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Local quantum uncertainty and non-commutativity measure discord in two-mode photon-added entangled coherent states

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Abstract

In this paper, we investigate quantum correlations in entangled coherent states with photon added, which are produced by the creation operator acting on Bell-like entangled coherent states. The non-classical characteristics of the quantum state created by combining two-mode coherent states with any number of photons added are also taken into account. We provide explicit expressions for the pairwise quantum correlations found in superpositions of coherent states with \(\left( m,n\right)\)-photon addition. A comparison study between a non-commutativity discord-like measure and the evaluation of the local quantum uncertainty to measure quantum correlations is also produced. We consider some special superpositions of Bell-like entangled coherent photon-added states to be illustrative of our analytical findings. The amount of entangled even/odd coherent states of two modes coherent states with a number of photon added by non-commutativity discord is found that to be more entangled than the local quantum uncertainty. Finally, the non-commutativity discord and local quantum uncertainty under a dephasing channel is discussed.

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Authors and Affiliations

  1. Team of Theoretical Physics, Laboratory L.P.T.H.E., Department of Physics, Faculty of Sciences, Ibn Zohr University, PO Box 8106, Agadir, Morocco

    Larbi Jebli

  2. Team of Theoretical Physics, Laboratory L.P.M.C., Department of Physics, Faculty of Sciences, Chouaib Doukkali University, PO Box 20, 24000, El Jadida, Morocco

    Larbi Jebli

  3. Department of Physics, Faculty of Sciences, University Ibn Tofail, Kenitra, Morocco

    Mohammed Daoud

  4. Abdus Salam International Centre for Theoretical Physics, Miramare, Trieste, Italy

    Mohammed Daoud

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  1. Larbi Jebli
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  2. Mohammed Daoud
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Contributions

LJ conceived the paper’s physical model and idea, and LJ and MD carried out the calculation and numerical analysis. LJ and MD supervised the work. All authors contributed to the interpretation of the work and the preparation of the manuscript.

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Correspondence to Larbi Jebli.

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I hereby declare that this manuscript is the result of my independent creation under the reviewers’ comments. Except for the quoted contents, this manuscript does not contain any research achievements that have been published or written by other individuals or groups.

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Jebli, L., Daoud, M. Local quantum uncertainty and non-commutativity measure discord in two-mode photon-added entangled coherent states. Opt Quant Electron 55, 707 (2023). https://doi.org/10.1007/s11082-023-04948-w

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