Squeezing Components in Linear Quantum Feedback Networks

TL;DR

This paper extends linear quantum network theory to include static squeezing components, providing methods for network connections, transfer functions, and illustrating the theory with examples.

Contribution

It introduces a framework for integrating static Bogoliubov components into quantum networks, enabling new analysis and design techniques.

Findings

Developed methods for cascade and feedback connections with squeezers.

Defined input-output maps and transfer functions for quantum components.

Illustrated the theory with multiple practical examples.

Abstract

The aim of this paper is to extend linear quantum dynamical network theory to include static Bogoliubov components (such as squeezers). Within this integrated quantum network theory we provide general methods for cascade or series connections, as well as feedback interconnections using linear fractional transformations. In addition, we define input-output maps and transfer functions for representing components and describing convergence. We also discuss the underlying group structure in this theory arising from series interconnection. Several examples illustrate the theory.