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Detecting Bell Nonlocality Based on the Hardy Paradox

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Abstract

In this paper, we aim to detecting Bell nonlocality based on the Hardy paradox. Firstly, motivated by the Hardy paradox, we derive some necessary conditions for a state to be Bell local and then obtain some sufficient conditions for discriminating Bell’s nonlocality; Secondly, we verify Bell nonlocality of any 2-qubit entangled pure state by the obtained sufficient conditions; Finally, we prove that any entangled pure state of a bipartite system can be projected as Bell nonlocal state.

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Acknowledgments

This subject was supported by the National Natural Science Foundation of China (Nos. 11871318, 11771009, 11571211) and the Fundamental Research Funds for the Central Universities (GK201703010).

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Authors and Affiliations

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an, 710062, China

    Zhenzhu Dong & Huaixin Cao

  2. Department of Applied Mathematics, Yuncheng College, Yuncheng, 044000, China

    Ying Yang

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  1. Zhenzhu Dong
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  2. Ying Yang
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  3. Huaixin Cao
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Correspondence to Huaixin Cao.

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Dong, Z., Yang, Y. & Cao, H. Detecting Bell Nonlocality Based on the Hardy Paradox. Int J Theor Phys 59, 1644–1656 (2020). https://doi.org/10.1007/s10773-020-04432-1

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  • DOI: https://doi.org/10.1007/s10773-020-04432-1

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