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Quantum coherence dynamics of three-qubit states in XY spin-chain environment

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Abstract

We investigate the dynamics of quantum coherence, based on relative entropy and quantum skew information, for tripartite systems in a quantum-critical environment. We demonstrate that initial states, the strength of magnetic field, anisotropy parameter, system–environment coupling, and the scale of the environment strongly affect coherence evolution. We find that two measures of coherence are frozen for the initial W state coupled to an XY spin-chain environment as the system–environment coupling satisfies certain conditions. We compare the dynamics of quantum coherence with that of the entanglement and the quantum discord. The analysis shows no hierarchical relationship among them.

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Acknowledgements

This work was supported by National Basic Research Program of China (Grant No. 2013CBA01702), National Natural Science Foundation of China (Grant Nos. 61575055, 61377016, 10974039, 61307072, 61308017, and 61405056), and Special Fund Project of Harbin Science and Technology Innovation Talents Research (RC2017QN017004).

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Authors and Affiliations

  1. Department of Physics, Harbin Institute of Technology, Harbin, 150001, China

    Shaoying Yin, Jie Song, Xuexin Xu & Shutian Liu

  2. Department of Physics, Harbin University, Harbin, 150086, China

    Shaoying Yin & Yujun Zhang

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  1. Shaoying Yin
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Correspondence to Shutian Liu.

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Yin, S., Song, J., Xu, X. et al. Quantum coherence dynamics of three-qubit states in XY spin-chain environment. Quantum Inf Process 17, 296 (2018). https://doi.org/10.1007/s11128-018-2066-8

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