A Classical Bound on Quantum Entropy

Details A Classical Bound on Quantum Entropy A Classical Bound on Quantum Entropy

2006-09-21

arxiv.org/abs/hep-th/0609148v6

J.Phys.A40:F407-F412,2007

Physics

High Energy Physics

High Energy Physics - Theory

Latex2e, 7 pages, publication version

Scientific paper

10.1088/1751-8113/40/21/F02

A classical upper bound for quantum entropy is identified and illustrated,
$0\leq S_q \leq \ln (e \sigma^2 / 2\hbar)$, involving the variance $\sigma^2$
in phase space of the classical limit distribution of a given system. A
fortiori, this further bounds the corresponding information-theoretical
generalizations of the quantum entropy proposed by Renyi.

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