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A New Multipartite Entanglement Measure for Arbitrary n-qudit Pure States

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Abstract

In this paper, we propose a multipartite entanglement measure for arbitrary pure states, which is presented based on reduced density matrices of multi-qudit pure states. We review some multipartite entanglement measures based on density matrices. This is helpful for us to introduce a new good entanglement measure, which is vanishing if and only if a state is separable, invariant under local unitary transformations and non-increasing under local operations assisted by classical communication. We apply our entanglement measure for some explicit examples. It demonstrates that our entanglement measure is practical and convenient for computation. It can also distinguish the relatively high entanglement and the maximal entanglement. In short, our entanglement measure is good at characterizing multipartite entanglement.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China under Grant (No. 61272175, 61572109).

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Authors and Affiliations

  1. Big Data Research Center, School of Computer Science and Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Chao Zhao & Guo-wu Yang

  2. School of Information and Software Engineering, University of Electronic Science and Technology of China, Chengdu, 610054, China

    Xiao-yu Li

Authors
  1. Chao Zhao
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  2. Guo-wu Yang
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  3. Xiao-yu Li
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Correspondence to Chao Zhao.

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Zhao, C., Yang, Gw. & Li, Xy. A New Multipartite Entanglement Measure for Arbitrary n-qudit Pure States. Int J Theor Phys 55, 1668–1678 (2016). https://doi.org/10.1007/s10773-015-2804-y

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  • DOI: https://doi.org/10.1007/s10773-015-2804-y

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