Manuscript Em05-B@1 · Em05-B-v1.tex · section · 6c050f5b

A balanced decoder with an exact Pauli error

Improved intermediate recovery control › A balanced decoder with an exact Pauli error · lines 1273–1284

For $0 \leq x \leq 1$ , define a qubit channel

G_{x} (Y) = G_{0} Y G_{0}^{†} + G_{1} Y G_{1}^{†}, G_{0} = diag (1 - x, 1), G_{1} = x ∣1 ⟩ ⟨ 0∣.

Its effects sum to $I_{M^{'}}$ .

Displayed formulas in this passage

unlabeled · line 1276
$G_{x} (Y) = G_{0} Y G_{0}^{†} + G_{1} Y G_{1}^{†}, G_{0} = diag (1 - x, 1), G_{1} = x ∣1 ⟩ ⟨ 0∣.$