Manuscript En02-D@4 · En02-D-v4.tex · section · e19ec871

Channels and the observer interface

Channels and the observer interface · lines 241–260

All spaces are finite dimensional. A channel is completely positive and trace preserving (CPTP). We use

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

including external references WatrousBook.

For the accessible radiation channel $N_{t}$ , define

ε_{IT} (t) = D CPTP in f d_{⋄} (D N_{t}, id_{M}), ε_{op} (N, t) = π \in P_{N} in f d_{⋄} (Φ_{π} N_{t}, id_{M}) .

Displayed formulas in this passage

unlabeled · line 247
$d_{⋄} (Φ, Ψ) = \frac{1}{2} ∥ Φ - Ψ ∥_{⋄},$
unlabeled · line 253
$ε_{IT} (t) = D CPTP in f d_{⋄} (D N_{t}, id_{M}), ε_{op} (N, t) = π \in P_{N} in f d_{⋄} (Φ_{π} N_{t}, id_{M}) .$