Manuscript Oai280-C@1 · Oai280-C.tex · section · 7d44b8c0

Explicit triple decoders and optimal access errors

A fully specified five-qubit tensor › Explicit triple decoders and optimal access errors · lines 542–554

Oai280-C@1#eq:UB

Let $B$ be a physical triple, $E = B ˉ$ , and fix computational bases and ascending register order. Define the square matrix

U_{B} ∣ l, e ⟩ = 2 (I_{B} \otimes ⟨ e ∣_{E}) V ∣ l ⟩, l \in {0, 1}, e \in {0, 1}^{2} .

Thus every entry of $U_{B}$ is fixed by (eq:encoder).

Displayed formulas in this passage

Oai280-C@1#eq:UB · line 546
$U_{B} ∣ l, e ⟩ = 2 (I_{B} \otimes ⟨ e ∣_{E}) V ∣ l ⟩, l \in {0, 1}, e \in {0, 1}^{2} .$