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Deformed Entropy and Information Relations for Composite and Noncomposite Systems

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Abstract

The notion of conditional entropy is extended to noncomposite systems. The \(q\)-deformed entropic inequalities, which usually are associated with correlations of the subsystem degrees of freedom in bipartite systems, are found for the noncomposite systems. New entropic inequalities for quantum tomograms of qudit states including the single qudit states are obtained. The Araki–Lieb inequality is found for systems without subsystems.

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Acknowledgments

O.V.M. thanks the Organizers of the Conference ”Quantum Theory: from Problems to Advances” and especially Prof. A. Khrennikov for invitation and kind hospitality.

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Authors and Affiliations

  1. P.N. Lebedev Physical Institute, Leninskii Prospect 53, Moscow, 119991, Russia

    Vladimir N. Chernega, Olga V. Man’ko & Vladimir I. Man’ko

  2. Moscow Institute of Physics and Technology (State University), Dolgoprudny, Moscow Region, 141700, Russia

    Vladimir I. Man’ko

Authors
  1. Vladimir N. Chernega
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  2. Olga V. Man’ko
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  3. Vladimir I. Man’ko
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Correspondence to Olga V. Man’ko.

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Chernega, V.N., Man’ko, O.V. & Man’ko, V.I. Deformed Entropy and Information Relations for Composite and Noncomposite Systems. Found Phys 45, 783–798 (2015). https://doi.org/10.1007/s10701-015-9890-9

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  • DOI: https://doi.org/10.1007/s10701-015-9890-9

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