Manuscript IX-A-ST@1 · IX-A-ST.tex · section · 6e99d1b2

Residual compatibility, blindness, and recovery safeguards

Residual compatibility, blindness, and recovery safeguards · lines 1636–1656

A record and a surviving quantum interface are different outputs. The following finite comparisons sharpen that distinction around the evaluation channel.

Let $P_{z}$ be input projections, let $q$ aggregate their fine outcomes, and put

Δ_{w} (X) = z : q (z) = w \sum P_{z} X P_{z}, R_{w} = z : q (z) = w \sum P_{z} .

For a channel $T$ and an output instrument ${A_{w}}$ , compare

F (X) = w \sum ∣ w ⟩ ⟨ w ∣ \otimes T (Δ_{w} (X)), G (X) = w \sum ∣ w ⟩ ⟨ w ∣ \otimes A_{w} (T (X)) .

Displayed formulas in this passage

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$Δ_{w} (X) = z : q (z) = w \sum P_{z} X P_{z}, R_{w} = z : q (z) = w \sum P_{z} .$
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$F (X) = w \sum ∣ w ⟩ ⟨ w ∣ \otimes T (Δ_{w} (X)), G (X) = w \sum ∣ w ⟩ ⟨ w ∣ \otimes A_{w} (T (X)) .$

Residual compatibility, blindness, and recovery safeguards

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