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def

dft8ModeCount

definition
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module
IndisputableMonolith.Physics.QuantumErrorCorrectionFromJCost
domain
Physics
line
41 · github
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IndisputableMonolith.Physics.QuantumErrorCorrectionFromJCost on GitHub at line 41.

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formal source

  38    0 < Jcost r := Jcost_pos_of_ne_one r hr hne
  39
  40/-- DFT-8 harmonic scheduling: 8 = 2^D = 2^3 modes. -/
  41def dft8ModeCount : ℕ := 8
  42theorem dft8_eq_8 : dft8ModeCount = 8 := rfl
  43
  44structure QECCert where
  45  five_codes : Fintype.card QECCodeType = 5
  46  threshold_zero : Jcost 1 = 0
  47  error_positive : ∀ {r : ℝ}, 0 < r → r ≠ 1 → 0 < Jcost r
  48  dft8_count : dft8ModeCount = 8
  49
  50def qecCert : QECCert where
  51  five_codes := qecCodeCount
  52  threshold_zero := below_threshold_correct
  53  error_positive := logical_error_positive
  54  dft8_count := dft8_eq_8
  55
  56end IndisputableMonolith.Physics.QuantumErrorCorrectionFromJCost