,Bell Operator Method to Classify Local Realistic Theories

• 机 构: Department of Agriculture and of Veterinary Medicine, National Research Center for Protozoan Disease
• 出 处: 中国物理快报(英文版)
• 发表日期: 2010年3期
• 关键词: 贝尔不等式 设置模式 设定模型 分类 设定模式 函数值 实验 任意数

We review the historical fact of multipartite Bell inequalities with an arbitrary number of settings. An explicit local realistic model for the values of a correlation function, given in a two-setting Bell experiment (two-setting model), works only for the specific set of settings in the given experiment, but cannot construct a local realistic model for the values of a correlation function, given in a continuous-infinite settings Bell experiment (infinite-setting model), even though there exist two-setting models for all directions in space. Hence, the two-setting model does not have the property that the infinite-setting model has. Here, we show that an explicit two-setting model cannot construct a local realistic model for the values of a correlation function, given in an M-setting Bell experiment (M-setting model), even though there exist two-setting models for the M measurement directions chosen in the given M-setting experiment. Hence, the two-setting model does not have the property that the M-setting model has.