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Lower bound on concurrence for arbitrary-dimensional tripartite quantum states

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Abstract

In this paper, we study the concurrence of arbitrary-dimensional tripartite quantum states. An explicit operational lower bound of concurrence is obtained in terms of the concurrence of substates. A given example shows that our lower bound may improve the well-known existing lower bounds of concurrence. The significance of our result is to get a lower bound when we study the concurrence of arbitrary \(m\otimes n\otimes l\)-dimensional tripartite quantum states.

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Acknowledgments

This project is supported by NSFC through Grants No. 11571119, 11405060, 11475178 and 11275131.

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Authors and Affiliations

  1. School of Automation Science and Engineering, South China University of Technology, Guangzhou, 510641, China

    Wei Chen

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

    Shao-Ming Fei

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

    Shao-Ming Fei

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

    Zhu-Jun Zheng

Authors
  1. Wei Chen
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  2. Shao-Ming Fei
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  3. Zhu-Jun Zheng
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Correspondence to Wei Chen.

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Chen, W., Fei, SM. & Zheng, ZJ. Lower bound on concurrence for arbitrary-dimensional tripartite quantum states. Quantum Inf Process 15, 3761–3771 (2016). https://doi.org/10.1007/s11128-016-1369-x

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  • DOI: https://doi.org/10.1007/s11128-016-1369-x

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