Abstract
We present a lower bound of concurrence for four-partite systems in terms of the concurrence for \(M\, (2\le M\le 3)\) part quantum systems and give an analytical lower bound for \(2\otimes 2\otimes 2\otimes 2\) mixed quantum sates. It is shown that these lower bounds are able to improve the existing bounds and detect entanglement better. Furthermore, our approach can be generalized to multipartite quantum systems.
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This work is supported by NSFC under numbers 11675113 and 11605083.
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Zhu, XN., Li, M. & Fei, SM. A lower bound of concurrence for multipartite quantum systems. Quantum Inf Process 17, 30 (2018). https://doi.org/10.1007/s11128-017-1801-x
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DOI: https://doi.org/10.1007/s11128-017-1801-x