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Pairwise nonclassical correlations for superposition of Dicke states via local quantum uncertainty and trace distance discord

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Abstract

The pairwise nonclassical correlations for two-qubit states, extracted from multi-qubit system with exchange symmetry and parity, are quantified by local quantum uncertainty and trace distance discord. The explicit expressions of local quantum uncertainty and geometric trace distance discord for Dicke states and their superpositions are given. A comparison between the two quantum correlations quantifiers is discussed.

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Notes

  1. For a fixed odd value of N, LQU and TDD vary in function the n according to curves similar to those of Fig. 1. The only difference lies in two concerned quantifiers extremes points. Indeed, when \((N-1)\) [Resp. \((N+1)\)] is a multiple of 4, the two local maxima of LQU are pointing in \(n_-=(N+1)/4\) [Resp. \( (N-1)/4\)] and \(n_+=(3N-1)/4\) [Resp. \((3N+1)/4\)], while its local minimum, which corresponds to TDD’s local maximum, is pointed in \((N-1)/2\) and \((N+1)/2\).

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Authors and Affiliations

  1. Laboratory of High Energy and Condensed Matter Physics, Department of Physics, Faculty of Sciences Aïn Chock, University Hassan II, P.O. Box 5366, Maarif, Casablanca, 20100, Morocco

    Youssef Khedif & Mohammed Daoud

  2. Abdus Salam International Centre for Theoretical Physics, Strada Costiera 11, 34151, Trieste, Italy

    Mohammed Daoud

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  1. Youssef Khedif
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  2. Mohammed Daoud
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Correspondence to Youssef Khedif.

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Khedif, Y., Daoud, M. Pairwise nonclassical correlations for superposition of Dicke states via local quantum uncertainty and trace distance discord. Quantum Inf Process 18, 45 (2019). https://doi.org/10.1007/s11128-018-2149-6

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