Manuscript Hawk05-C@1 · Hawk05-C.tex · section · ba0719f1

Probability-weighted transfer is a different exact proxy

Greybody weighting: what is calculable and what is declared › Probability-weighted transfer is a different exact proxy · lines 1326–1344

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Let $C = ⨂_{j = 1}^{K} C_{j}$ , with $dim C_{j} = d_{j}$ , and supply probabilities $q_{j} \in [0, 1]$ . On each factor use the flagged transfer isometry

∣ ψ ⟩_{C_{j}} ⟼ 1 - q_{j} ∣ ψ ⟩_{R_{j}} ∣ \emptyset ⟩_{B_{j}} + q_{j} ∣ \emptyset ⟩_{R_{j}} ∣ ψ ⟩_{B_{j}} .

The occupied logical sector and vacancy are orthogonal. Let $S \subseteq {1, \dots, K}$ denote the surviving accessible factors and put

w_{S} = j \in S \prod (1 - q_{j}) j \in / S \prod q_{j} .

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unlabeled · line 1331
$∣ ψ ⟩_{C_{j}} ⟼ 1 - q_{j} ∣ ψ ⟩_{R_{j}} ∣ \emptyset ⟩_{B_{j}} + q_{j} ∣ \emptyset ⟩_{R_{j}} ∣ ψ ⟩_{B_{j}} .$
unlabeled · line 1341
$w_{S} = j \in S \prod (1 - q_{j}) j \in / S \prod q_{j} .$

Probability-weighted transfer is a different exact proxy

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