Stronger Hardy-like proof of quantum contextuality

Wen Rong Qi, Jie Zhou, Ling Jun Kong, Zhen Peng Xu, Hui Xian Meng, Rui Liu, Zhou Xiang Wang, Chenghou Tu, Yongnan Li*, Adán Cabello, Jing Ling Chen*, Hui Tian Wang*

*此作品的通讯作者

科研成果: 期刊稿件文章同行评审

3 引用 (Scopus)

摘要

A Hardy-like proof of quantum contextuality is a compelling way to see the conflict between quantum theory and noncontextual hidden variables (NCHVs), as the latter predict that a particular probability must be zero, while quantum theory predicts a nonzero value. For the existing Hardy-like proofs, the success probability tends to 1/2 when the number of measurement settings n goes to infinity. It means the conflict between the existing Hardy-like proof and NCHV theory is weak, which is not conducive to experimental observation. Here we advance the study of a stronger Hardy-like proof of quantum contextuality, whose success probability is always higher than the previous ones generated from a certain n-cycle graph. Furthermore, the success probability tends to 1 when n goes to infinity. We perform the experimental test of the Hardy-like proof in the simplest case of n = 7 by using a four-dimensional quantum system encoded in the polarization and orbital angular momentum of single photons. The experimental result agrees with the theoretical prediction within experimental errors. In addition, by starting from our Hardy-like proof, one can establish the stronger noncontextuality inequality, for which the quantum-classical ratio is higher with the same n, which provides a new method to construct some optimal noncontextuality inequalities. Our results offer a way for optimizing and enriching exclusivity graphs, helping to explore more abundant quantum properties.

源语言英语
页(从-至)1582-1593
页数12
期刊Photonics Research
10
7
DOI
出版状态已出版 - 7月 2022
已对外发布

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Qi, W. R., Zhou, J., Kong, L. J., Xu, Z. P., Meng, H. X., Liu, R., Wang, Z. X., Tu, C., Li, Y., Cabello, A., Chen, J. L., & Wang, H. T. (2022). Stronger Hardy-like proof of quantum contextuality. Photonics Research, 10(7), 1582-1593. https://doi.org/10.1364/PRJ.452704