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Title: Entropic uncertainty relations in multidimensional position and momentum spaces

Abstract

Commutator-based entropic uncertainty relations in multidimensional position and momentum spaces are derived, twofold generalizing previous entropic uncertainty relations for one-mode states. They provide optimal lower bounds and imply the multidimensional variance-based uncertainty principle. The article concludes with an open conjecture.

Authors:
 [1]
  1. 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 1050-2947
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COMMUTATORS; ENTROPY; MANY-DIMENSIONAL 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 = {Commutator-based entropic uncertainty relations in multidimensional position and momentum spaces are derived, twofold generalizing previous entropic uncertainty relations for one-mode states. They provide optimal lower bounds and imply the multidimensional variance-based uncertainty principle. The article concludes with an open conjecture.},
doi = {10.1103/PHYSREVA.83.052124},
journal = {Physical Review. A},
issn = {1050-2947},
number = 5,
volume = 83,
place = {United States},
year = {2011},
month = {5}
}