Generalized repeated interaction model and transfer functions

Details Generalized repeated interaction model and transfer functions Generalized repeated interaction model and transfer functions

2011-12-20

arxiv.org/abs/1112.4590v1

Mathematics

Operator Algebras

Scientific paper

Using a scheme involving a lifting of a row contraction we introduce a toy model of repeated interactions between quantum systems. In this model there is an outgoing Cuntz scattering system involving two wandering subspaces. We associate to this model an in- put/output linear system which leads to a transfer function. This transfer function is a multi-analytic operator, and we show that it is inner if we assume that the system is observable. Finally it is established that transfer functions coincide with characteristic functions of associated liftings.

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