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Restricted distribution of quantum correlations in bilocal network

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Abstract

Analyzing shareability of correlations arising in any physical theory may be considered as a fruitful technique of studying the theory. Our present topic of discussion involves an analogous approach of studying quantum theory. For our purpose, we have deviated from the usual procedure of assessing monogamous nature of quantum correlations in the standard Bell-CHSH scenario. We have considered correlations arising in a quantum network involving independent sources. Precisely speaking, we have analyzed monogamy of nonbilocal correlations by deriving a relation restricting marginals. Interestingly, restrictions constraining distribution of nonbilocal correlations remain same irrespective of whether inputs of the nodal observers are kept fixed (in different bilocal networks) while studying nonbilocal nature of marginal correlations.

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Authors and Affiliations

  1. Department of Mathematics, Government Girls’ General Degree College, Ekbalpore, Kolkata, 700023, India

    Kaushiki Mukherjee

  2. Department of Mathematics, South Malda College, Malda, West Bengal, India

    Biswajit Paul

  3. Department of Applied Mathematics, University of Calcutta, 92, A.P.C. Road, Kolkata, 700009, India

    Debasis Sarkar

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  1. Kaushiki Mukherjee
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Mukherjee, K., Paul, B. & Sarkar, D. Restricted distribution of quantum correlations in bilocal network. Quantum Inf Process 18, 212 (2019). https://doi.org/10.1007/s11128-019-2328-0

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