Manuscript XVII-A@1 · XVII-A.tex · section · 711d7ee4

A conditional, reference-stable error budget

A conditional, reference-stable error budget · lines 712–723

For states and channels use

d_{tr} (ρ, σ) = \frac{1}{2} ∥ ρ - σ ∥_{1}, d_{⋄} (C, D) = \frac{1}{2} ∥ C - D ∥_{⋄} .

These conventions retain arbitrary reference systems in channel comparisons.

Displayed formulas in this passage

unlabeled · line 715
$d_{tr} (ρ, σ) = \frac{1}{2} ∥ ρ - σ ∥_{1}, d_{⋄} (C, D) = \frac{1}{2} ∥ C - D ∥_{⋄} .$