A Kochen-Specker inequality

Abstract

By probabilistic means, the concept of contextuality is extended so that it can be used in non-ideal situations. An inequality is presented, which at least in principle enables a test to discard non-contextual hidden-variable models at low error rates, in the spirit of the Kochen-Specker theorem. Assuming that the errors are independent, an explicit error bound of 1.42% is derived, below which a Kochen-Specker contradiction occurs.Comment: revtex, 5 pages, 1 figure. v2: journal version (results extended somewhat), epl LaTeX class, 8 pages, 1 figur