Manuscript Em03-G@1 · Em03-G-v1.tex · section · 0bb3a8a3

Complete leakage bounds in the transmission regime

Compact ordered realization and source-input stability › Complete leakage bounds in the transmission regime · lines 1532–1554

Em03-G@1#eq:leakagerange

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Let the compact model's $q_{c} = e^{- 2∥ a_{1} ∥_{U}^{2}}$ , and define

L_{env} = τ in f d_{⋄} (N_{h}^{c}, R_{τ}) .

Then

q_{c} /2 \leq L_{env} \leq min {1, 2 E} .

The lower bound is Theorem thm:lower. The upper bound follows from Lemma lem:leakageBell and the decoder fidelity $F_{e} \geq 1 - E$ . It concerns the complete fixed complement, not just the source.

Displayed formulas in this passage

Em03-G@1#eq:leakagerange · line 1541
$q_{c} /2 \leq L_{env} \leq min {1, 2 E} .$
unlabeled · line 1536
$L_{env} = τ in f d_{⋄} (N_{h}^{c}, R_{τ}) .$