English

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

Quantum Physics 2022-09-07 v1 Systems and Control Systems and Control

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.

Keywords

Cite

@article{arxiv.2209.01730,
  title  = {A J-spectral Factorization Condition for the Physical Realizability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise},
  author = {Rebbecca TY Thien and Shanon L. Vuglar and Ian R. Petersen},
  journal= {arXiv preprint arXiv:2209.01730},
  year   = {2022}
}