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Quantum Locality of N Entangled States

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Abstract

The nonlocality research of quantum entanglement plays an important role in the development of quantum mechanics theory and quantum information technology. As multipartite entangled state is a rare quantum resource, its nonlocality research has always been an important subject in the study of quantum theory. In this paper, we focus on N entangled states composed of N copies of an entangled state. First, a new Bell test with respect to N entangled states is presented, and lifting Bell inequalities are applied to certify nonlocality. Second, we obtain the nonlocality certification standard of N entangled states by parity binning lifting Bell inequality. Third, we prove the conjecture that N + 2 entangled states must be local if N entangled states are local certified by parity binning lifting Bell inequality. The research will promote the theoretical research progress of quantum coherence, and provide theoretical basis and technical support for the multipartite entangled states application in quantum cryptographic protocols.

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Acknowledgments

This work is supported by NSFC (Grant Nos. 61571226, 61701229, 61901218, 61801126), Natural Science Foundation of Jiangsu Province, China (Grant Nos. BK20170802, BK20190407), Jiangsu Planned Projects for Postdoctoral Research Funds (Grant No. 1701139B), China Postdoctoral Science Foundation funded Project (Grant No. 2018M630557, 2018T110499), the Postdoctoral Innovation Talent Support Program of China (Grant No. BX20180042).

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Authors and Affiliations

  1. College of Computer Science and Technology, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, China

    YuQian Zhou, ZhiYi Zhang & Dan Li

  2. State Key Laboratory of Cryptology, P.O. Box 5159, Beijing, 100878, China

    YuQian Zhou

  3. School of Control and Computer Engineering, North China Electric Power University, Beijing, 102206, China

    QingLe Wang

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  1. YuQian Zhou
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  2. ZhiYi Zhang
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Correspondence to YuQian Zhou.

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Zhou, Y., Zhang, Z., Li, D. et al. Quantum Locality of N Entangled States. Int J Theor Phys 59, 2112–2119 (2020). https://doi.org/10.1007/s10773-020-04484-3

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