Manuscript Oai265-B@2 · Oai265-B-v2.tex · proposition · 94b6f42f

Proposition: Three correlations give the overlap

Standard finite-dimensional conversions · lines 488–503 · proof included or linked

Oai265-B@2#prop:three, Oai265-B@2#eq:three

For a qubit channel,

P_{2} = \frac{I _{4} + A _{x} - A _{y} + A _{z}}{4}, F_{e} = \frac{1 + c _{x} - c _{y} + c _{z}}{4}, c_{j} = Tr (A_{j} J_{E}) .

Proof. Expand the Bell projector in the Pauli basis and trace against $J_{E}$ .

Displayed formulas in this passage

Oai265-B@2#eq:three · line 491
$P_{2} = \frac{I _{4} + A _{x} - A _{y} + A _{z}}{4}, F_{e} = \frac{1 + c _{x} - c _{y} + c _{z}}{4}, c_{j} = Tr (A_{j} J_{E}) .$