Golden-Thompson's inequality for deformed exponentials

preprint2014arXivOpen access

Abstract

Deformed logarithms and their inverse functions, the deformed exponentials, are important tools in the theory of non-additive entropies and non-extensive statistical mechanics. We formulate and prove counterparts of Golden-Thompson's trace inequality for q-exponentials with parameter q in the interval [1,3].

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Golden-Thompson's inequality for deformed exponentials | BZPEER