The Conflict between Bell-Zukowski Inequality and Bell-Mermin Inequality
Abstract
We consider a two-particle/two-setting Bell experiment to visualize the conflict between Bell-\.Zukowski inequality and Bell-Mermin inequality. The experiment is reproducible by local realistic theories which are not rotationally invariant. We found that the average value of the Bell-\.Zukowski operator can be evaluated only by the two-particle/two-setting Bell experiment in question. The Bell-\.Zukowski inequality reveals that the constructed local realistic models for the experiment are not rotationally invariant. That is, the two-particle Bell experiment in question reveals the conflict between Bell-\.Zukowski inequality and Bell-Mermin inequality. Our analysis has found the threshold visibility for the two-particle interference to reveal the conflict noted above. It is found that the threshold visibility agrees with the value to obtain a violation of the Bell-\.Zukowski inequality.
Keywords
Cite
@article{arxiv.quant-ph/0302090,
title = {The Conflict between Bell-Zukowski Inequality and Bell-Mermin Inequality},
author = {Koji Nagata and Jaewook Ahn},
journal= {arXiv preprint arXiv:quant-ph/0302090},
year = {2015}
}
Comments
To appear in Modern Physics Letters A