Manuscript IV-B@1 · IV-B-v1.tex · section · dfb66408

The corrected Ramsey formula

Complete binary instruments and quantitative transfer › The corrected Ramsey formula · lines 401–419

IV-B@1#eq:kraus, IV-B@1#eq:ramsey-channel

For a self-adjoint operator $A$ , set

U_{A} = e^{i τ A}, K_{s} (A) = \frac{1}{2} (I + s e^{- i θ} U_{A}), s \in {+ 1, - 1} .

The phase in (eq:kraus) is $e^{- i θ} U_{A}$ , not $e^{- i θ U_{A}}$ .

Define the complete recorded channel

I_{A} (Z) = s = \pm 1 \sum ∣ s ⟩ ⟨ s ∣_{Y} \otimes K_{s} (A) Z K_{s} (A)^{*} .

Displayed formulas in this passage

IV-B@1#eq:kraus · line 404
$U_{A} = e^{i τ A}, K_{s} (A) = \frac{1}{2} (I + s e^{- i θ} U_{A}), s \in {+ 1, - 1} .$
IV-B@1#eq:ramsey-channel · line 414
$I_{A} (Z) = s = \pm 1 \sum ∣ s ⟩ ⟨ s ∣_{Y} \otimes K_{s} (A) Z K_{s} (A)^{*} .$