`qkd_one_statement`

proved

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module: IndisputableMonolith.Engineering.CoherenceProtectedQKDLinkBudget
domain: Engineering
line: 102 · github
papers citing: none yet

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IndisputableMonolith.Engineering.CoherenceProtectedQKDLinkBudget on GitHub at line 102.

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  99
 100/-- **QKD ONE-STATEMENT.** Link rate `R(n) = R_0 · φ^(-n)`,
 101strictly anti-monotonic; per-rung attenuation `1/φ ∈ (0.617, 0.622)`. -/
 102theorem qkd_one_statement :
 103    (∀ n, linkRate (n + 1) = linkRate n / phi) ∧
 104    (∀ {n m : ℕ}, n < m → linkRate m < linkRate n) ∧
 105    (0.617 : ℝ) < attenuationPerRung ∧ attenuationPerRung < 0.622 :=
 106  ⟨linkRate_succ, @linkRate_strict_anti,
 107   attenuationPerRung_band.1, attenuationPerRung_band.2⟩
 108
 109end
 110
 111end CoherenceProtectedQKDLinkBudget
 112end Engineering
 113end IndisputableMonolith

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