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Uniform Entanglement Frames

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Abstract

We present several criteria for genuine multipartite entanglement from universal uncertainty relations based on majorization theory. Under non-negative Schur-concave functions, the vector-type uncertainty relation generates a family of infinitely many detectors to check genuine multipartite entanglement. We also introduce the concept of k-separable circles via geometric distance for probability vectors, which include at most (k−1)-separable states. The entanglement witness is also generalized to a universal entanglement witness which is able to detect the k-separable states more accurately.

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Acknowledgments

The work is supported in part by National Natural Science Foundation of China (grant Nos. 11271138, 11531004), China Scholarship Council and Simons Foundation grant No. 198129.

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Authors and Affiliations

  1. School of Mathematics, South China University of Technology, Guangzhou, Guangdong, 510640, China

    Yunlong Xiao & Naihuan Jing

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

    Yunlong Xiao, Xianqing Li-Jost & Shao-Ming Fei

  3. Department of Mathematics, North Carolina State University, Raleigh, NC, 27695, USA

    Naihuan Jing

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

    Shao-Ming Fei

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  1. Yunlong Xiao
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  2. Naihuan Jing
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  3. Xianqing Li-Jost
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  4. Shao-Ming Fei
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Correspondence to Naihuan Jing.

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Xiao, Y., Jing, N., Li-Jost, X. et al. Uniform Entanglement Frames. Int J Theor Phys 55, 3492–3505 (2016). https://doi.org/10.1007/s10773-016-2976-0

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  • DOI: https://doi.org/10.1007/s10773-016-2976-0

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