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Quantum correlations and non-classical properties for two superconducting qubits interacting with a quantized field in the context of deformed Heisenberg algebra

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  • Abdel-Khalek, S.
  • Berrada, K.
  • Aldaghfag, Shatha A.

Abstract

In the present work, we examine qualitatively the entanglement and parameter estimation in a two superconducting qubits (SC-qubits) coupled to a nonlinear field in the existence of time-varying coupling. We show the effects of the nonlinearity of the field and time-varying coupling on the evolution of such quantities of current interests by considering the von Neumann entropy, entanglement of formation and quantum Fisher information (QFI). Moreover, we explain the relationship between the information quantifiers during the dynamics. The obtained results can suggest new prospects to explore and understand the nonlinearity phenomena on the behaviour of the information quantifiers in SC-qubits.

Suggested Citation

  • Abdel-Khalek, S. & Berrada, K. & Aldaghfag, Shatha A., 2021. "Quantum correlations and non-classical properties for two superconducting qubits interacting with a quantized field in the context of deformed Heisenberg algebra," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
    • Handle: RePEc:eee:chsofr:v:143:y:2021:i:c:s0960077920308584
    DOI: 10.1016/j.chaos.2020.110466
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    References listed on IDEAS

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    1. Y. Nakamura & Yu. A. Pashkin & J. S. Tsai, 1999. "Coherent control of macroscopic quantum states in a single-Cooper-pair box," Nature, Nature, vol. 398(6730), pages 786-788, April.
    2. John Clarke & Frank K. Wilhelm, 2008. "Superconducting quantum bits," Nature, Nature, vol. 453(7198), pages 1031-1042, June.
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    Cited by:

    1. Li, Yan & Ren, Zhihong, 2023. "Quantum Fisher information of an N-qubit maximal sliced state in decoherence channels and Ising-type interacting model," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    2. Mohamed, A.-B.A. & Hessian, H.A. & Obada, A.-S.F., 2021. "Nonclassical effects in a nonlinear two trapped-particles system under intrinsic decoherence," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    3. Mariam Algarni & Kamal Berrada & Sayed Abdel-Khalek & Hichem Eleuch, 2022. "Parity Deformed Tavis-Cummings Model: Entanglement, Parameter Estimation and Statistical Properties," Mathematics, MDPI, vol. 10(17), pages 1-12, August.

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