arXiv Analytics

Sign in

arXiv:0804.2648 [math-ph]AbstractReferencesReviewsResources

Uncertainty principle for Wigner-Yanase-Dyson information in semifinite von Neumann algebras

Paolo Gibilisco, Tommaso Isola

Published 2008-04-16Version 1

Recently Kosaki proved an uncertainty principle for matrices, related to Wigner-Yanase-Dyson information, and asked if a similar inequality could be proved in the von Neumann algebra setting. In this paper we prove such an uncertainty principle in the semifinite case.

Journal: Infinite Dimensional Analysis, Quantum Probability and Related Topics, Vol. 11, No. 1 (2008) 127-133
Categories: math-ph, math.MP, math.OA
Subjects: 62B10, 94A17, 46L30, 46L60
Related articles: Most relevant | Search more
arXiv:0804.2651 [math-ph] (Published 2008-04-16)
An inequality related to uncertainty principle in von Neumann algebras
arXiv:0707.1147 [math-ph] (Published 2007-07-08, updated 2007-10-11)
Uncertainty principle with quantum Fisher information
arXiv:1303.2590 [math-ph] (Published 2013-03-11)
Born-Jordan Quantization and the Uncertainty Principle

Links

Toolbox