Non-commutative Nash inequalities
Journal Article
·
· Journal of Mathematical Physics
- NBIA, Niels Bohr Institute, University of Copenhagen, 2100 Copenhagen (Denmark)
- Institute for Quantum Information and Matter, California Institute of Technology, Pasadena California 91125 (United States)
A set of functional inequalities—called Nash inequalities—are introduced and analyzed in the context of quantum Markov process mixing. The basic theory of Nash inequalities is extended to the setting of non-commutative L{sub p} spaces, where their relationship to Poincaré and log-Sobolev inequalities is fleshed out. We prove Nash inequalities for a number of unital reversible semigroups.
- OSTI ID:
- 22479621
- Journal Information:
- Journal of Mathematical Physics, Journal Name: Journal of Mathematical Physics Journal Issue: 1 Vol. 57; ISSN JMAPAQ; ISSN 0022-2488
- Country of Publication:
- United States
- Language:
- English
Similar Records
Quantum logarithmic Sobolev inequalities and rapid mixing
Reverse inequalities in {mu}-deformed Segal-Bargmann analysis
Separability of quantum states and the violation of Bell-type inequalities
Journal Article
·
Wed May 15 00:00:00 EDT 2013
· Journal of Mathematical Physics
·
OSTI ID:22163005
Reverse inequalities in {mu}-deformed Segal-Bargmann analysis
Journal Article
·
Sat Apr 15 00:00:00 EDT 2006
· Journal of Mathematical Physics
·
OSTI ID:20768760
Separability of quantum states and the violation of Bell-type inequalities
Journal Article
·
Wed Mar 31 23:00:00 EST 2004
· Physical Review. A
·
OSTI ID:20640937