Published January 2016
| Submitted + Published
Journal Article
Open
Non-commutative Nash inequalities
- Creators
- Kastoryano, Michael
- Temme, Kristan
Chicago
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Abstract
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_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.
Additional Information
© 2016 AIP Publishing LLC. Received 11 August 2015; accepted 24 November 2015; published online 16 December 2015. M.J.K. was supported by the Carlsbergfond and the Villum foundation. K.T. was supported by the Institute for Quantum Information and Matter, a NSF Physics Frontiers Center with support of the Gordon and Betty Moore Foundation (Grant Nos. PHY-0803371 and PHY-1125565).Attached Files
Published - 1.4937382.pdf
Submitted - 1508.02522v1.pdf
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1508.02522v1.pdf
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Additional details
- Eprint ID
- 64768
- Resolver ID
- CaltechAUTHORS:20160225-134540321
- Carlsbergfond
- Institute for Quantum Information and Matter (IQIM)
- NSF
- PHY-0803371
- NSF
- PHY-1125565
- Villum Foundation
- Gordon and Betty Moore Foundation
- Created
-
2016-02-25Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
- Caltech groups
- Institute for Quantum Information and Matter