Non-Commutative Markov Chains and Multi-Analytic Operators
Mathematical Physics
2009-02-20 v1 math.MP
Operator Algebras
Quantum Physics
Abstract
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.
Cite
@article{arxiv.0902.3445,
title = {Non-Commutative Markov Chains and Multi-Analytic Operators},
author = {Rolf Gohm},
journal= {arXiv preprint arXiv:0902.3445},
year = {2009}
}
Comments
19 pages