Manuscript En05-A@1 · En05-A.tex · definition · f076e703

Definition: Residual response

Readout, residual response, and quantum reconstruction › Complete residual response · lines 976–987

En05-A@1#def:response

For an isometry $V : C \to R \otimes B$ , let

N (ρ) = Tr_{B} (V ρ V^{†}), C (ρ) = Tr_{R} (V ρ V^{†}) .

The complete residual $B$ responds to the code when $C$ is not a constant channel on the code. The residual must include all inaccessible systems and preparation purifications belonging to the stated dilation.

Displayed formulas in this passage

unlabeled · line 978
$N (ρ) = Tr_{B} (V ρ V^{†}), C (ρ) = Tr_{R} (V ρ V^{†}) .$

Nearby in this section

proposition: Proposition: Complete restoration does not identify a residual
section: Complete residual response
remark: Remark: Residual response is not a signalling path