Non-commutative Markov chains and multi-analytic operators

Allbwn ymchwil: Cyfraniad at gyfnodolynErthygladolygiad gan gymheiriaid

10 Dyfyniadau (Scopus)
118 Wedi eu Llwytho i Lawr (Pure)

Crynodeb

We 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.
Iaith wreiddiolSaesneg
Tudalennau (o-i)275-288
Nifer y tudalennau14
CyfnodolynJournal of Mathematical Analysis and Applications
Cyfrol364
Rhif cyhoeddi1
Dynodwyr Gwrthrych Digidol (DOIs)
StatwsCyhoeddwyd - 01 Ebr 2010

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