A Classical Bound on Quantum Entropy
classification
✦ hep-th
gr-qcphysics.comp-phquant-ph
keywords
classicalentropyquantumboundsigmaboundscorrespondingdistribution
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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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