Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment
Abstract
This paper presents two realizations of linear quantum systems for covariance assignment corresponding to pure Gaussian states. The first one is called a cascade realization; given any covariance matrix corresponding to a pure Gaussian state, we can construct a cascaded quantum system generating that state. The second one is called a locally dissipative realization; given a covariance matrix corresponding to a pure Gaussian state, if it satisfies certain conditions, we can construct a linear quantum system that has only local interactions with its environment and achieves the assigned covariance matrix. Both realizations are illustrated by examples from quantum optics.
Keywords
Cite
@article{arxiv.1604.03182,
title = {Cascade and locally dissipative realizations of linear quantum systems for pure Gaussian state covariance assignment},
author = {Shan Ma and Matthew J. Woolley and Ian R. Petersen and Naoki Yamamoto},
journal= {arXiv preprint arXiv:1604.03182},
year = {2018}
}
Comments
This article is an extension of the conference paper arXiv:1408.2290 by S. Ma, M. J. Woolley, I. R. Petersen and N. Yamamoto