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Frontiers in Optics

Effect of Detector Size and Position on a Test of Born’s Rule Using a Three-Slit Experiment

Christopher J. Brown, Etienne Gagnon, Amy L. Lytle

Published Jan 1, 2013• 0 citations
Publisher

Abstract

Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text C. J. Brown, E. Gagnon, and A. L. Lytle, "Effect of Detector Size and Position on a Test of Born's Rule Using a Three-Slit Experiment," in Frontiers in Optics 2013, I. Kang, D. Reitze, N. Alic, and D. Hagan, eds., OSA Technical Digest (online) (Optica Publishing Group, 2013), paper FTh1C.4. Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article

DOI
10.1364/fio.2013.fth1c.4

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Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text C. J. Brown, E. Gagnon, and A. L. Lytle, "Effect of Detector Size and Position on a Test of Born's Rule Using a Three-Slit Experiment," in Frontiers in Optics 2013, I. Kang, D. Reitze, N. Alic, and D. Hagan, eds., OSA Technical Digest (online) (Optica Publishing Group, 2013), paper FTh1C.4. Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article
Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text D. S. Durfee, B. Neyenhuis, D. Christensen, and C. Erickson, "Ion Interferometers and Massive Photons," in Frontiers in Optics 2008/Laser Science XXIV/Plasmonics and Metamaterials/Optical Fabrication and Testing, OSA Technical Digest (CD) (Optica Publishing Group, 2008), paper LTuB4. Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article
Recent high-precision measurements in a three-slit diffraction experiment [Sinha et al., Science 329, 418 (2010)] have been performed as an explicit test of the validity of Born's rule for quantum probabilities. This experiment aims to establish an upper limit to the possibility of higher-order interference, which, if observed, could support generalization of quantum probability theory. We reproduce this three-slit experiment using position-resolved detection, compare our results to a computational model, and find significant limitations to the normalization scheme proposed by Sinha et al. that influence interpretation. We further show that the dependence of the measurements on detector size and position must be taken into account for proper interpretation of results and meaningful comparison with other experimental schemes.
Get PDF Email Share Share with Facebook Tweet This Post on reddit Share with LinkedIn Add to CiteULike Add to Mendeley Add to BibSonomy Get Citation Copy Citation Text Y. Bromberg, Y. Lahini, R. Morandotti, and Y. Silberberg, "Quantum Optics in Waveguide Lattices," in Frontiers in Optics 2009/Laser Science XXV/Fall 2009 OSA Optics & Photonics Technical Digest, OSA Technical Digest (CD) (Optica Publishing Group, 2009), paper FMG4. Export Citation BibTex Endnote (RIS) HTML Plain Text Citation alert Save article