Implementation of classical linear stochastic systems using quantum optical components

The purpose of this paper is to show how classical linear stochastic systems can be physically implemented using quantum optical components. Quantum optical systems typically have much higher bandwidth than electronic devices, meaning faster response and processing times, and hence have a potential for providing better performance than classical systems. A complete procedure is proposed for a stable quantum linear stochastic system realizing a given stable classical linear stochastic system. Some examples are given to illustrate the application of the main results.