Manuscript Oai265-B@2 · Oai265-B-v2.tex · section · 94b6f42f

Exact implemented-channel tests

Adversarial benchmarks › Exact implemented-channel tests · lines 1082–1117

In the following table, the decoder is identity on the returned qubit. Let

Z_{q} = (1 - q) id + q Ad_{Z}, U_{θ} = e^{- i θ Z /2}, P_{p} = p id + (1 - p) T_{I_{2} /2} .

Amplitude damping has Kraus operators

K_{0} = ∣ 0 ⟩ ⟨ 0 ∣ + 1 - γ ∣ 1 ⟩ ⟨ 1 ∣, K_{1} = γ ∣ 0 ⟩ ⟨ 1 ∣, 0 \leq γ \leq 1.

Displayed formulas in this passage

unlabeled · line 1086
$Z_{q} = (1 - q) id + q Ad_{Z}, U_{θ} = e^{- i θ Z /2}, P_{p} = p id + (1 - p) T_{I_{2} /2} .$
unlabeled · line 1092
$K_{0} = ∣ 0 ⟩ ⟨ 0 ∣ + 1 - γ ∣ 1 ⟩ ⟨ 1 ∣, K_{1} = γ ∣ 0 ⟩ ⟨ 1 ∣, 0 \leq γ \leq 1.$