A short characterization of relative entropy

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We prove characterization theorems for relative entropy (also known as Kullback–Leibler divergence), q-logarithmic entropy (also known as Tsallis entropy), and q-logarithmic relative entropy. All three have been characterized axiomatically before, but we show that earlier proofs can be simplified considerably, at the same time relaxing some of the hypotheses.
Original languageEnglish
Article number023302
Number of pages13
JournalJournal of mathematical physics
Issue number2
Publication statusPublished - 27 Feb 2019


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