TY - JOUR
T1 - Linear quantum feedback networks
AU - Gough, J. E.
AU - Gohm, R.
AU - Yanagisawa, M.
PY - 2008/12/8
Y1 - 2008/12/8
N2 - The mathematical theory of quantum feedback networks has recently been developed 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.
AB - The mathematical theory of quantum feedback networks has recently been developed 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.
UR - http://www.scopus.com/inward/record.url?scp=57649114728&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.78.062104
DO - 10.1103/PhysRevA.78.062104
M3 - Article
SN - 1050-2947
VL - 78
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
M1 - 062104
ER -