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Lower bound of concurrence for qubit systems

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Abstract

We study the concurrence of four-qubit quantum states and provide analytical lower bounds of concurrence in terms of the monogamy inequality of concurrence for qubit systems. It is shown that these lower bounds are able to improve the existing bounds and detect entanglement better. The approach is generalized to arbitrary qubit systems.

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Acknowledgments

The work is supported by NSFC under number 11275131.

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Authors and Affiliations

  1. Department of Mathematics, South China University of Technology, Guangzhou, 510640, P.R.China

    Xue-Na Zhu

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

    Shao-Ming Fei

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

    Shao-Ming Fei

Authors
  1. Xue-Na Zhu
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  2. Shao-Ming Fei
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Correspondence to Xue-Na Zhu.

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Zhu, XN., Fei, SM. Lower bound of concurrence for qubit systems. Quantum Inf Process 13, 815–823 (2014). https://doi.org/10.1007/s11128-013-0693-7

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  • DOI: https://doi.org/10.1007/s11128-013-0693-7

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