A Classical Bound on Quantum Entropy

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A classical upper bound for quantum entropy is identified and illustrated, $0\leq S_q \leq \ln (e σ^2 / 2\hbar)$, involving the variance $σ^2$ 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.
Latex2e, 7 pages, publication version

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