Rényi Extrapolation of Shannon Entropy
نویسنده
چکیده
Relations between Shannon entropy and Rényi entropies of integer order are discussed. For any N–point discrete probability distribution for which the Rényi 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. ver. 2 with corrigendum added, February 17, 2005
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ورودعنوان ژورنال:
- Open Syst. Inform. Dynam.
دوره 10 شماره
صفحات -
تاریخ انتشار 2003