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arXiv · 1612.01618

Chained Bell Inequality Experiment with High-Efficiency Measurements

T. R. Tan·Y. Wan·S. Erickson·P. Bierhorst·D. Kienzler·S. Glancy·E. Knill·D. Leibfried·D. J. Wineland
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Abstract

We report correlation measurements on two $^9$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.

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T. R. Tan, Y. Wan, S. Erickson, P. Bierhorst, D. Kienzler, S. Glancy, E. Knill, D. Leibfried, D. J. Wineland. 2016-12-06. Chained Bell Inequality Experiment with High-Efficiency Measurements. https://doi.org/10.1103/physrevlett.118.130403

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