Preprint Technical Note Version 3 Preserved in Portico This version is not peer-reviewed

Event-Based and LHV Simulation of an EPR-B Experiment: EPR-Simple and EPR-Clocked

Version 1 : Received: 3 January 2020 / Approved: 5 January 2020 / Online: 5 January 2020 (16:51:08 CET)
Version 2 : Received: 8 April 2021 / Approved: 12 April 2021 / Online: 12 April 2021 (12:58:05 CEST)
Version 3 : Received: 12 April 2021 / Approved: 15 April 2021 / Online: 15 April 2021 (13:37:27 CEST)
(This article belongs to the Research Topic Quantum Computing)

How to cite: Gill, R. Event-Based and LHV Simulation of an EPR-B Experiment: EPR-Simple and EPR-Clocked. Preprints 2020, 2020010045 (doi: 10.20944/preprints202001.0045.v3). Gill, R. Event-Based and LHV Simulation of an EPR-B Experiment: EPR-Simple and EPR-Clocked. Preprints 2020, 2020010045 (doi: 10.20944/preprints202001.0045.v3).

Abstract

In this note, I analyze the data generated by M. Fodje's (2013) simulation programs "epr-simple" and "epr-clocked". They were written in Python and published on Github. Inspection of the program descriptions shows 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 (NB: its correctness is conjecture, we do not have proof). 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 should be, within the appropriately adjusted bounds. Fodjes' detection-loophole model turns out to be very, very close to Pearle's famous 1970 model, so the efficiency is close to optimal. The model has the same defect as Pearle's: the joint detection rates exhibit signaling. Fodje's coincidence-loophole model is actually a clever modification of his detection-loophole model. Because of this, however, it cannot lead to optimal efficiency.

Subject Areas

detection-loophole; coincidence-loophole; Bell experiments; quantum entanglement; event-based simulation; EPR-B experiments

Comments (1)

Comment 1
Received: 15 April 2021
Commenter: Richard Gill
Commenter's Conflict of Interests: Author
Comment: Earlier versions incorrectly stated that documentation of Michel Fodje's simulation was inexistent. This version also contains some further explanations of my terminology.
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