Requirements for a loophole-free photonic Bell test using imperfect setting generators
Johannes Kofler, Marissa Giustina, Jan-Åke Larsson +1 more
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.
arXiv:1411.4787•Physical Review A•Mar 10, 2016•87 citations