Proof of the generalized Lieb-Wehrl conjecture for integer indices larger than one

Abstract

Gnutzmann and Zyczkowski have proposed the Renyi-Wehrl entropy as a generalization of the Wehrl entropy, and conjectured that its minimum is obtained for coherent states. We prove this conjecture for the Renyi index q=2,3,... in the cases of compact semisimple Lie groups. A general formula for the minimum value is given.

8 pages, typos fixed, published version

References in corpus (1)

• Renyi-Wehrl entropies as measures of localization in phase space

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