Richard David Gill

In this note, I analyse the code the data generated by M. Fodje's (2013, 2014) simulation programs epr-simple and epr-clocked. They are written in Python and were published on Github. Inspection of the program descriptions show that they make use of the detection-loophole and the coincidence-loophole respectively. I evaluate them with appropriate modified Bell-CHSH type inequalities: the Larsson detection-loophole adjusted CHSH, and the Larsson-Gill coincidence-loophole adjusted CHSH. The experimental efficiencies turn out to be approximately eta = 81% (close to optimal) and gamma = 55% (far from optimal). The observed values of CHSH are, as they must be, within the appropriate adjusted bounds Fodjes' detection-loophole model turns out to be very, very close to Pearle's famous 1970 model, so the efficiency is very close to optimal. The model also has the same defect as Pearle's: the joint detection rates exhibit signalling. Fodje's coincidence-loophole model is actually an elegant modification of his detection-loophole model. Because of this, however, it cannot lead to the optimal efficiency.

This is version 11 of this preprint. Earlier versions incorrectly stated that documentation of Michel Fodje's simulation was inexistent. This version also contains some further explanations of my terminology.