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Entanglement Degree of Finite-Dimensional Pair Coherent States

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Journal of Russian Laser Research Aims and scope

Abstract

We study in detail the entanglement degree of finite-dimensional pair coherent states (PCSs) in terms of different parameters involved in the coherent states. Since these states are a type of correlated two-mode states in finite dimension, we use the D concurrence and linear entropy to quantify their amount of entanglement. We show that the maximum entanglement can be obtained for two and threedimensional (finite-dimensional) PCSs, and states with higher dimensions cannot attain this limit. We generalize the discussion to a superposition of two states of this class and give the maximum entangled states for even and odd finite-dimensional PCSs. In addition, we consider the entanglement degree of nonlinear finite-dimensional PCSs and survey the maximality condition. Finally, we discuss the entanglement for a class of mixed states defined as a statistical mixture of two pure finite-dimensional PCSs. Our observations may have important implications in exploiting these states in quantum information theory.

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Authors and Affiliations

  1. Young Researcher Club, Gorgan Branch Islamic Azad University Gorgan, Gorgan, Iran

    F. Khashami & Y. Maleki

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

    K. Berrada

  3. College of Science, Department of Physics Al Imam Mohammad Ibn Saud Islamic University (IMSIU) Riyadh, Riyadh, Saudi Arabia

    K. Berrada

  4. Laboratoire de Physique Théorique, Faculté des Sciences Université Mohammed V-Agdal Avenue Ibn Battouta, Boîte Postale 1014, Agdal Rabat, Morocco

    K. Berrada

Authors
  1. F. Khashami
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  2. Y. Maleki
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  3. K. Berrada
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Correspondence to K. Berrada.

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Khashami, F., Maleki, Y. & Berrada, K. Entanglement Degree of Finite-Dimensional Pair Coherent States. J Russ Laser Res 34, 388–401 (2013). https://doi.org/10.1007/s10946-013-9368-1

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  • DOI: https://doi.org/10.1007/s10946-013-9368-1

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