Manuscript Hawk05-A@1 · Hawk05-A.tex · remark · 449f85bb

Remark: Entropy peak and recovery error do not coincide

An explicit conserving transfer schedule › Exact channels, recovery, leakage, and entropy · lines 1134–1152

Hawk05-A@1#rem:peak

For pure unreferenced inputs,

S (R) = h_{2} (q) .

A schedule taking $q$ from one to zero exhibits an entropy peak at $q = 1/2$ . Nevertheless,

ε_{rec} (N_{q}) = q a_{d}, δ_{full} (C_{q}) = q a_{d}

both decrease with transfer. Their maximum occurs initially, not at the entropy peak.

For a Bell input, the final radiation entropy is $lo g_{2} d$ , not zero. Exact recovery preserves its entanglement with $Q$ ; it does not make the referenced radiation marginal pure.

Displayed formulas in this passage

unlabeled · line 1137
$S (R) = h_{2} (q) .$
unlabeled · line 1142
$ε_{rec} (N_{q}) = q a_{d}, δ_{full} (C_{q}) = q a_{d}$

Nearby in this section

section: Exact channels, recovery, leakage, and entropy
theorem: Theorem: Exact flagged calibration
section: Exact channels, recovery, leakage, and entropy