Bulg. J. Phys. vol.35 no.s1 (2008), pp. 211-218


An Upper Bound on Quantum Entropy

Cosmas Zachos
High Energy Physics Division, Argonne National Laboratory, Argonne, IL 60439-4815, USA
Abstract. Following ref [1], a classical upper bound for quantum entropy is identified and illustrated, 0 ≤ Sq ≤ ln (eσ2/2ħ), involving the variance σ2 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 Rényi.

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