DocumentCode :
727991
Title :
Covariance matrix tracking coherent observers for linear quantum stochastic systems
Author :
Zibo Miao ; Hush, Michael R. ; James, Matthew R.
Author_Institution :
ARC Centre for Quantum Comput. & Commun. Technol., Australian Nat. Univ., Canberra, ACT, Australia
fYear :
2015
fDate :
1-3 July 2015
Firstpage :
74
Lastpage :
79
Abstract :
It is becoming apparent that coherent feedback control of quantum systems has significant advantages over measurement-based control, but not much progress has been made on coherent estimators. In our previous work, a class of coherent quantum observers was developed, which tracks linear quantum stochastic systems in the sense of mean values. However, in the majority of quantum technologies, apart from mean value quantities, correlations and variances are critical elements because they are connected with energy and entanglement. Therefore, in this paper, we create a covariance matrix tracking (CMT) coherent observer that enables the asymptotic tracking of both the mean and covariance matrix of a quantum system. The existence of CMT observers is analyzed, and a sufficient and necessary condition is provided to ensure the physical realization of CMT observers to be consistent with the laws of quantum mechanics. The performance of a CMT vs. mean tracking coherent observer is compared in an illustrated example, and we demonstrate for the first time coherent tracking of entanglement. These results shed light on observer-based coherent control design.
Keywords :
control system synthesis; covariance matrices; feedback; linear systems; observers; quantum entanglement; stochastic systems; CMT coherent observer; CMT observer existence analysis; asymptotic tracking; coherent feedback control; coherent quantum observers; covariance matrix tracking coherent observers; linear quantum stochastic systems; mean tracking coherent observer; measurement-based control; necessary condition; observer-based coherent control design; quantum entanglement; quantum mechanics; quantum technology; sufficient condition; Covariance matrices; Observers; Oscillators; Quantum entanglement; Steady-state; Stochastic systems;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
American Control Conference (ACC), 2015
Conference_Location :
Chicago, IL
Print_ISBN :
978-1-4799-8685-9
Type :
conf
DOI :
10.1109/ACC.2015.7170714
Filename :
7170714
Link To Document :
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