best_observed_holevo_bits": 0.3632124111712466,
  "signal_excited_population": 0.4777896689161416,
  "best_grid_holevo_bits": 0.36321241110931324,
  "grid_intervals": 4096,
  "analytic_grid_discretization_allowance_bits": 0.05745478132326783,
  "estimated_model_maximum_upper_with_grid_allowance_bits": 0.42066719243258105,
  "ensemble": "equiprobable sqrt(1-p)|0> plus/minus sqrt(p)|1>",
  "decoding": "asymptotic collective decoding; separate-output decoding not certified",
  "evidence": "floating_point_model_benchmark_not_formal_or_outward_rounded",
  "rounding_error_bound": null,
  "independent_theorem_verification": "not_run",
  "source_commit": "fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb",
  "source_url": "https://github.com/openai/math/blob/fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb/preprints/Classical-capacity-and-entropy-inequalities-for-generalized-amplitude-damping-September-24-2026/paper.pdf"
}