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-Żukowski 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-Żukowski operator can be evaluated only by the two-particle/two-setting Bell experiment in question. The Bell-Żukowski 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-Żukowski 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-Żukowski inequality.

To appear in Modern Physics Letters A

References in corpus (3)

• Experimental Test of Quantum Nonlocality in Four-photon Greenberger-Horne-Zeilinger Entanglement
• Experimental observation of four-photon entanglement from down-conversion
• Rotational invariance as an additional constraint on local realism