Quantum random walks and thermalisation

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dc.creatorBelton, Alexander C. R.
dc.date2008-10-16
dc.date2009-04-28
dc.date.accessioned2026-07-07T13:08:40Z
dc.date.available2026-07-07T13:08:40Z
dc.descriptionIt is shown how to construct quantum random walks with particles in an arbitrary faithful normal state. A convergence theorem is obtained for such walks, which demonstrates a thermalisation effect: the limit cocycle obeys a quantum stochastic differential equation without gauge terms. Examples are presented which generalise that of Attal and Joye (2007, J. Funct. Anal. 247, 253-288).
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/0810.2927
dc.identifierhttp://arxiv.org/abs/0810.2927
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/228493
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.subject81S25 (Primary); 46L07, 46L53, 46N50 (Secondary)
dc.titleQuantum random walks and thermalisation
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