@inproceedings{14f9a11b44a24530876f51b3b5ad733b,
title = "On the physical realizability of general linear quantum stochastic differential equations with complex coefficients",
abstract = "This paper is concerned with the physical realizability of linear Quantum Stochastic Differential Equations (QSDEs). In a recent paper, James, Nurdin and Petersen gave necessary and sufficient conditions for the physical realizability of linear QSDEs with real coefficients. These conditions were algebraic conditions on the system state space matrices. In this paper, we first study general linear QSDEs with complex coefficients and explain how to relate them via unitary transformations to the class of linear QSDEs with real coefficients considered by James, Nurdin Petersen. We use this relation between linear QSDEs with real and complex coefficients to derive necessary and sufficient algebraic conditions for the physical realizability of the general complex linear QSDEs being considered. Then we prove the equivalence between these algebraic conditions and a condition that an associated linear system is (J, J′)-unitary.",
author = "Shaiju, \{A. J.\} and Petersen, \{Ian R.\}",
year = "2009",
doi = "10.1109/CDC.2009.5399947",
language = "English",
isbn = "9781424438716",
series = "Proceedings of the IEEE Conference on Decision and Control",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "1422--1427",
booktitle = "Proceedings of the 48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009",
address = "United States",
note = "48th IEEE Conference on Decision and Control held jointly with 2009 28th Chinese Control Conference, CDC/CCC 2009 ; Conference date: 15-12-2009 Through 18-12-2009",
}