Non-Commutative Markov Chains and Multi-Analytic Operators

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dc.creatorGohm, Rolf
dc.date2009-02-19
dc.date.accessioned2026-07-07T12:44:14Z
dc.date.available2026-07-07T12:44:14Z
dc.descriptionWe study a model of repeated interaction between quantum systems which can be thought of as a non-commutative Markov chain. It is shown that there exists an outgoing Cuntz scattering system associated to this model which induces an input-output formalism with a transfer function corresponding to a multi-analytic operator, in the sense of multivariate operator theory. Finally we show that observability for this system is closely related to the scattering theory of non-commutative Markov chains.
dc.description19 pages
dc.identifierhttps://arxiv.org/abs/0902.3445
dc.identifierhttp://arxiv.org/abs/0902.3445
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220698
dc.subjectMathematical Physics
dc.subjectOperator Algebras
dc.subjectQuantum Physics
dc.subject47A13, 46L53, 47A48, 47A40, 81R15
dc.titleNon-Commutative Markov Chains and Multi-Analytic Operators
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