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Lower bound of multipartite concurrence based on sub-partite quantum systems

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Abstract

We study the concurrence of arbitrary dimensional multipartite quantum systems. An explicit analytical lower bound of concurrence for four-partite mixed states is obtained in terms of the concurrences of tripartite mixed states. Detailed examples are given to show that our lower bounds improve the existing lower bounds of concurrence. The approach is generalized to five-partite quantum systems.

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Acknowledgements

This work is supported by the NSFC under numbers 11571119 and 11405060.

Author information

Authors and Affiliations

  1. School of Computer Science and Network Security, Dongguan University of Technology, Dongguan, 523808, People’s Republic of China

    Wei Chen

  2. Department of Mathematics and Statistics Science, Ludong University, Yantai, 264025, People’s Republic of China

    Xue-Na Zhu

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

    Shao-Ming Fei

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

    Shao-Ming Fei

  5. School of Mathematics, South China University of Technology, Guangzhou, 510641, China

    Zhu-Jun Zheng

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  1. Wei Chen
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  2. Xue-Na Zhu
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  4. Zhu-Jun Zheng
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Correspondence to Wei Chen.

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Chen, W., Zhu, XN., Fei, SM. et al. Lower bound of multipartite concurrence based on sub-partite quantum systems. Quantum Inf Process 16, 288 (2017). https://doi.org/10.1007/s11128-017-1742-4

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