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Quantum Fisher information-based detection of genuine tripartite entanglement

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Abstract

Genuine multipartite entanglement plays important roles in quantum information processing. The detection of genuine multipartite entanglement has been long time a challenging problem in the theory of quantum entanglement. We propose a criterion for detecting genuine tripartite entanglement of arbitrary dimensional tripartite states based on quantum Fisher information. We show that this criterion is more effective for some states in detecting genuine tripartite entanglement by detailed example.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under Grant Nos. 11805143 and 11675113, Beijing Municipal Commission of Education (KZ201810028042) and Academy for Multidisciplinary Studies of Capital Normal University.

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Authors and Affiliations

  1. State Key Laboratory of Low-Dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, China

    Long-Mei Yang

  2. School of Mathematical Sciences, Qufu Normal University, Qufu, 273165, China

    Bao-Zhi Sun

  3. College of Mathematical Science, Tianjin Normal University, Tianjin, 300387, China

    Bin Chen

  4. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, China

    Shao-Ming Fei & Zhi-Xi Wang

  5. Max-Planck-Institute for Mathematics in the Sciences, 04103, Leipzig, Germany

    Shao-Ming Fei

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  1. Long-Mei Yang
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  2. Bao-Zhi Sun
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  3. Bin Chen
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  4. Shao-Ming Fei
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  5. Zhi-Xi Wang
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Correspondence to Zhi-Xi Wang.

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Yang, LM., Sun, BZ., Chen, B. et al. Quantum Fisher information-based detection of genuine tripartite entanglement. Quantum Inf Process 19, 262 (2020). https://doi.org/10.1007/s11128-020-02766-7

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