Violation of Bell inequalities for beables is well-known to be possible because of what has become known as the “conspiracy” loophole, but this route to a beables model is properly discounted as implausible, essentially because it requires correlations between instrument settings and hidden beables. This paper identifies a further loophole, called here the “correlation” loophole, which is more ...

We provide an overview of the connections between Bell's inequalities and algebraic structure.

Relatively few families of Bell inequalities have previously been identified. Some examples are the trivial, CHSH, Imm22, and CGLMP inequalities. This paper presents a large number of new families of tight Bell inequalities for the case of many observables. For example, 44,368,793 inequivalent tight Bell inequalities other than CHSH are obtained for the case of 2 parties each with 10 2-valued o...

Submitted for the MAR14 Meeting of The American Physical Society Avoiding Loopholes with Hybrid Bell-Leggett-Garg Inequalities JUSTIN DRESSEL, ALEXANDER KOROTKOV, Univ of California Riverside — By combining the postulates of macrorealism with Bell-locality, we derive a qualitatively different hybrid inequality that avoids two loopholes that commonly appear in Leggett-Garg and Bell inequalities....