Manuscript Psy04-A@1 · Psy04-A-v1.tex · section · d5800e2a

Depolarizing storage

Delay-dependent separation › Depolarizing storage · lines 682–699

Psy04-A@1#eq:depolarizing

For $0 \leq η \leq 1$ , define on arbitrary matrices

P_{η} (A) = η A + (1 - η) Tr (A) \frac{I}{2} .

This linear map is CPTP: it is a convex mixture of identity and replacement by $I /2$ .

For $T$ steps with possibly different factors $η_{1}, \dots, η_{T}$ , put

r_{T} = t = 1 \prod^{T} η_{t}, r_{0} = 1.

Displayed formulas in this passage

Psy04-A@1#eq:depolarizing · line 685
$P_{η} (A) = η A + (1 - η) Tr (A) \frac{I}{2} .$
unlabeled · line 695
$r_{T} = t = 1 \prod^{T} η_{t}, r_{0} = 1.$