Manuscript En01-A@1 · En01-A.tex · definition · 558b972b

Definition: Restricted implementable bias

Implementability constraints and accessibility hypergraphs · lines 2628–2639

En01-A@1#def:cost

For a class $C$ of output effects,

δ_{J}^{(C)} (Λ) = M \in C sup ∣ tr (M Λ (X_{J})) ∣ \leq δ_{J} (Λ) .

The quantity is monotone under enlargement of $C$ . A data-processing comparison with restricted effects requires a specified pullback relation between the two implementability classes.

Displayed formulas in this passage

unlabeled · line 2630
$δ_{J}^{(C)} (Λ) = M \in C sup ∣ tr (M Λ (X_{J})) ∣ \leq δ_{J} (Λ) .$

Nearby in this section

section: Implementability constraints and accessibility hypergraphs
theorem: Theorem: Single-product-effect read-chain bias
proposition: Proposition: Local parity attains the unrestricted value