Bell Operator Method to Classify Local Realistic Theories
Koji Nagata
Department of Agriculture and of Veterinary Medicine, National Research Center for Protozoan Diseases, University of Obihiro, West 2-13, Inada, Obihiro, Hokkaido 080-8555 Japan
Bell Operator Method to Classify Local Realistic Theories
Koji Nagata
Department of Agriculture and of Veterinary Medicine, National Research Center for Protozoan Diseases, University of Obihiro, West 2-13, Inada, Obihiro, Hokkaido 080-8555 Japan
摘要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.
Abstract：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.
Koji Nagata. Bell Operator Method to Classify Local Realistic Theories[J]. 中国物理快报, 2010, 27(3): 30305-030305.
Koji Nagata. Bell Operator Method to Classify Local Realistic Theories. Chin. Phys. Lett., 2010, 27(3): 30305-030305.
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