Requirements for a loophole-free photonic Bell test using imperfect setting generators

Author(s): J. Kofler, M. Giustina, J-A. Larsson, M. W. Mitchell

Journal: Physical Review A

Volume: 93

Year: 2016

DOI Number: 10.1103/PhysRevA.93.032115

Link: Link to publication


Experimental violations of Bell inequalities are in general vulnerable to so-called loopholes. In this work, we analyze the characteristics of a loophole-free Bell test with photons, closing simultaneously the locality, freedom-of-choice, fair-sampling (i.e., detection), coincidence-time, and memory loopholes. We pay special attention to the effect of excess predictability in the setting choices due to nonideal random-number generators. We discuss necessary adaptations of the Clauser-Horne and Eberhard inequality when using such imperfect devices and—using Hoeffding's inequality and Doob's optional stopping theorem—the statistical analysis in such Bell tests.

Note: Issue 3

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