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Classification of Classical Non-Gaussian Noises with Respect to Their Detrimental Effects on the Evolution of Entanglement Using a System of Three-Qubit as Probe

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Abstract

A system of three non-interacting qubits is used as a quantum probe to classify three classical non-Gaussian noises namely, the static noise (SN), colored noise (pink and brown spectrum) and random telegraph noise (RTN), according to their detrimental effects on the evolution of entanglement of the latter. The probe system is initially prepared in the GHZ state and coupled to the noises in independent environments. Seven configurations for the qubit-noise coupling (QNC) are considered. To estimate the destructive influence of each kind of noise, the tripartite negativity is employed to compare the evolution of entanglement in these QNC configurations to each other with the same noise parameters. It is shown that the evolution of entanglement is drastically impacted by the QNC configuration considered as well as the properties of the environmental noises and that the SN is more detrimental to the survival of entanglement than the RTN and colored noise, regardless of the Markov or non-Markov character of the RTN and the spectrum of the colored noise. On the other hand, it is shown that pink noise is more fatal to the system than the RTN and that the situation is totally reversed in the case of brown noise. Finally, it is demonstrated that these noises, in descending order of destructive influence, can be classified as follows: SN > pink noise > RTN > brown noise.

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Acknowledgments

This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.

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Authors and Affiliations

  1. Department of Physics, Research Unit of Condensed Matter, Electronic and Signal Processing, Dschang School of Sciences and Technology, University of Dschang, PO Box: 67, Dschang, Cameroon

    Lionel Tenemeza Kenfack, Martin Tchoffo & Lukong Cornelius Fai

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  1. Lionel Tenemeza Kenfack
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  2. Martin Tchoffo
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  3. Lukong Cornelius Fai
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Correspondence to Lionel Tenemeza Kenfack.

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Kenfack, L.T., Tchoffo, M. & Fai, L.C. Classification of Classical Non-Gaussian Noises with Respect to Their Detrimental Effects on the Evolution of Entanglement Using a System of Three-Qubit as Probe. Int J Theor Phys 58, 4278–4292 (2019). https://doi.org/10.1007/s10773-019-04300-7

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