Chinese Physics Letters

Bell Operator Method to Classify Local Realistic Theories

Koji Nagata

Published Mar 1, 2010• 0 citations

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.

DOI: 10.1088/0256-307x/27/3/030305

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