Manuscript En02-E@2 · En02-E-v2.tex · section · c2769986

Covariance-to-state continuity

The complete finite packet state › Covariance-to-state continuity · lines 527–536

Replacing $K$ by $diag K$ therefore requires an error budget:

d_{tr} (ρ_{K}, ρ_{diag K}) \leq min {1, J ∥ K - diag K ∥_{\infty}} .

Disjoint frequency supports make $K$ diagonal. Temporal translations of overlapping packets generally do not.

Displayed formulas in this passage

unlabeled · line 530
$d_{tr} (ρ_{K}, ρ_{diag K}) \leq min {1, J ∥ K - diag K ∥_{\infty}} .$