The Kalman Decomposition for Linear Quantum Stochastic Systems
Quantum Physics
2016-09-21 v1
Abstract
The Kalman decomposition for Linear Quantum Stochastic Systems in the real quadrature operator representation, that was derived indirectly in [1] by the authors, is derived here directly, using the "one-sided symplectic" SVD-like factorization of [2] on the observability matrix of the system.
Cite
@article{arxiv.1609.05982,
title = {The Kalman Decomposition for Linear Quantum Stochastic Systems},
author = {Symeon Grivopoulos and Guofeng Zhang and Ian R. Petersen and John Gough},
journal= {arXiv preprint arXiv:1609.05982},
year = {2016}
}
Comments
Submitted to the 2017 American Control Conference