title: Optical simulation of a Popescu-Rohrlich Box.
abstract: It is well known that the fair-sampling loophole in Bell test opened by the selection of the state to be measured can lead to post-quantum correlations. In this paper, we make the selection of the results after measurement, which opens the fair- sampling loophole too, and thus can lead to post-quantum correlations. This kind of result-selection loophole can be realized by pre- and post-selection processes within the "two-state vector formalism", and a physical simulation of Popescu-Rohrlich (PR) box is designed in linear optical system. The probability distribution of the PR has a maximal CHSH value 4, i.e. it can maximally violate CHSH inequality. Because the "two-state vector formalism" violates the information causality, it opens the locality loophole too, which means that this kind of results selection within "two-state vector formalism" leads to both fair- sampling loophole and locality loophole, so we call it a comprehensive loophole in Bell test. The comprehensive loophole opened by the results selection within "two-state vector formalism" may be another possible explanation of why post-quantum correlations are incompatible with quantum mechanics and seem not to exist in nature.
authors.affiliation: School of Physics &Material Science, Anhui University, Hefei 230601, China.
authors.forename: Wen-Jing
authors.initials: WJ
authors.lastname: Chu
authors.affiliation: School of Physics &Material Science, Anhui University, Hefei 230601, China.
authors.forename: Xiao-Lan
authors.initials: XL
authors.lastname: Zong
authors.affiliation: School of Physics &Material Science, Anhui University, Hefei 230601, China.
authors.forename: Ming
authors.initials: M
authors.lastname: Yang
authors.affiliation: School of Material and Chemical Engineering, West Anhui university, Lu'an, 237012, China.
authors.forename: Guo-Zhu
authors.initials: GZ
authors.lastname: Pan
authors.affiliation: School of Physics &Material Science, Anhui University, Hefei 230601, China.|Institute for Quantum Control and Quantum Information, School of Electronic and Information Engineering, Hefei Normal University, Hefei 230601, China.
authors.forename: Zhuo-Liang
authors.initials: ZL
authors.lastname: Cao