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)
How to cite:
Gill, R. Event-Based and LHV Simulation of an EPR-B Experiment: EPR-Simple and EPR-Clocked. Preprints.org2020, 2020010045. https://doi.org/10.20944/preprints202001.0045.v3
Gill, R. Event-Based and LHV Simulation of an EPR-B Experiment: EPR-Simple and EPR-Clocked. Preprints.org 2020, 2020010045. https://doi.org/10.20944/preprints202001.0045.v3
Cite as:
Gill, R. Event-Based and LHV Simulation of an EPR-B Experiment: EPR-Simple and EPR-Clocked. Preprints.org2020, 2020010045. https://doi.org/10.20944/preprints202001.0045.v3
Gill, R. Event-Based and LHV Simulation of an EPR-B Experiment: EPR-Simple and EPR-Clocked. Preprints.org 2020, 2020010045. https://doi.org/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.
Keywords
detection-loophole; coincidence-loophole; Bell experiments; quantum entanglement; event-based simulation; EPR-B experiments
Subject
Computer Science and Mathematics, Probability and Statistics
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.
Commenter: Richard Gill
Commenter's Conflict of Interests: Author