@article{d4d72c3ec31a4eceaefdc0568e246f2e,

title = "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 = "Cascade realization, Covariance assignment, Linear quantum system, Locally dissipative realization, Pure Gaussian state",

author = "Shan Ma and Woolley, {Matthew J.} and Petersen, {Ian R.} and Naoki Yamamoto",

note = "Funding Information: This work was supported by the 111 Project (B17048), the Australian Research Council (ARC) under grant FL110100020, the Air Force Office of Scientific Research (AFOSR), under agreement number FA2386-16-1-4065, the Australian Academy of Science, and JSPS Grant-in-Aid No. 15K06151. The material in this paper was partially presented at the 2014 IEEE Conference on Control Applications (CCA), Oct. 8–10, 2014, Antibes, France. This paper was recommended for publication in revised form by Associate Editor Yoshito Ohta under the direction of Editor Richard Middleton. Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2018",

month = apr,

doi = "10.1016/j.automatica.2017.12.061",

language = "English",

volume = "90",

pages = "263--270",

journal = "Automatica",

issn = "0005-1098",

publisher = "Elsevier Limited",

}