`ErrorCorrectionCert`

definition

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module: IndisputableMonolith.QuantumComputing.ErrorCorrectionThresholdFromJCost
domain: QuantumComputing
line: 55 · github
papers citing: none yet

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IndisputableMonolith.QuantumComputing.ErrorCorrectionThresholdFromJCost on GitHub at line 55.

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depends on

used by

formal source

  52    0 ≤ errorRateCost a t := by
  53  unfold errorRateCost; exact Jcost_nonneg (div_pos ha ht)
  54
  55structure ErrorCorrectionCert where
  56  threshold_pos : 0 < surfaceCodeThreshold
  57  cost_at_threshold : ∀ r : ℝ, r ≠ 0 → errorRateCost r r = 0
  58  cost_nonneg : ∀ a t : ℝ, 0 < a → 0 < t → 0 ≤ errorRateCost a t
  59
  60noncomputable def cert : ErrorCorrectionCert where
  61  threshold_pos := surfaceCodeThreshold_pos
  62  cost_at_threshold := errorRateCost_at_threshold
  63  cost_nonneg := errorRateCost_nonneg
  64
  65theorem cert_inhabited : Nonempty ErrorCorrectionCert := ⟨cert⟩
  66
  67end
  68end ErrorCorrectionThresholdFromJCost
  69end QuantumComputing
  70end IndisputableMonolith

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