Manuscript X-C-ST@1 · X-C-ST.tex · section · b679954e

One explicit finite-table error topology

Finite installed encoding and the clock instrument › One explicit finite-table error topology · lines 2296–2310

Choose scaled installed reports $v_{k} \in [- 1, 1]$ , with their map and data identifiers carried by $k$ . For $y = \pm 1$ , put

p_{y} (v_{k}) = \frac{1 + y v _{k}}{2},

and define the recorded channel

I_{v} (X) = k, y \sum ∣ k, y ⟩ ⟨ k, y ∣_{R} \otimes p_{y} (v_{k}) D_{k} X D_{k}^{†} .

Displayed formulas in this passage

unlabeled · line 2301
$p_{y} (v_{k}) = \frac{1 + y v _{k}}{2},$
unlabeled · line 2305
$I_{v} (X) = k, y \sum ∣ k, y ⟩ ⟨ k, y ∣_{R} \otimes p_{y} (v_{k}) D_{k} X D_{k}^{†} .$