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 1/2when 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 quantumclassical 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.
基金
Alexander von Humboldt-Stiftung
Nankai Zhide Foundation
Tianjin Research Innovation Project for Postgraduate Students(2019YJSB033)
National Key Research and Development Program of China(2017YFA0303700,2017YFA0303800)
National Natural Science Foundation of China(11534006,116741841,11774183,11875167,11901317,12075001,12104135)
China Postdoctoral Science Foundation(2018M631726,2018M640471)
Collaborative Innovation Center of Extreme Optics。
