Manuscript Oai365-A@1 · Oai365-A.tex · section · a3840e3d

The quantum processes

An explicit enriched-process Lorentz pilot › The quantum processes · lines 381–402

Oai365-A@1#eq:pilot-W

Let $σ_{1}, σ_{2}, σ_{3}$ be a declared Pauli frame, and set

ρ_{r} = \frac{1}{2} (I + r \cdot σ), D_{p} (X) = pX + (1 - p) Tr (X) I /2.

Here $∥ r ∥_{2} \leq 1$ and $0 < p < 1$ .

For each trial, prepare $ρ_{r}$ , send the output of $A$ through $D_{p}$ to $B$ , send the output of $B$ through the identity channel to $C$ , and discard the final output. Its process operator is

W (r, p) = ρ_{r}^{T}_{A_{I}} \otimes J (D_{p})_{A_{O} B_{I}} \otimes J (id)_{B_{O} C_{I}} \otimes I_{C_{O}} .

The two link Choi operators are real in the declared computational basis.

Displayed formulas in this passage

Oai365-A@1#eq:pilot-W · line 393
$W (r, p) = ρ_{r}^{T}_{A_{I}} \otimes J (D_{p})_{A_{O} B_{I}} \otimes J (id)_{B_{O} C_{I}} \otimes I_{C_{O}} .$
unlabeled · line 384
$ρ_{r} = \frac{1}{2} (I + r \cdot σ), D_{p} (X) = pX + (1 - p) Tr (X) I /2.$

The quantum processes

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