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Exploring the Effects of Intrinsic Decoherence on Quantum-Memory-Assisted Entropic Uncertainty Relation in a Heisenberg Spin Chain Model

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Abstract

In this paper, we investigate the influence of the intrinsic decoherence on the Quantum-Memory-Assisted Entropic Uncertainty Relation (QMA-EUR) and quantum correlations in a two-qubit XX Heisenberg spin chain coupled to Dzyaloshinskii-Moriya (DM) interaction and subjected to an external non-homogeneous magnetic field. To quantify the quantum correlations presented in our bipartite system, we consider the local quantum uncertainty (LQU) to measure discord-like correlations and the concurrence (C) to detect entanglement. Then, we have revealed that quantum correlations and entropic uncertainty are typically anticorrelated when the system is prepared initially in a pure state. Significantly, we show promising features on the behaviours of quantum correlations and the entropic uncertainty in terms of the system parameters in a variety of initial states. Indeed, we can improve quantum correlations and reduce entropic uncertainty with the control of both DM interaction and the external magnetic field, which is of fundamental importance for quantum precision measurement during quantum information processing, particularly in the context of spin solid-state.

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Authors and Affiliations

  1. EPTHE, Department of Physics, Faculty of Sciences, Ibn Zohr University, Agadir, Morocco

    Anas Ait Chlih, Nabil Habiballah & Mostafa Nassik

  2. Faculty of Applied Sciences, Ibn Zohr University, Ait-Melloul, Morocco

    Nabil Habiballah

  3. Abdus Salam International Centre for Theoretical Physics, Strada Costiera, 11, 34151, Trieste, Italy

    Nabil Habiballah

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  1. Anas Ait Chlih
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  2. Nabil Habiballah
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  3. Mostafa Nassik
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Ait Chlih, A., Habiballah, N. & Nassik, M. Exploring the Effects of Intrinsic Decoherence on Quantum-Memory-Assisted Entropic Uncertainty Relation in a Heisenberg Spin Chain Model. Int J Theor Phys 61, 49 (2022). https://doi.org/10.1007/s10773-022-05001-4

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