<p>The realization of nonlocality in Heisenberg XYZ states through Bell–Clauser–Horne–Shimony–Holt and Einstein–Podolsky–Rosen steering inequalities has recently been formalized as a fundamental quantum information resource. This framework elucidates the hierarchical relation among entanglement, steerability, and Bell-CHSH nonlocality, and supports advancements in quantum computing and quantum communication. Therefore, this work investigates the dynamics of steerability, Bell nonlocality, and entanglement in two-qubit Heisenberg XYZ states within the framework of Milburn’s intrinsic decoherence model, focusing on the influence of increasing the couplings of symmetric helical exchange spin-orbit interactions, spin-spin interactions, and the presence of an externally applied inhomogeneous magnetic field. The results show that the ability of spin-spin interactions to generate two-qubit Bell nonlocality, quantum steerability, and entanglement, and its robustness against the decoherence effect depend on the antiferromagnetic/ferromagnetic Heisenberg XYZ, symmetric helical exchange (<i>x</i>,&#xa0;<i>y</i>,&#xa0;<i>z</i>)-interactions, and magnetic field in the <i>x</i>-direction. It is found that an increase in the couplings of (<i>x</i>,&#xa0;<i>y</i>,&#xa0;<i>z</i>)-interactions, and magnetic field strength strongly support the amplifications of two-qubit nonlocality’s generations. Conversely, an increase in these parameters accelerates the decoherence-induced degradation of the amplified nonlocality generations.</p>

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Hierarchy Dynamics of Nonlocalitics of Heisenberg XYZ States Induced by Decoherence Mdel: Symmetric Exchange (xyz)-Interactions, and Magnetic Field in x-Direction

  • A.-B. A. Mohamed,
  • E. K. Jaradat,
  • S. S. Alharbi,
  • M. Hashem

摘要

The realization of nonlocality in Heisenberg XYZ states through Bell–Clauser–Horne–Shimony–Holt and Einstein–Podolsky–Rosen steering inequalities has recently been formalized as a fundamental quantum information resource. This framework elucidates the hierarchical relation among entanglement, steerability, and Bell-CHSH nonlocality, and supports advancements in quantum computing and quantum communication. Therefore, this work investigates the dynamics of steerability, Bell nonlocality, and entanglement in two-qubit Heisenberg XYZ states within the framework of Milburn’s intrinsic decoherence model, focusing on the influence of increasing the couplings of symmetric helical exchange spin-orbit interactions, spin-spin interactions, and the presence of an externally applied inhomogeneous magnetic field. The results show that the ability of spin-spin interactions to generate two-qubit Bell nonlocality, quantum steerability, and entanglement, and its robustness against the decoherence effect depend on the antiferromagnetic/ferromagnetic Heisenberg XYZ, symmetric helical exchange (xyz)-interactions, and magnetic field in the x-direction. It is found that an increase in the couplings of (xyz)-interactions, and magnetic field strength strongly support the amplifications of two-qubit nonlocality’s generations. Conversely, an increase in these parameters accelerates the decoherence-induced degradation of the amplified nonlocality generations.