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Asymmetry-induced nonclassical correlation

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Abstract

In quantum resource theory (QRT), asymmetry recognized as a valid resource for the advantage of various quantum information processing. In this paper, we establish resource theory of asymmetry using quantum Fisher information (QFI). By defining the average Fisher information as a measure of asymmetry, it is shown that the discrepancy of bipartite global and local asymmetries naturally induces the nonclassical correlation between the subsystems. This measure satisfies all the necessary axioms of a faithful measure of bipartite quantum correlation. As an illustration, we have studied the proposed measure for an arbitrary pure state, a class of separable states and Bell diagonal state.

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Acknowledgements

This work has been financially supported by the Council of Scientific and Industrial Research (CSIR), Government of India, for the financial support under Grant No. 03(1444)/18/EMR-II.

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Authors and Affiliations

  1. Center for Nonlinear Science and Engineering, School of Electrical and Electronics Engineering, SASTRA Deemed University, Thanjavur, Tamil Nadu, India

    R. Muthuganesan & V. K. Chandrasekar

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  1. R. Muthuganesan
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  2. V. K. Chandrasekar
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Correspondence to R. Muthuganesan.

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Muthuganesan, R., Chandrasekar, V.K. Asymmetry-induced nonclassical correlation. Quantum Inf Process 20, 335 (2021). https://doi.org/10.1007/s11128-021-03272-0

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