International Journal of Theoretical Physics

, Volume 52, Issue 3, pp 699–705 | Cite as

Stronger Criteria for Nonseparability in n-Partite Quantum States

  • Yao Lu
  • Gui Lu LongEmail author
  • Ting Gao


We investigate the multipartite entanglement in arbitrary dimensional systems, and separability criteria for nonseparability in n-partite quantum states are derived. Examples such as the generalized noisy-W state and the GHZ basis states mixed with white noise are provided to show that our criteria are independent of and stronger than previously reported ones. Our criteria can also be expressed by the elements of the density matrix, which allows a simple and practical evaluation and computation. The experimental implementation of our criteria is also discussed.


Separability criteria Multipartite entanglement Density matrix element 



This work was supported by the National Natural Science Foundation of China (Grant Nos. 11175094, 10971247), the National Basic Research Program of China (2009CB929402, 2011CB9216002), and the SRFDP (Grant No. 20110002110007), Hebei Natural Science Foundation of China ( Grant No. A2012205013).


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Copyright information

© Springer Science+Business Media New York 2012

Authors and Affiliations

  1. 1.State Key Laboratory of Low-dimensional Quantum Physics and Department of PhysicsTsinghua UniversityBeijingP.R. China
  2. 2.Tsinghua National Laboratory for Information Science and TechnologyBeijingP.R. China
  3. 3.College of Mathematics and Information ScienceHebei Normal UniversityShijiazhuangP.R. China

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