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      Entropic Steering Criteria: Applications to Bipartite and Tripartite Systems

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      * , ,
      Entropy
      MDPI
      steering, entropic uncertainty relation, general entropies

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          Abstract

          The effect of quantum steering describes a possible action at a distance via local measurements. Whereas many attempts on characterizing steerability have been pursued, answering the question as to whether a given state is steerable or not remains a difficult task. Here, we investigate the applicability of a recently proposed method for building steering criteria from generalized entropic uncertainty relations. This method works for any entropy which satisfy the properties of (i) (pseudo-) additivity for independent distributions; (ii) state independent entropic uncertainty relation (EUR); and (iii) joint convexity of a corresponding relative entropy. Our study extends the former analysis to Tsallis and Rényi entropies on bipartite and tripartite systems. As examples, we investigate the steerability of the three-qubit GHZ and W states.

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          Possible generalization of Boltzmann-Gibbs statistics

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              Reduction criterion of separability and limits for a class of distillation protocols

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                Author and article information

                Journal
                Entropy (Basel)
                Entropy (Basel)
                entropy
                Entropy
                MDPI
                1099-4300
                05 October 2018
                October 2018
                : 20
                : 10
                : 763
                Affiliations
                Naturwissenschaftlich-Technische Fakultät, Universität Siegen, 57068 Siegen, Germany
                Author notes
                [* ]Correspondence: ana.sprotte@ 123456gmail.com or ana.costa@ 123456physik.uni-siegen.de ; Tel.: +49-271-740-3797
                Article
                entropy-20-00763
                10.3390/e20100763
                7512325
                d08c4885-c5f4-4556-b0e1-0f2ea9c49346
                © 2018 by the authors.

                Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license ( http://creativecommons.org/licenses/by/4.0/).

                History
                : 23 August 2018
                : 20 September 2018
                Categories
                Article

                steering,entropic uncertainty relation,general entropies

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