Linear quantum feedback networks

John Edward Gough, Rolf Gohm, Masahiro Yanagisawa

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The mathematical theory of quantum feedback networks has recently been developed [J. Gough and M. R. James, e-print arXiv:0804.3442v2] for general open quantum dynamical systems interacting with bosonic input fields. In this article we show, for the special case of linear dynamical Markovian systems with instantaneous feedback connections, that the transfer functions can be deduced and agree with the algebraic rules obtained in the nonlinear case. Using these rules, we derive the transfer functions for linear quantum systems in series, in cascade, and in feedback arrangements mediated by beam splitter devices.
Original languageEnglish
Article number62104
JournalPhysical Review A
Issue number6
Publication statusPublished - 08 Dec 2008


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