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Abstract
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International Journal of Mathematics and Mathematical Sciences
Volume 24 (2000), Issue 12, Pages 807-819
doi:10.1155/S0161171200004567

Entropy considerations in the noncommutative setting

Patricia Giurgescu

Mathematics Department, Pace University, 861 Bedford rd., Pleasantville 10507, NY, USA

Abstract

An analogue of the classical link between the relative entropy and Fisher information entropy is presented in the context of free probability theory. Several generalizations of the relative entropy in terms of density matrices are also discussed.