Manuscript Em04-A@2 · Em04-A-v2.tex · section · f5b28abc

Notation

Scope, evidence categories, and model specification › Notation · lines 168–182

For matrices,

∥ X ∥_{1} = Tr X^{†} X, ∥ X ∥_{F} = Tr X^{†} X, ∥ X ∥_{\infty} = operator norm .

For density operators,

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

All entanglement logarithms are base two. A density operator is positive semidefinite and has trace one.

Displayed formulas in this passage

unlabeled · line 171
$∥ X ∥_{1} = Tr X^{†} X, ∥ X ∥_{F} = Tr X^{†} X, ∥ X ∥_{\infty} = operator norm .$
unlabeled · line 177
$d_{tr} (ρ, σ) = \frac{1}{2} ∥ ρ - σ ∥_{1} .$