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Construction of Bell inequalities based on the CHSH structure

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Abstract

It is a computationally hard task to find all Bell inequalities for a given number of parties, measurement settings, and measurement outcomes. We investigate the construction of the Clauser-Horne-Shimony-Holt Bell inequalities, based on which we present a set of new Bell inequalities. The maximal violations of the constructed Bell inequalities are analysed, and computable formulas are derived.

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Acknowledgements

This work is finished in the Beijing Computational Science Research Center and is supported by the NSFC Grants Nos. 11105226 and 11275131; the Fundamental Research Funds for the Central Universities Grants Nos. 15CX08011A, 15CX05062A, 16CX02049A and 17CX02033A; the Shandong Provincial Natural Science Foundation No. ZR2016AQ06; Qingdao applied basic research Program No. 15-9-1-103-jch; and a project sponsored by SRF for ROCS, SEM.

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Authors and Affiliations

  1. College of the Science, China University of Petroleum, Qingdao, 266580, China

    Binbin Liu, Jing Wang, Ming Li, Shuqian Shen & Dongmeng Chen

  2. Max-Planck-Institute for Mathematics in the Sciences, Leipzig, 04103, Germany

    Ming Li

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  1. Binbin Liu
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  2. Jing Wang
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  3. Ming Li
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  4. Shuqian Shen
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  5. Dongmeng Chen
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Correspondence to Ming Li.

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Liu, B., Wang, J., Li, M. et al. Construction of Bell inequalities based on the CHSH structure. Quantum Inf Process 16, 105 (2017). https://doi.org/10.1007/s11128-017-1562-6

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