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Title: Entropic uncertainty relations in multidimensional position and momentum spaces

Journal Article · · Physical Review. A
 [1]
  1. Department of Physics, University of California, Berkeley, Berkeley, California 94720 (United States)

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.

OSTI ID:
21546713
Journal Information:
Physical Review. A, Vol. 83, Issue 5; Other Information: DOI: 10.1103/PhysRevA.83.052124; (c) 2011 American Institute of Physics; ISSN 1050-2947
Country of Publication:
United States
Language:
English