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

Definition: Balanced decoder

Improved intermediate recovery control › A balanced decoder with an exact Pauli error · lines 1285–1299

Em05-B@1#def:balanced, Em05-B@1#eq:balancedDecoder

Put

x_{η} = \frac{t ^{2}}{1 + t ^{2}}

and define

D_{bal, η} (Y) = G_{x_{η}} (W^{†} Y W) + Tr ((I_{R} - P) Y) ∣1 ⟩ ⟨ 1∣.

Displayed formulas in this passage

Em05-B@1#eq:balancedDecoder · line 1292
$D_{bal, η} (Y) = G_{x_{η}} (W^{†} Y W) + Tr ((I_{R} - P) Y) ∣1 ⟩ ⟨ 1∣.$
unlabeled · line 1288
$x_{η} = \frac{t ^{2}}{1 + t ^{2}}$