On exponential convergence of generic quantum Markov semigroups in a Wasserstein-type distance
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...
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| Institution: | Escuela Colombiana de Ingeniería |
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| Main Authors: | , |
| Format: | Artículo de revista |
| Language: | English |
| Published: |
Publicaciones académicas Ltd.
2016
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| Subjects: | |
| Online Access: | https://repositorio.escuelaing.edu.co/handle/001/1397 |
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| Summary: | 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.
Investigamos la convergencia exponencial de semigrupos cuánticos genéricos de Markov utilizando una generalización de la seminorma de Lipschitz y un análogo no conmutativo de la distancia de Wasserstein. Se demuestra que está estrechamente relacionado con la tasa de convergencia clásica de las reducciones a las subálgebras diagonales de los semigrupos de Markov genéricos dados, y en particular se calculan las tasas de convergencia de los semigrupos de Markov genéricos.
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| ISSN: | 1311-8080 |
