Quantum Optical Realization of Classical Linear Stochastic Systems

TL;DR

This paper demonstrates how classical linear stochastic systems can be physically realized using quantum optical components, leveraging their high bandwidth for improved performance.

Contribution

It provides a systematic procedure for constructing quantum optical realizations of classical systems and explores their application in measurement feedback loops.

Findings

Quantum optical systems offer higher bandwidth than electronic devices.

A method for constructing quantum optical realizations is developed.

Examples illustrate the application in feedback control.

Abstract

The purpose of this paper is to show how a class of 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 has the potential for providing better performance than classical systems. A procedure is provided for constructing the quantum optical realization. The paper also describes the use of the quantum optical realization in a measurement feedback loop. Some examples are given to illustrate the application of the main results.