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Abstract: We study a model of repeated interaction between quantum systems which can bethought of as a non-commutative Markov chain. It is shown that there exists anoutgoing Cuntz scattering system associated to this model which induces aninput-output formalism with a transfer function corresponding to amulti-analytic operator, in the sense of multivariate operator theory. Finallywe show that observability for this system is closely related to the scatteringtheory of non-commutative Markov chains.



Author: Rolf Gohm

Source: https://arxiv.org/



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