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Separability Criteria and Lower Bound for Concurrence Based on Hermitian Maps

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Abstract

In this paper, a class of matrix maps be preserving Hermitian are constructed. Based on these maps, for pure quantum states on any finite dimensional bipartite systems, we present a necessary and sufficient condition for separability, moreover, a new lower bound of concurrence is obtained.

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Acknowledgments

This project is supported by China Postdoctoral Science Foundation (2014M551655) and Natural Science Foundation of Jiangsu Province of China (BK20130325).

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Authors and Affiliations

  1. Robotics and Microsystems Center, Soochow University, Suzhou, 215021, China

    Hao Guo

  2. School of Mechanical and Electric Engineering and Collaborative Innovation Center of Suzhou Nano Science and Technology, Soochow University, Suzhou, 215021, China

    Fei Qi

  3. Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, China

    Qiang Lei

Authors
  1. Hao Guo
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  2. Fei Qi
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  3. Qiang Lei
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Correspondence to Fei Qi.

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Guo, H., Qi, F. & Lei, Q. Separability Criteria and Lower Bound for Concurrence Based on Hermitian Maps. Int J Theor Phys 54, 3018–3025 (2015). https://doi.org/10.1007/s10773-015-2540-3

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  • DOI: https://doi.org/10.1007/s10773-015-2540-3

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