Implementation of Bilinear Hamiltonian Interactions between Linear   Quantum Stochastic Systems via Feedback
  A number of recent works employ bilinear Hamiltonian interactions between Linear Quantum Stochastic Systems (LQSSs). Contrary to naturally occurring Hamiltonian interactions between physical systems, such interactions must be engineered. In this work, we propose a simple model for the implementation of an arbitrary bilinear interaction between two given LQSSs via a feedback interconnection. 
Symeon Grivopoulos, Ian R. Petersen
quant-ph math.OC