Representation and Network Synthesis for a Class of Mixed Quantum-Classical Linear Stochastic Systems
Abstract
The purpose of this paper is to present a network realization theory for a class of mixed quantum-classical linear stochastic systems. Two forms, the standard form and the general form, of this class of linear mixed quantum-classical systems are proposed. Necessary and sufficient conditions for their physical realizability are derived. Based on these physical realizability conditions, a network synthesis theory for this class of linear mixed quantum-classical systems is developed, which clearly exhibits the quantum component, the classical component, and their interface. An example is used to illustrate the theory presented in this paper.
Keywords
Cite
@article{arxiv.1403.6928,
title = {Representation and Network Synthesis for a Class of Mixed Quantum-Classical Linear Stochastic Systems},
author = {Shi Wang and Hendra I. Nurdin and Guofeng Zhang and Matthew R. James},
journal= {arXiv preprint arXiv:1403.6928},
year = {2018}
}
Comments
Accepted version, to appear in the journal Automatica (https://www.journals.elsevier.com/automatica/), 20 pages, 5 figures. A preliminary version of the paper appeared in Proceedings of the 51st IEEE Conference on Decision and Control (CDC), pp. 1093-1098, Maui, Hawaii, USA, 2012