The Gough-James Theory of Quantum Feedback Networks in the Belavkin Representation
arXiv:1005.5644
Abstract
The mathematical theory of quantum feedback networks has recently been developed by Gough and James \cite{QFN1} for general open quantum dynamical systems interacting with bosonic input fields. In this article we show, that their feedback reduction formula for the coefficients of the closed-loop quantum stochastic differential equation can be formulated in terms of Belavkin matrices. We show that the reduction formula leads to a non-commutative Mobius transformation based on Belavkin matrices, and establish a -unitary version of the Siegel identities.
8 pages, no figures To be submited Russian Journal of Mathematical Physics