Manuscript IX-A-ST@1 · IX-A-ST.tex · section · 6e99d1b2

Complete clock–table channel

Finite evaluation tables and one destructive clock › Complete clock–table channel · lines 1512–1536

IX-A-ST@1#eq:tablechannel

Let $G$ be the catalogue register, and let $P$ be an arbitrary finite quantum payload. The intended classical catalogue interface is jointly block diagonal in $G$ , including its correlations with other systems. Its canonical extension to all matrices first pinches $G$ .

For

X_{a, x} = (⟨ τ_{a} ∣_{C} ⟨ x ∣_{G} \otimes I_{P}) X (∣ τ_{a} ⟩_{C} ∣ x ⟩_{G} \otimes I_{P}), p_{y} (a, x) = \frac{1 + y v _{a, x}}{2}, y = \pm 1,

define the recorded channel

I (X) = a, x, y \sum ∣ a, x, y, r (a, x)⟩ ⟨ a, x, y, r (a, x) ∣_{W} \otimes p_{y} (a, x) X_{a, x} .

Displayed formulas in this passage

IX-A-ST@1#eq:tablechannel · line 1530
$I (X) = a, x, y \sum ∣ a, x, y, r (a, x)⟩ ⟨ a, x, y, r (a, x) ∣_{W} \otimes p_{y} (a, x) X_{a, x} .$
unlabeled · line 1521
$X_{a, x} = (⟨ τ_{a} ∣_{C} ⟨ x ∣_{G} \otimes I_{P}) X (∣ τ_{a} ⟩_{C} ∣ x ⟩_{G} \otimes I_{P}), p_{y} (a, x) = \frac{1 + y v _{a, x}}{2}, y = \pm 1,$

Complete clock–table channel

Displayed formulas in this passage

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