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One-particle loss detection of genuine multipartite entanglement

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Abstract

We study detection of genuine multipartite entanglement based on one-particle loss operator. We obtain a criterion on detecting genuine pure tripartite entanglement. The results are then generalized to arbitrary pure multipartite states. For mixed states by using the correlation tensors of the Bloch representation of density matrices, we obtain an effective criterion of arbitrary dimensional genuine tripartite entanglement. Detailed examples are given to show that our criterion is able to detect more genuine tripartite entanglement states than some existing criteria.

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All data generated or analyzed during this study are available from the corresponding author on reasonable request.

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Acknowledgements

This work is supported by the National Natural Science Foundation of China under G.Nos. 12075159, 12126351, 12272011 and 12171044. Beijing Natural Science Foundation (G.No. Z190005), and the Academician Innovation Platform of Hainan Province.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Beijing University of Technology, Beijing, 100124, People’s Republic of China

    Hui Zhao & Jia Hao

  2. School of Mathematical Sciences, Capital Normal University, Beijing, 100048, People’s Republic of China

    Shao-Ming Fei & Zhi-Xi Wang

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

    Shao-Ming Fei

  4. Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA

    Naihuan Jing

  5. School of Mathematics and Statistics, Central China Normal University, Wuhan, 430079, China

    Naihuan Jing

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  1. Hui Zhao
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  2. Jia Hao
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  3. Shao-Ming Fei
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  4. Zhi-Xi Wang
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  5. Naihuan Jing
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Correspondence to Hui Zhao.

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Zhao, H., Hao, J., Fei, SM. et al. One-particle loss detection of genuine multipartite entanglement. Quantum Inf Process 22, 210 (2023). https://doi.org/10.1007/s11128-023-03916-3

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