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Direct measure of genuine tripartite entanglement independent from bipartite constructions

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Abstract

A new and direct measure (without bipartite measures) of genuine entanglement in tripartite systems based on the volume of the negative part of the Wigner function is proposed. We analyze comparatively this quantity and the different types of entanglement present in two major classes (GHZ and W classes) formed in the coherent state basis.

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Notes

  1. It is ought to mention that due to the fact that the coherent states defined in (4) are not mutually orthogonal, these states are not maximally entangled as is the case with GHZ and W states defined using orthogonal bases; they become so, for very large values of the amplitude \(\alpha \).

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Authors and Affiliations

  1. Équipe de science de la Matière et du Rayonnement, Département de Physique, Faculté des sciences, Université Mohammed V, Av. Ibn Battouta, B.P. 1014, Agdal, Rabat, Morocco

    Mustapha Ziane & Morad El Baz

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  1. Mustapha Ziane
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  2. Morad El Baz
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Correspondence to Mustapha Ziane.

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Ziane, M., El Baz, M. Direct measure of genuine tripartite entanglement independent from bipartite constructions. Quantum Inf Process 17, 196 (2018). https://doi.org/10.1007/s11128-018-1957-z

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