Entropic uncertainty relations in multidimensional position and momentum spaces
Abstract
Commutatorbased entropic uncertainty relations in multidimensional position and momentum spaces are derived, twofold generalizing previous entropic uncertainty relations for onemode states. They provide optimal lower bounds and imply the multidimensional variancebased uncertainty principle. The article concludes with an open conjecture.
 Authors:

 Department of Physics, University of California, Berkeley, Berkeley, California 94720 (United States)
 Publication Date:
 OSTI Identifier:
 21546713
 Resource Type:
 Journal Article
 Journal Name:
 Physical Review. A
 Additional Journal Information:
 Journal Volume: 83; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.83.052124; (c) 2011 American Institute of Physics; Journal ID: ISSN 10502947
 Country of Publication:
 United States
 Language:
 English
 Subject:
 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMMUTATORS; ENTROPY; MANYDIMENSIONAL CALCULATIONS; MATHEMATICAL SPACE; UNCERTAINTY PRINCIPLE; MATHEMATICAL OPERATORS; PHYSICAL PROPERTIES; QUANTUM OPERATORS; SPACE; THERMODYNAMIC PROPERTIES
Citation Formats
Yichen, Huang. Entropic uncertainty relations in multidimensional position and momentum spaces. United States: N. p., 2011.
Web. doi:10.1103/PHYSREVA.83.052124.
Yichen, Huang. Entropic uncertainty relations in multidimensional position and momentum spaces. United States. doi:10.1103/PHYSREVA.83.052124.
Yichen, Huang. Sun .
"Entropic uncertainty relations in multidimensional position and momentum spaces". United States. doi:10.1103/PHYSREVA.83.052124.
@article{osti_21546713,
title = {Entropic uncertainty relations in multidimensional position and momentum spaces},
author = {Yichen, Huang},
abstractNote = {Commutatorbased entropic uncertainty relations in multidimensional position and momentum spaces are derived, twofold generalizing previous entropic uncertainty relations for onemode states. They provide optimal lower bounds and imply the multidimensional variancebased uncertainty principle. The article concludes with an open conjecture.},
doi = {10.1103/PHYSREVA.83.052124},
journal = {Physical Review. A},
issn = {10502947},
number = 5,
volume = 83,
place = {United States},
year = {2011},
month = {5}
}
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