Manuscript X-B-ST@1 · X-B-ST.tex · section · d03c150c

A fixed-interface approximation theorem

Installed evaluations and a complete clock instrument › A fixed-interface approximation theorem · lines 2388–2402

To state an actual channel error, choose scaled installed values $v_{k} \in [- 1, 1]$ and encode them by a binary report with probabilities

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

Define

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

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