Manuscript IV-B@1 · IV-B-v1.tex · section · dfb66408

Complete-channel rather than record-only errors

Complete binary instruments and quantitative transfer › Complete-channel rather than record-only errors · lines 487–496

Use

d_{tr} (ρ, σ) = \frac{1}{2} ∥ ρ - σ ∥_{1}, d_{⋄} (Φ, Ψ) = \frac{1}{2} ∥ Φ - Ψ ∥_{⋄},

where the diamond norm is understood on trace-class inputs and arbitrary reference extensions.

Displayed formulas in this passage

unlabeled · line 490
$d_{tr} (ρ, σ) = \frac{1}{2} ∥ ρ - σ ∥_{1}, d_{⋄} (Φ, Ψ) = \frac{1}{2} ∥ Φ - Ψ ∥_{⋄},$