Manuscript En02-A@1 · En02-A-v1.tex · section · bb1319d5

A one-shot instrument ledger and the adaptive separation

A one-shot instrument ledger and the adaptive separation · lines 2086–2095

The classically correlated channel

ρ ⟼ x \sum ∣ x ⟩ ⟨ x ∣ \otimes Φ_{x} (ρ)

has Choi rank $R$ . Its explicit classical output is not to be counted twice as both a retained quantum register and a destructively read environment.

Displayed formulas in this passage

unlabeled · line 2089
$ρ ⟼ x \sum ∣ x ⟩ ⟨ x ∣ \otimes Φ_{x} (ρ)$

Nearby in this section

section: A one-shot instrument ledger and the adaptive separation
definition: Definition: One-shot realization model
theorem: Theorem: D': exact one-shot environment ledger
example: Example: Adaptive peak need not obey a prefix Choi bound
remark: Remark: Capacity retirement is not a physical decoherence rate