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

Ayumu Sugita
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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.

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Ayumu Sugita. 2002-10-18. Proof of the generalized Lieb-Wehrl conjecture for integer indices larger than one. https://doi.org/10.1088/0305-4470%2F35%2F42%2F105

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