Please use this identifier to cite or link to this item:
http://hdl.handle.net/2289/4749
Title: | Born Rule(s) |
Authors: | Sinha, Urbasi |
Issue Date: | Sep-2011 |
Publisher: | American Institute of Physics |
Citation: | AIP Conference Proceedings, 2011, Vol.1384, p254-260 |
Abstract: | This paper is based on work published in [1]. It describes a triple slit experiment using single photons that has been used to provide a bound on one of the most fundamental axioms of quantum mechanics i.e. Born's rule for probabilities [2]. In spite of being one of the most successful theories which describes various natural phenomena, quantum mechanics has enough intricacies and ``weirdness'' associated with it which makes many physicists believe that it may not be the final theory and hints towards the possibility of more generalized versions. Quantum interference as shown by a double slit diffraction experiment only occurs from pairs of paths. Even in multi-slit versions, interference can only occur between pairs of possibilities and increasing the number of slits does not increase the complexity of the theory that still remains second-order. However, more generalized versions of quantum mechanics may allow for multi-path i.e. higher than second order interference. This experiment also provides a bound on the magnitude of such higher order interference. We have been able to bound the magnitude of three-path interference to less than 10-2 of the expected two-path interference, thus ruling out third and higher order interference and providing a bound on the accuracy of Born's rule. |
Description: | Restricted Access. An open-access version is available at arXiv.org (one of the alternative locations) |
URI: | http://hdl.handle.net/2289/4749 |
ISSN: | 0094-243X 1551-7616 (online) |
Alternative Location: | http://arxiv.org/abs/ http://dx.doi.org/10.1063/1.3635870 http://adsabs.harvard.edu/abs/2011AIPC.1384..254S |
Copyright: | 2011 American Institute of Physics |
Appears in Collections: | Research Papers (LAMP) |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
2011_AIP Conf Proc_V1384_p254.pdf Restricted Access | Restricted Access | 470.59 kB | Adobe PDF | View/Open Request a copy |
Items in RRI Digital Repository are protected by copyright, with all rights reserved, unless otherwise indicated.