Manuscript Hawk04-A@1 · Hawk04-A.tex · example · 526092ba

Example: A coherent reset

Reset, dephasing, and omitted purifiers › Reset by transfer · lines 593–607

Hawk04-A@1#ex:reset

Let $S$ and $E$ both contain a $d$ -dimensional register, and prepare $E$ in $∣ 0 ⟩$ . The swap unitary gives

∣ ψ ⟩_{S} ∣ 0 ⟩_{E} ⟼ ∣ 0 ⟩_{S} ∣ ψ ⟩_{E} .

The local channel on $S$ is a reset, but the environmental channel is the identity on the input state. An entangled diary obeys the same identity with $I_{Q}$ tensored onto the swap.

Displayed formulas in this passage

unlabeled · line 598
$∣ ψ ⟩_{S} ∣ 0 ⟩_{E} ⟼ ∣ 0 ⟩_{S} ∣ ψ ⟩_{E} .$

Nearby in this section

section: Reset by transfer