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Chin. Phys. B, 2022, Vol. 31(3): 030305    DOI: 10.1088/1674-1056/ac229f
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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
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.
Keywords:  state-independent quantum contextuality      optical systems  
Received:  13 July 2021      Revised:  24 August 2021      Accepted manuscript online:  01 September 2021
PACS:  03.67.Lx (Quantum computation architectures and implementations)  
  03.67.Hk (Quantum communication)  
Fund: 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).
Corresponding Authors:  Deng-Ke Qu     E-mail:  dkqu@seu.edu.cn

Cite this article: 

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 2022 Chin. Phys. B 31 030305

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