Manuscript Em03-E@1 · Em03-E-v1.tex · section · c4b07e6a

E2: complete radiation-channel calculation

E2: complete radiation-channel calculation · lines 629–643

Define the independently emitted occupation densities

σ_{i} = n = 0 \sum^{J_{i}} w_{i, n} ∣ n ⟩ ⟨ n ∣, σ_{O} = σ_{1} \otimes σ_{2} .

Let $J_{o} : C^{2} \to H_{C_{2}}$ be $J_{o} ∣ x ⟩ = ∣ x_{o} ⟩$ . For a qubit operator $Y$ , write

Y^{o} = J_{o} Y J_{o}^{†} .

Displayed formulas in this passage

unlabeled · line 633
$σ_{i} = n = 0 \sum^{J_{i}} w_{i, n} ∣ n ⟩ ⟨ n ∣, σ_{O} = σ_{1} \otimes σ_{2} .$
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$Y^{o} = J_{o} Y J_{o}^{†} .$