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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 |
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Koji Nagata 2010 Chin. Phys. Lett. 27 030305 |
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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.
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03.65.Ca
03.65.Ud
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Received: 13 May 2009
Published: 09 March 2010
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