Renyi extrapolation of Shannon entropy

Details Renyi extrapolation of Shannon entropy Renyi extrapolation of Shannon entropy

2003-05-12

arxiv.org/abs/quant-ph/0305062v2

Open Syst. Inf. Dyn. 10, 297-310 (2003)

Physics

Quantum Physics

12 latex pages, 4 figures included ver.2 with a Corrigendun - A claim that Renyi entropy is a convex function of its argument

Scientific paper

Relations between Shannon entropy and Renyi entropies of integer order are discussed. For any N-point discrete probability distribution for which the Renyi entropies of order two and three are known, we provide an lower and an upper bound for the Shannon entropy. The average of both bounds provide an explicit extrapolation for this quantity. These results imply relations between the von Neumann entropy of a mixed quantum state, its linear entropy and traces.

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