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An effective way of characterizing the quantum nonlocality

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Abstract

Nonlocality is a distinctive feature of quantum theory, which has been extensively studied for decades. It is found that the uncertainty principle determines the nonlocality of quantum mechanics. Here we show that various degrees of nonlocalities in correlated system can be characterized by the generalized uncertainty principle, by which the complementarity is attributed to the mutual dependence of observables. Concrete examples for different kinds of nonclassical phenomena pertaining to different orders of dependence are presented. We obtain the third-order “skewness nonlocality” and find that the Bell nonlocality turns out to be merely the second-order “variance nonlocality” and the fourth-order dependence contains the commutator squares, which hence is related to the quantum contextuality. More applications of the generalized uncertainty principle are expected.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (NSFC) under the Grants 11975236 and 12235008 and by the University of Chinese Academy of Sciences (Grant No. E1E40206X2).

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Authors and Affiliations

  1. School of Physical Sciences, University of Chinese Academy of Sciences, YuQuan Road 19A, Beijing, 100049, China

    Ma-Cheng Yang, Jun-Li Li & Cong-Feng Qiao

  2. Key Laboratory of Vacuum Physics, CAS, Beijing, 100049, China

    Ma-Cheng Yang, Jun-Li Li & Cong-Feng Qiao

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  1. Ma-Cheng Yang
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  2. Jun-Li Li
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  3. Cong-Feng Qiao
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All authors have equally contributed to the main result, the examples and the writing. All authors have given approval for the final version of the manuscript.

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Correspondence to Cong-Feng Qiao.

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Yang, MC., Li, JL. & Qiao, CF. An effective way of characterizing the quantum nonlocality. Quantum Inf Process 22, 242 (2023). https://doi.org/10.1007/s11128-023-04003-3

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