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Separability criteria and entanglement witnesses for symmetric quantum states

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Abstract

We study the separability of symmetric bipartite quantum states and show that a single correlation measurement is sufficient to detect the entanglement of any bipartite symmetric state with a non-positive partial transpose. We also discuss entanglement conditions and entanglement witnesses for states with a positive partial transpose.

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Authors and Affiliations

  1. Department of Theoretical Physics, The University of the Basque Country, P.O. Box 644, 48080, Bilbao, Spain

    G. Tóth

  2. IKERBASQUE, Basque Foundation for Science, 48011, Bilbao, Spain

    G. Tóth

  3. Research Institute for Solid State Physics and Optics, Hungarian Academy of Sciences, P.O. Box 49, 1525, Budapest, Hungary

    G. Tóth

  4. Institut für Quantenoptik und Quanteninformation, Österreichische Akademie der Wissenschaften, 6020, Innsbruck, Austria

    O. Gühne

  5. Institut für Theoretische Physik, Universität Innsbruck, Technikerstraße 25, 6020, Innsbruck, Austria

    O. Gühne

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  1. G. Tóth
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  2. O. Gühne
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Correspondence to G. Tóth.

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Tóth, G., Gühne, O. Separability criteria and entanglement witnesses for symmetric quantum states. Appl. Phys. B 98, 617–622 (2010). https://doi.org/10.1007/s00340-009-3839-7

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  • DOI: https://doi.org/10.1007/s00340-009-3839-7

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