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Dynamics of Einstein–Podolsky–Rosen steering in Heisenberg model under decoherence

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Abstract

Symmetric quantum correlations and their properties have been investigated extensively in spin chain model under decoherence. However, the asymmetric ones, e.g., Einstein–Podolsky–Rosen steering, have been attracted smaller amount of attention in this issue. In this work, we study the dynamics of Einstein–Podolsky–Rosen steering, measured by steering robustness R, for a two-qubit Heisenberg XYZ chain with inhomogeneous magnetic field by taking account of decoherence effect. The influences of magnetic field and anisotropic parameter on steering robustness are investigated for different initial states. It is found that the phenomenon of steering sudden death as well as sudden birth appears during the evolution process for particular initial states. Furthermore, the asymmetric property of Einstein–Podolsky–Rosen steering is focused and analyzed in detail. It is shown that the asymmetric steering is directly linked to the initial state as well as the external non-uniform magnetic field. Meanwhile, we find that there always exists asymmetric steering even the magnetic field is homogeneous for both the initial two-qubit pure state \(\vert 10\rangle \) and asymmetry mixed ones.

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Acknowledgements

WW and BW thank the support from the Natural Science Foundation of Nanjing University of Posts and Telecommunication (Grant No. NY218005). LY and SM acknowledge the Natural Science Foundation of China (Grant No. 61871234).

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  1. Institute of Signal Processing and Transmission, Nanjing University of Posts and Telecommunication, Nanjing, 210003, China

    W. W. Cheng, B. W. Wang, L. Y. Gong & S. M. Zhao

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Cheng, W.W., Wang, B.W., Gong, L.Y. et al. Dynamics of Einstein–Podolsky–Rosen steering in Heisenberg model under decoherence. Quantum Inf Process 20, 371 (2021). https://doi.org/10.1007/s11128-021-03309-4

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