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General SIC measurement-based entanglement detection

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Abstract

We study the quantum separability problem by using general symmetric informationally complete measurements and present separability criteria for both \(d\)-dimensional bipartite and multipartite systems. The criterion for bipartite quantum states is effective in detecting several well-known classes of quantum states. For isotropic states, it becomes both necessary and sufficient. Furthermore, our criteria can be experimentally implemented, and the criterion for two-qudit states requires less local measurements than the one based on mutually unbiased measurements.

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Acknowledgments

This work is supported by the NSFC under number 11275131.

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Authors and Affiliations

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

    Bin Chen, Tao Li & Shao-Ming Fei

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

    Shao-Ming Fei

Authors
  1. Bin Chen
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  2. Tao Li
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  3. Shao-Ming Fei
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Correspondence to Bin Chen.

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Chen, B., Li, T. & Fei, SM. General SIC measurement-based entanglement detection. Quantum Inf Process 14, 2281–2290 (2015). https://doi.org/10.1007/s11128-015-0951-y

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  • DOI: https://doi.org/10.1007/s11128-015-0951-y

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