Yao, A. M., Brougham, T., Eleftheriadou, E., Padgett, M. J. and Barnett, S. M. (2014) Entropic uncertainty minimum for angle and angular momentum. Journal of Optics, 16(10), p. 105404. (doi: 10.1088/2040-8978/16/10/105404)
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Publisher's URL: http://dx.doi.org/10.1088/2040-8978/16/10/105404
Abstract
Uncertainty relations are key components in the understanding of the nature of quantum mechanics. In particular, entropic relations are preferred in the study of angular position and angular momentum states. We propose a new form of angle–angular momentum state that provides, for all practical purposes, a lower bound on the entropic uncertainty relation, Hφ + Hm, for any given angular uncertainty, thus improving upon previous bounds. We establish this by comparing this sum with the absolute minimum value determined by a global numerical search. These states are convenient to work with both analytically and experimentally, which suggests that they may be of use for quantum information purposes.
Item Type: | Articles |
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Status: | Published |
Refereed: | Yes |
Glasgow Author(s) Enlighten ID: | Padgett, Professor Miles and Barnett, Professor Stephen and Brougham, Dr Thomas and Yao, Dr Alison |
Authors: | Yao, A. M., Brougham, T., Eleftheriadou, E., Padgett, M. J., and Barnett, S. M. |
College/School: | College of Science and Engineering > School of Physics and Astronomy |
Journal Name: | Journal of Optics |
Publisher: | Institute of Physics Publishing Ltd. |
ISSN: | 2040-8978 |
ISSN (Online): | 2040-8986 |
Copyright Holders: | Copyright © 2014 The Authors |
First Published: | First published in Journal of Optics 16(10):105404 |
Publisher Policy: | Reproduced under a Creative Commons License |
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