Manuscript En01-B@2 · En01-B-v2.tex · section · f226d1eb

The common terminal detector

From detector records to log-visibility confidence › The common terminal detector · lines 2074–2086

Let $Σ_{h}$ be normalized completed sphere–sensor outputs and $D$ their common finite-outcome detector channel. For a static squared-position approximation,

p_{h} (b) = \int_{B_{b}} d y \int_{R} d x K (y ∣ x) ⟨ x ∣ ρ_{h}^{out} ∣ x ⟩,

where $K \geq 0$ is sub-Markov and principally depends on $x^{2}$ . Add the no-detection effect to normalize the measurement.

Displayed formulas in this passage

unlabeled · line 2079
$p_{h} (b) = \int_{B_{b}} d y \int_{R} d x K (y ∣ x) ⟨ x ∣ ρ_{h}^{out} ∣ x ⟩,$

Nearby in this section

proposition: Proposition: Accessible distinguishability and heralding
section: The common terminal detector