A Realization Method for Transfer Functions of Linear Quantum Stochastic Systems Using Static Networks for Input/Output Processing and Feedback

Understand

The issue of realization of the transfer functions of Linear Quantum Stochastic Systems (LQSSs) is of fundamental importance for the practical applications of such systems, especially as coherent controllers for other quantum systems.

• So far, most works that addressed this problem have used cascade realizations.
• In this work, a new method is proposed, where the transfer function of a LQSS is realized by a series of a pre-processing linear static network, a reduced LQSS, and a post-processing linear static network.
• The introduction of the pre- and post-processing static networks leaves an intermediate reduced LQSS with a simple input/output structure, that is realized by a concatenation of simple cavities.