Entropic uncertainty minimum for angle and angular momentum

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
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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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
549871Challenges in Orbital Angular MomentumMiles PadgettEngineering & Physical Sciences Research Council (EPSRC)EP/I012451/1P&A - PHYSICS & ASTRONOMY