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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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