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 find that the average value of Bell-Zukowski operator is evaluated by the two-particle/two-setting Bell experiment in question. Bell-Zukowski inequality reveals that the constructed local realistic theories for the experiment are not rotationally invariant. The two-particle Bell experiment in question reveals the conflict between Bell-Zukowski inequality and Bell-Mermin inequality. Our analysis finds the threshold visibility for the two-particle interference to reveal the conflict noted above. The threshold visibility agrees with the value to obtain a voilation of Bell-Zukowski inequality.