Manuscript XXII-D@1 · XXII-D.tex · definition · 17889d18

Definition: Anchored endpoint error

Endpoint topology and a conditional certificate · lines 966–981

XXII-D@1#def:endpoint, XXII-D@1#eq:endpoint-error

For a decoded logical channel $Λ_{n, ζ}$ , define

Err_{n} (ζ) = \frac{∥ a _{n, ζ} - T _{D} a ∥ _{*} + ∥ x _{n, ζ} - x ∥ _{2} + ∣ τ _{n, ζ} - τ ∣}{ℓ} + d_{⋄} (Λ_{n, ζ}, id_{M}) .

Displayed formulas in this passage

XXII-D@1#eq:endpoint-error · line 969
$Err_{n} (ζ) = \frac{∥ a _{n, ζ} - T _{D} a ∥ _{*} + ∥ x _{n, ζ} - x ∥ _{2} + ∣ τ _{n, ζ} - τ ∣}{ℓ} + d_{⋄} (Λ_{n, ζ}, id_{M}) .$