Dilation of a class of quantum dynamical semigroups with unbounded generators on UHF algebras

Goswami, Debashish ; Sahu, Lingaraj ; Sinha, Kalyan B. (2005) Dilation of a class of quantum dynamical semigroups with unbounded generators on UHF algebras Annales de l'Institut Henri Poincare (B): Probability and Statistics, 41 (3). pp. 505-522. ISSN 0246-0203

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Official URL: http://www.sciencedirect.com/science/article/pii/S...

Related URL: http://dx.doi.org/10.1016/j.anihpb.2004.12.001

Abstract

Evans-Hudson flows are constructed for a class of quantum dynamical semigroups with unbounded generator on UHF algebras, which appeared in [Rev. Math. Phys. 5 (3) (1993) 587-600]. It is shown that these flows are unital and covariant. Ergodicity of the flows for the semigroups associated with partial states is also discussed.

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