Optical scheme to demonstrate state-independent quantum contextuality

doi:10.1088/1674-1056/ac229f

中国物理B ›› 2022, Vol. 31 ›› Issue (3): 30305-030305.doi: 10.1088/1674-1056/ac229f

Optical scheme to demonstrate state-independent quantum contextuality

Ya-Ping He(何亚平)^1,2,†, Deng-Ke Qu(曲登科)^1,2,†,‡, Lei Xiao(肖磊)², Kun-Kun Wang(王坤坤)^2,3, and Xiang Zhan(詹翔)^4,5

1 Department of Physics, Southeast University, Nanjing 211189, China;
2 Beijing Computational Science Research Center, Beijing 100084, China;
3 School of Physics and Materials Science, Anhui University, Hefei 230601, China;
4 School of Science, Nanjing University of Science and Technology, Nanjing 210094, China;
5 MIIT Key Laboratory of Semiconductor Microstructure and Quantum Sensing, Nanjing University of Science and Technology, Nanjing 210094, China

收稿日期:2021-07-13 修回日期:2021-08-24 接受日期:2021-09-01 出版日期:2022-02-22 发布日期:2022-02-17
通讯作者: Deng-Ke Qu E-mail:dkqu@seu.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. U1930402). L.X. acknowledges support from the Project Funded by China Postdoctoral Science Foundation (Grant Nos. 2020M680006 and 2021T140045). X.Z. acknowledges support from the National Natural Science Foundation of China (Grant No. 12004184) and the Natural Science Foundation of Jiangsu Province, China (Grants No. BK20190428).

Optical scheme to demonstrate state-independent quantum contextuality

Ya-Ping He(何亚平)^1,2,†, Deng-Ke Qu(曲登科)^1,2,†,‡, Lei Xiao(肖磊)², Kun-Kun Wang(王坤坤)^2,3, and Xiang Zhan(詹翔)^4,5

1 Department of Physics, Southeast University, Nanjing 211189, China;
2 Beijing Computational Science Research Center, Beijing 100084, China;
3 School of Physics and Materials Science, Anhui University, Hefei 230601, China;
4 School of Science, Nanjing University of Science and Technology, Nanjing 210094, China;
5 MIIT Key Laboratory of Semiconductor Microstructure and Quantum Sensing, Nanjing University of Science and Technology, Nanjing 210094, China

Received:2021-07-13 Revised:2021-08-24 Accepted:2021-09-01 Online:2022-02-22 Published:2022-02-17
Contact: Deng-Ke Qu E-mail:dkqu@seu.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. U1930402). L.X. acknowledges support from the Project Funded by China Postdoctoral Science Foundation (Grant Nos. 2020M680006 and 2021T140045). X.Z. acknowledges support from the National Natural Science Foundation of China (Grant No. 12004184) and the Natural Science Foundation of Jiangsu Province, China (Grants No. BK20190428).

摘要/Abstract

摘要： The contradiction between classical and quantum physics can be identified through quantum contextuality, which does not need composite systems or spacelike separation. Contextuality is proven either by a logical contradiction between the noncontextuality hidden variable predictions and those of quantum mechanics or by the violation of noncontextual inequality. We propose an experimental scheme of state-independent contextual inequality derived from the Mermin proof of the Kochen-Specker (KS) theorem in eight-dimensional Hilbert space, which could be observed either in an individual system or in a composite system. We also show how to resolve the compatibility problems. Our scheme can be implemented in optical systems with current experiment techniques.

关键词: state-independent quantum contextuality, optical systems

Abstract: The contradiction between classical and quantum physics can be identified through quantum contextuality, which does not need composite systems or spacelike separation. Contextuality is proven either by a logical contradiction between the noncontextuality hidden variable predictions and those of quantum mechanics or by the violation of noncontextual inequality. We propose an experimental scheme of state-independent contextual inequality derived from the Mermin proof of the Kochen-Specker (KS) theorem in eight-dimensional Hilbert space, which could be observed either in an individual system or in a composite system. We also show how to resolve the compatibility problems. Our scheme can be implemented in optical systems with current experiment techniques.

Key words: state-independent quantum contextuality, optical systems

中图分类号: (Quantum computation architectures and implementations)

03.67.Lx

03.67.Hk (Quantum communication)

Ya-Ping He(何亚平), Deng-Ke Qu(曲登科), Lei Xiao(肖磊), Kun-Kun Wang(王坤坤), and Xiang Zhan(詹翔). Optical scheme to demonstrate state-independent quantum contextuality[J]. 中国物理B, 2022, 31(3): 30305-030305.

Ya-Ping He(何亚平), Deng-Ke Qu(曲登科), Lei Xiao(肖磊), Kun-Kun Wang(王坤坤), and Xiang Zhan(詹翔). Optical scheme to demonstrate state-independent quantum contextuality[J]. Chin. Phys. B, 2022, 31(3): 30305-030305.

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Optical scheme to demonstrate state-independent quantum contextuality

Optical scheme to demonstrate state-independent quantum contextuality

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