IJPAM: Volume 107, No. 4 (2016)

ON EXPONENTIAL CONVERGENCE OF GENERIC
QUANTUM MARKOV SEMIGROUPS IN
A WASSERSTEIN-TYPE DISTANCE

J. Agredo
Department of Mathematics
National University of Colombia
and
Department of Mathematics
Colombian School of Engineering Julio Garavito
Bogotá, COLOMBIA


Abstract. We investigate about exponential convergence for generic quantum Markov semigroups using an generalization of the Lipschitz seminorm and a noncommutative analogue of Wasserstein distance. We show turns out to be closely related with classical convergence rate of reductions to diagonal subalgebras of the given generic quantum Markov semigroups.In particular we compute the convergence rates of generic quantum Markov semigroups.

Received: January 30, 2016

AMS Subject Classification: 81S22, 60J27

Key Words and Phrases: quantum Markov semigroups, Wasserstein distance, exponential convergence

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DOI: 10.12732/ijpam.v107i4.9 How to cite this paper?

Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2016
Volume: 107
Issue: 4
Pages: 909 - 925


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