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Stronger Criteria for Nonseparability in n-Partite Quantum States

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Abstract

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.

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Acknowledgements

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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Authors and Affiliations

  1. State Key Laboratory of Low-dimensional Quantum Physics and Department of Physics, Tsinghua University, Beijing, 100084, P.R. China

    Yao Lu & Gui Lu Long

  2. Tsinghua National Laboratory for Information Science and Technology, Beijing, 100084, P.R. China

    Yao Lu & Gui Lu Long

  3. College of Mathematics and Information Science, Hebei Normal University, Shijiazhuang, 050024, P.R. China

    Ting Gao

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  1. Yao Lu
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  2. Gui Lu Long
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  3. Ting Gao
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Correspondence to Gui Lu Long.

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Lu, Y., Long, G.L. & Gao, T. Stronger Criteria for Nonseparability in n-Partite Quantum States. Int J Theor Phys 52, 699–705 (2013). https://doi.org/10.1007/s10773-012-1378-1

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  • DOI: https://doi.org/10.1007/s10773-012-1378-1

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