%0 Journal Article
%T Analysis of Bell-Type Experiments and Its Local Realism
%A Koji Nagata
%A Tadao Nakamura
%J Journal of Applied Mathematics and Physics
%P 898-902
%@ 2327-4379
%D 2015
%I Scientific Research Publishing
%R 10.4236/jamp.2015.37109
%X We investigate the violation factor of the original Bell-Mermin inequality. Until now, we have used an assumption that the results of measurement are <img alt=\"\" src=\"Edit_27a03ac2-68b4-4d65-82d9-75ca3dd9c983.bmp\" />. In this case, the maximum violation factor is as follows: <img alt=\"\" src=\"Edit_4e555bf7-8f76-42ac-b86a-49a5c0bb8b7e.bmp\" /> and <img alt=\"\" src=\"Edit_62ed72b3-8bb9-4913-848d-3517ade8235f.bmp\" />. The quantum predictions by <em>n</em>-partite Greenberger-Horne-Zeilinger state violate the Bell-Mermin inequality by an amount that grows exponentially with <em>n</em>. Recently, a new measurement theory is proposed [K. Nagata and T. Nakamura, International Journal of Theoretical Physics, 49, 162 (2010)]. The values of measurement outcome are <img alt=\"\" src=\"Edit_b1b3dec1-ed5a-4204-8de1-fa99f11155ed.bmp\" />. Here we use the new measurement theory. We consider a multipartite GHZ state. We use the original Bell-Mermin inequality. It turns out that the original Bell-Mermin inequality is satisfied irrespective of the number of particles. In this case, the maximum violation factor is as follows: <img alt=\"\" src=\"Edit_928e3e6e-6c4d-4459-bb75-14ad4802b3c7.bmp\" /> and <img alt=\"\" src=\"Edit_8ebd6e48-f85a-407c-95e0-6bcbcf4e3069.bmp\" />. Thus the original Bell-Mermin inequality is satisfied by the new measurement theory. We propose the following conjecture: <em>All the two-orthogonal-settings experimental correlation functions admit local realistic theories irrespective of a state if we use the new measurement theory.</em>
%K Quantum Nonlocality
%K Quantum Measurement Theory
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=58100