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Tripartite separability of four-qubit W and Dicke mixed state in noise environment

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Abstract

Quantum entanglement is one of the most important resources in quantum information. A certain degree of white noise will make the entangled state separable, so finding the minimal white noise tolerance of a specific state is important. Based on a detailed study of the tripartite separability of a four-qubit W state mixed with a Dicke state and white noise, we obtain the necessary and (or) sufficient conditions either numerically or analytically. In particular, we give the analytical formula at W state side, our results show that the sufficient condition of tripartite separability agrees with the necessary condition well.

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Acknowledgements

Support from the National Natural Science Foundation of China (Grant Nos: 61871347) is gratefully acknowledged.

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Authors and Affiliations

  1. College of Information and Electronic Engineering (Sussex Artificial Intelligence Institute), Zhejiang Gongshang University, Hangzhou, 310018, China

    Li-li Ge, Miao Xu, Tao Hu & Li-zhen Jiang

  2. School of Information & Electrical Engineering, Zhejiang University City College, Hangzhou, 310015, China

    Xiao-yu Chen

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  1. Li-li Ge
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  2. Miao Xu
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  3. Tao Hu
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  4. Li-zhen Jiang
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  5. Xiao-yu Chen
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Correspondence to Xiao-yu Chen.

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Ge, Ll., Xu, M., Hu, T. et al. Tripartite separability of four-qubit W and Dicke mixed state in noise environment. Eur. Phys. J. Plus 136, 739 (2021). https://doi.org/10.1140/epjp/s13360-021-01729-w

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  • DOI: https://doi.org/10.1140/epjp/s13360-021-01729-w

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