To statistically quantify the evidence against local realism in an experiment, it is desirable to bound the probability according to local realism of a violation at least as high as that observed. We describe an efficient protocol for computing such a bound from any set of Bell inequalities for any number of parties, measurement settings, or outcomes. The bound depends on the choice and number of Bell inequalities, and generally, more inequalities make the bound asymptotically tighter. We find that even trivial Bell inequalities such as those derived from no-signaling conditions can improve the tightness of the bound.
Citation: Physical Review Letters
Pub Type: Journals
Bell inequalities, foundations of quantum mechanics, local realism Bell inequalities, local realism, foundations of quantum mechanics