A new paper, Experimental violation of three families of Bell’s Inequalities by Lydia Vermeyden, Madeleine Bonsma, Crystal Noel, John Donohue, Elie Wolfe, and Kevin Resch was just published in Physical Review A.
Abstract: Bell’s inequalities are important to our understanding of quantum foundations and critical to several quantum technologies. A recent work [ E. Wolfe and S. F. Yelin Phys. Rev. A 86 012123 (2012)] derived three parametrized families of two-particle, two-setting Bell inequalities. These inequalities are important as they theoretically explore a larger volume of allowed quantum correlations over local hidden-variable models than previous results [ A. Cabello Phys. Rev. A 72 012113 (2005)] by exploiting marginal, or single particle measurements. In this work we subject those predictions to experimental test using nonmaximally entangled photon pairs to optimize the expected violation. We find excellent agreement with the upper bounds predicted by quantum mechanics with violations of the limits imposed by local hidden-variable models as large as almost 30σ for the optimal parameters and a significant violation over a wide range of parameters.