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Bounds on multipartite concurrence and tangle

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Abstract

We present an analytical lower bound of multipartite concurrence based on the generalized Bloch representations of density matrices. It is shown that the lower bound can be used as an effective entanglement witness of genuine multipartite entanglement. Tight lower and upper bounds for multipartite tangles are also derived. Since the lower bounds depend on just part of the correlation tensors, the result is experimentally feasible.

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Acknowledgments

This work is supported by the NSFC 11105226, 11275131; the Fundamental Research Funds for the Central Universities Nos. 15CX08011A, 15CX05062A, 27R1410016A, 16CX02049A; Qingdao applied basic research program No. 15-9-1-103-jch, and a project sponsored by SRF for ROCS, SEM.

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Authors and Affiliations

  1. College of the Science, China University of Petroleum, Qingdao, 266580, China

    Jing Wang, Ming Li & Hongfang Li

  2. Department of Mathematics, Capital Normal University, Beijing, 100037, China

    Jing Wang & Shao-Ming Fei

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

    Shao-Ming Fei & Xianqing Li-Jost

Authors
  1. Jing Wang
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  2. Ming Li
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  3. Hongfang Li
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  4. Shao-Ming Fei
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  5. Xianqing Li-Jost
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Correspondence to Ming Li.

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Wang, J., Li, M., Li, H. et al. Bounds on multipartite concurrence and tangle. Quantum Inf Process 15, 4211–4218 (2016). https://doi.org/10.1007/s11128-016-1385-x

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  • DOI: https://doi.org/10.1007/s11128-016-1385-x

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