Southwest Quantum Information and Technology

The statistical framework for "Chained Bell Inequality Experiment with High-Efficiency Measurements"

Presenting Author: Scott Glancy, National Institute of Standards and Technology
Contributing Author(s): P. Bierhorst, T. R. Tan, Y. Wan, S. Erickson, D. Kienzler, E. Knill, D. Leibfried, and D. J. Wineland

We recently performed correlation measurements on two 9Be+ 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. This poster describes the statistical framework used to quantify the maximum local-realistic fraction in the observed distribution without assuming fair-sampling of the measurements or that the distribution was independent and identical across trials. This framework excludes models of our experiment whose local-realistic fraction is above 0.327 at the 95 % confidence level. Supported by IARPA, ONR, and the NIST Quantum Information program

(Session 5 : Thursday from 5:00pm - 7:00pm)