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A new method for quantifying entanglement of multipartite entangled states

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Abstract

We propose a new way for quantifying entanglement of multipartite entangled states which have a symmetrical structure and can be expressed as valence-bond-solid states. We put forward a new concept ‘unit.’ The entangled state can be decomposed into a series of units or be reconstructed by multiplying the units successively, which simplifies the analyses of multipartite entanglement greatly. We compute and add up the generalized concurrence of each unit to quantify the entanglement of the whole state. We verify that the new method coincides with concurrence for two-partite pure states. We prove that the new method is a good entanglement measure obeying the three necessary conditions for all good entanglement quantification methods. Based on the method, we compute the entanglement of multipartite GHZ, cluster and AKLT states.

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Acknowledgements

This work is supported by the Natural Science Foundation of Shandong Province (Nos. ZR2014AQ026, ZR2014AM023) and the National Science Foundation of China (Grant Nos. 61575180, 11475160, 61640009).

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Author notes

  1. Pei-Yuan Su and Wen-Dong Li have contributed equally to this study.

Authors and Affiliations

  1. Department of Physics, Ocean University of China, Qingdao, 266100, China

    Pei-Yuan Su, Wen-Dong Li, Xiao-Ping Ma, Kai Liu, Zhao-Ming Wang & Yong-Jian Gu

  2. National Key Laboratory of Electromagnetic Environment, China Research Institute of Radiowave Propagation, Qingdao, 266107, China

    Kai Liu

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  1. Pei-Yuan Su
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Correspondence to Yong-Jian Gu.

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Su, PY., Li, WD., Ma, XP. et al. A new method for quantifying entanglement of multipartite entangled states. Quantum Inf Process 16, 190 (2017). https://doi.org/10.1007/s11128-017-1632-9

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