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Bipartite entanglement of nonlinear quantum systems in the context of the q-Heisenberg Weyl algebra

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Abstract

In this paper, we study in detail the degree of entanglement of bipartite system states in the context of q-Heisenberg-Wely algebra. We examine the entanglement properties for two systems of arbitrary deformation parameters q 1 and q 2, defined in entanglement of entangled deformed bosonic coherent states of each of the deformation parameters. For a particular choice of the parameters that specify the coherent states, we give conditions under which bipartite entangled coherent states become maximally entangled. We generalize this formalism to the case of bipartite mixed states using a simplified expression of concurrence in Wootters’ measure of the bipartite entanglement.

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Authors and Affiliations

  1. Laboratoire de Physique Théorique, Faculté des Sciences, Université Mohammed V-Agdal, Av. Ibn Battouta, BP 1014, Agdal, Rabat, Morocco

    K. Berrada, M. El Baz & Y. Hassouni

  2. The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy

    K. Berrada

  3. Institute for Quantum Studies and Department of Physics, Texas A&M University, College Station, TX, 77843, USA

    H. Eleuch

  4. Physics and Astronomy Department, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi Arabia

    H. Eleuch

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  1. K. Berrada
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  2. M. El Baz
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  3. H. Eleuch
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  4. Y. Hassouni
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Correspondence to K. Berrada.

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Berrada, K., Baz, M.E., Eleuch, H. et al. Bipartite entanglement of nonlinear quantum systems in the context of the q-Heisenberg Weyl algebra. Quantum Inf Process 11, 351–372 (2012). https://doi.org/10.1007/s11128-011-0246-x

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