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The efficiency of fractional channels in the Heisenberg XYZ model

Author

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  • El Anouz, K.
  • El Allati, A.
  • Metwally, N.
  • Obada, A.S.

Abstract

A fractional quantum state has created between two-qubit system by a Heisenberg XYZ model in the presence of the Dzyaloshinskii–Moriya (DM) interaction. The impact of the initial state settings and the interaction parameters on the amount of the quantum correlation is discussed. We used the concurrence and local quantum uncertainty to quantify these correlations. It is shown that, both quantifiers increase suddenly/gradually depending on the order of the fractional state, and whether the system is ferromagnetic or anti-ferromagnetic. The fractional parameter may increase/ stabilized the memory of the generated fractional state. Small values of the DM interaction can maximize the initial quantum correlation of a partial entangled state. The possibility of using these fractional time-dependent states as quantum channels to perform quantum teleportation has examined. It is shown that, preparing the system in anti-ferromagnetic regime improves the fidelity of the teleported state. The strength of the DM interaction and the fractional’s order has a clear effect on the fidelity’s behavior, where they may be used as control parameters to increase the efficiency of the fractional quantum channel in the context of quantum communication.

Suggested Citation

  • El Anouz, K. & El Allati, A. & Metwally, N. & Obada, A.S., 2023. "The efficiency of fractional channels in the Heisenberg XYZ model," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    • Handle: RePEc:eee:chsofr:v:172:y:2023:i:c:s0960077923004824
    DOI: 10.1016/j.chaos.2023.113581
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    References listed on IDEAS

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    1. Sergei Rogosin, 2015. "The Role of the Mittag-Leffler Function in Fractional Modeling," Mathematics, MDPI, vol. 3(2), pages 1-14, May.
    2. Marc-Olivier Renou & David Trillo & Mirjam Weilenmann & Thinh P. Le & Armin Tavakoli & Nicolas Gisin & Antonio Acín & Miguel Navascués, 2021. "Quantum theory based on real numbers can be experimentally falsified," Nature, Nature, vol. 600(7890), pages 625-629, December.
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    Cited by:

    1. El Allati, A. & Bukbech, S. & El Anouz, K. & El Allali, Z., 2024. "Entanglement versus Bell non-locality via solving the fractional Schrödinger equation using the twisting model," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).

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