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Exploring Tripartite Quantum Correlations: Entanglement Witness and Quantum Discord

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Abstract

In this study, we explore the tripartite quantum correlations by employing the quantum relative entropy as a distance measure. First, we evaluate the explicit expression for nonlinear entanglement witness (EW) of tripartite systems in the four dimensional space that lends itself to a straightforward algorithm for finding closest separable state (CSS) to the generic state. Then using nonlinear EW with specific feasible regions (FRs), quantum discord is derived analytically for the three-qubit and tripartite systems in the four dimensional space. Furthermore, we explicitly figure out the additivity relation of quantum correlations in tripartite systems.

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Acknowledgments

This research has been supported by Farhangian University of Tehran, Tabriz University and Shabestar Branch Islamic Azad University.

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Authors and Affiliations

  1. Department of Theoretical Physics and Astrophysics, Tabriz University, Tabriz, 51664, Iran

    M. A. Jafarizadeh & D. Amidi

  2. Department of Science, Farhangian University, Tehran, 1939614464, Iran

    N. Karimi

  3. Department of Physics, Shabestar Branch, Islamic Azad University, Shabestar, Iran

    A. Heshmati

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  1. M. A. Jafarizadeh
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  2. N. Karimi
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  3. A. Heshmati
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  4. D. Amidi
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Correspondence to N. Karimi.

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Jafarizadeh, M.A., Karimi, N., Heshmati, A. et al. Exploring Tripartite Quantum Correlations: Entanglement Witness and Quantum Discord. Int J Theor Phys 56, 1121–1131 (2017). https://doi.org/10.1007/s10773-016-3254-x

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  • DOI: https://doi.org/10.1007/s10773-016-3254-x

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