A lower bound of concurrence for multipartite quantum systems



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.


Quantum entanglement Concurrence Multipartite quantum systems 



This work is supported by NSFC under numbers 11675113 and 11605083.


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Authors and Affiliations

  1. 1.School of Mathematics and Statistics ScienceLudong UniversityYantaiChina
  2. 2.College of the ScienceChina University of PetroleumQingdaoChina
  3. 3.School of Mathematical SciencesCapital Normal UniversityBeijingChina
  4. 4.Max-Planck-Institute for Mathematics in the SciencesLeipzigGermany

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