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Detecting Quantum Dissonance and Discord in Exact Dynamics of qubit Systems

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Abstract

In this paper, we evaluate the quantum and classical correlations in exact dynamics of qubit systems interacting with a common dephasing environment. We show the existence of a sharp transition between the classical and quantum loss of correlations during the time evolution. We show that it is possible to exploit a large class of initial states in different tasks of quantum information and processing without any perturbation of the correlations from the environment noisy for large time intervals. On the other hand, we include the dynamics of a new kind of correlation so-called quantum dissonance, which contains the rest of the nonclassical correlations. We show that the quantum dissonance can be considered as an indicator to expect the behavior of the dynamics of classical and quantum correlations in composite open quantum systems.

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Acknowledgments

K.B would like to thank the International Centre for Theoretical Physics, ICTP, for kind hospitality.

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Authors and Affiliations

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

    K. Berrada

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

    K. Berrada

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  1. K. Berrada
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Correspondence to K. Berrada.

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Berrada, K. Detecting Quantum Dissonance and Discord in Exact Dynamics of qubit Systems. Int J Theor Phys 55, 3479–3491 (2016). https://doi.org/10.1007/s10773-016-2975-1

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  • DOI: https://doi.org/10.1007/s10773-016-2975-1

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