DocumentCode :
3713526
Title :
Robust mean square stability of open quantum stochastic systems with Hamiltonian perturbations in a Weyl quantization form
Author :
Arash Kh. Sichani;Igor G. Vladimirov;Ian R. Petersen
Author_Institution :
UNSW Canberra, ACT 2600, Australia
fYear :
2014
Firstpage :
83
Lastpage :
88
Abstract :
This paper is concerned with open quantum systems whose dynamic variables satisfy canonical commutation relations and are governed by quantum stochastic differential equations. The latter are driven by quantum Wiener processes which represent external boson fields. The system-field coupling operators are linear functions of the system variables. The Hamiltonian consists of a nominal quadratic function of the system variables and an uncertain perturbation which is represented in a Weyl quantization form. Assuming that the nominal linear quantum system is stable, we develop sufficient conditions on the perturbation of the Hamiltonian which guarantee robust mean square stability of the perturbed system. Examples are given to illustrate these results for a class of Hamiltonian perturbations in the form of trigonometric polynomials of the system variables.
Keywords :
"Quantization (signal)","Symmetric matrices","Robustness","Stability analysis","Linear matrix inequalities","Stochastic systems","Quantum mechanics"
Publisher :
ieee
Conference_Titel :
Control Conference (AUCC), 2014 4th Australian
Type :
conf
DOI :
10.1109/AUCC.2014.7358693
Filename :
7358693
Link To Document :
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