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Realignment criteria for recognizing multipartite entanglement of quantum states

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Abstract

By multiple realignments of density matrices, we present a new separability criterion for the multipartite quantum state, which includes the computable cross-norm or realignment criterion and the multipartite partial realignment criterion as special cases. An example is used to show that the new criterion can be more efficient than the corresponding multipartite realignment criteria given in Horodecki et al. (Open Syst Inf Dyn 13:103–111, 2006) and Shen et al. (Phys Rev A 92:042332, 2015).

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Acknowledgements

The authors thank the referees and the editor for their invaluable comments. This work is supported by the Natural Science Foundation of Shandong Province (ZR2016AM23) and the Fundamental Research Funds for the Central Universities (15CX05062A).

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Authors and Affiliations

  1. Institute of Oceanology, Chinese Academy of Sciences, Qingdao, 266071, People’s Republic of China

    Yan-Hua Zhang

  2. University of Chinese Academy of Sciences, Beijing, 100049, People’s Republic of China

    Yan-Hua Zhang

  3. College of Science, China University of Petroleum, Qingdao, 266580, People’s Republic of China

    Yan-Hua Zhang, Yuan-Yuan Lu & Shu-Qian Shen

  4. Department of Mathematics, Qingdao Agricultural University, Qingdao, 266109, People’s Republic of China

    Guang-Bin Wang

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  1. Yan-Hua Zhang
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  2. Yuan-Yuan Lu
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  3. Guang-Bin Wang
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  4. Shu-Qian Shen
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Correspondence to Shu-Qian Shen.

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Zhang, YH., Lu, YY., Wang, GB. et al. Realignment criteria for recognizing multipartite entanglement of quantum states. Quantum Inf Process 16, 106 (2017). https://doi.org/10.1007/s11128-017-1555-5

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  • DOI: https://doi.org/10.1007/s11128-017-1555-5

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