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arXiv:1312.6360 · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE

Event-by-event simulation of experiments to create entanglement and violate Bell inequalities

Kristel F. L. Michielsen, Hans A. De Raedt

Published Oct 1, 2013• 2 citations
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Abstract

We discuss a discrete-event, particle-based simulation approach which reproduces the statistical distributions of Maxwell's theory and quantum theory by generating detection events one-by-one. This event-based approach gives a unified cause-and-effect description of quantum optics experiments such as single-photon Mach-Zehnder interferometer, Wheeler's delayed choice, quantum eraser, double-slit, Einstein-Podolsky-Rosen-Bohm and Hanbury Brown-Twiss experiments, and various neutron interferometry experiments at a level of detail which is not covered by conventional quantum theoretical descriptions. We illustrate the approach by application to single-photon Einstein-Podolsky-Rosen-Bohm experiments and single-neutron interferometry experiments that violate a Bell inequality.

DOI
10.1117/12.2021863

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We present a corpuscular simulation model of optical phenomena that does not require the knowledge of the solution of a wave equation of the whole system and reproduces the results of Maxwell’s theory by generating detection events one‐by‐one. The event‐based corpuscular model gives a unified description of multiple‐beam fringes of a plane parallel plate and single‐photon Mach‐Zehnder interferometer, Wheeler’s delayed choice, photon tunneling, quantum eraser, two‐beam interference, double‐slit, Einstein‐Podolsky‐Rosen‐Bohm and Hanbury Brown‐Twiss experiments. We also discuss the possibility to refute our corpuscular model.
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A corpuscular simulation model of optical phenomena that does not require the knowledge of the solution of a wave equation of the whole system and reproduces the results of Maxwell's theory by generating detection events one-by-one is discussed. The event-based corpuscular model gives a unified description of multiple-beam fringes of a plane parallel plate and single-photon Mach-Zehnder interferometer, Wheeler's delayed choice, photon tunneling, quantum eraser, two-beam interference, Einstein-Podolsky-Rosen-Bohm and Hanbury Brown-Twiss experiments. The approach is illustrated by application to a recent proposal for a quantum-controlled delayed choice experiment, demonstrating that also this thought experiment can be understood in terms of particle processes only.
Abstract A discrete‐event simulation approach is reviewed that does not require the knowledge of the solution of the wave equation of the whole system, yet reproduces the statistical distributions of wave theory by generating detection events one‐by‐one. The simulation approach is illustrated by applications to a two‐beam interference experiment and two Bell test experiments, an Einstein‐Podolsky‐Rosen‐Bohm experiment with single photons employing post‐selection for pair identification and a single‐neutron Bell test interferometry experiment with nearly 100 % detection efficiency.