Non-commutative Markov chains and multi-analytic operators

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:364

Article

Gohm, Rolf

关键词: Repeated interaction;    Open quantum system;    Non-commutative Markov chain;    Multivariate operator theory;    Row contraction;    Outgoing Cuntz scattering system;    Transfer function;    Multi-analytic operator;    Input-output formalism;    Linear system;    Quantum control;    Observability;    Scattering theory;    Characteristic function;   

DOI  :  10.1016/j.jmaa.2009.11.021

来源: Elsevier

【 摘 要 】

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. (C) 2009 Elsevier Inc. All rights reserved.

【 授权许可】

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