A J-spectral Factorization Condition for the Physical Realizability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise

TL;DR

This paper establishes a J-spectral factorization criterion for realizing strictly proper transfer functions as physically implementable quantum systems with direct feedthrough quantum noise, including a necessary frequency response condition.

Contribution

It introduces a novel J-spectral factorization condition for quantum system realization using direct feedthrough noise, advancing the theoretical understanding of quantum system synthesis.

Findings

Provides a new J-spectral factorization condition

Includes a necessary frequency response condition

Illustrates results with examples

Abstract

This paper gives a J-spectral factorization condition for the implementation of a strictly proper transfer function matrix as a physically realizable quantum system using only direct feedthrough quantum noise. A necessary frequency response condition is also presented. Examples are included to illustrate the main results.