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Entropy and information characteristics of qubit states
Authors:Vladimir N. Chernega  Vladimir I. Man’ko
Affiliation:(1) Faculty of Physics, M. V. Lomonosov Moscow State University, Vorob’evy Gory, Moscow, 119992, Russia;(2) P. N. Lebedev Physical Institute, Russian Academy of Sciences, Leninskii Prospect 53, Moscow, 119991, Russia
Abstract:
Shannon entropy, Rényi entropy, and Tsallis entropy are discussed for the tomographic probability distributions of qubit states. Relative entropy and its properties are considered for the tomographic probability distribution describing the states of multi-spin systems. New inequalities for Hermite polynomials are obtained.
Keywords:tomography  qubit  entropy  Shannon information
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