J. S. Bell (1928–1990)

Koji Nagata, Jaewook Ahn

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 find that the average value of Bell–Żukowski operator is evaluated by the two-particle/two-setting Bell experiment in question. Bell–Żukowski 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–Żukowski 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 violation of Bell–Żukowski inequality.

Abner Shimony

Gordon Watson

Bell's famous inequality contradicts ours. But ours holds algebraically, experimentally, classically and quantum-mechanically: Bell's does not. So Bell's inequality is refuted on Bell's terms as we identify his naively-realistic error and correct it.

Abner Shimony

Abner Shimony

Dylan Durieux, Willi-Hans Steeb

We study spin coherent states, Bell states, entanglement, Husimi distributions, uncertainty relation, Bell inequality. The distance between these states is also derived. The Bell matrix, spin coherent states and Bell states are also investigated.