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arXiv · 1411.4787

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

Johannes Kofler·Marissa Giustina·Jan-Åke Larsson·Morgan W. Mitchell
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Abstract

Experimental violations of Bell inequalities are in general vulnerable to so-called "loopholes." In this work, we analyse 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 non-ideal random number generators. We discuss necessary adaptations of the CH/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.

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Johannes Kofler, Marissa Giustina, Jan-Åke Larsson, Morgan W. Mitchell. 2016-03-10. Requirements for a loophole-free photonic Bell test using imperfect setting generators. https://doi.org/10.1103/physreva.93.032115

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