Chained Bell Inequality Experiment with High-Efficiency Measurements
Abstract
We report correlation measurements on two Be ions that violate a chained Bell inequality obeyed by any local-realistic theory. The correlations can be modeled as derived from a mixture of a local-realistic probabilistic distribution and a distribution that violates the inequality. A statistical framework is formulated to quantify the local-realistic fraction allowable in the observed distribution without the fair-sampling or independent-and-identical-distributions assumptions. We exclude models of our experiment whose local-realistic fraction is above 0.327 at the 95 \% confidence level. This bound is significantly lower than 0.586, the minimum fraction derived from a perfect Clauser-Horne-Shimony-Holt inequality experiment. Furthermore, our data provides a device-independent certification of the deterministically created Bell states.
Cite
@article{arxiv.1612.01618,
title = {Chained Bell Inequality Experiment with High-Efficiency Measurements},
author = {T. R. Tan and Y. Wan and S. Erickson and P. Bierhorst and D. Kienzler and S. Glancy and E. Knill and D. Leibfried and D. J. Wineland},
journal= {arXiv preprint arXiv:1612.01618},
year = {2017}
}