DocumentCode
2468116
Title
Lyapunov stability for Quantum Markov Processes
Author
Somaraju, Ram ; Petersen, Ian R.
Author_Institution
Sch. of Inf. Technol. & Electr. Eng., Univ. of New South Wales at the Australian Defence Force Acad., Canberra, ACT, Australia
fYear
2009
fDate
10-12 June 2009
Firstpage
719
Lastpage
724
Abstract
In this paper we prove some Lyapunov stability results for Quantum systems. The evolution of open quantum systems can be described using a one parameter semigroup of completely positive operators with which we can associate a minimal quantum Markov dilation. Analogous to Lyapunov stability theorems of classical Markov processes, we develop Lyapunov stability theorems for minimal Markov dilations of quantum systems. This theory depends on a quantum version of Dynkin´s formula.
Keywords
Lyapunov methods; Markov processes; stability; Lyapunov stability; quantum Markov dilation; quantum Markov processes; quantum control; Algebra; Control systems; Extraterrestrial measurements; Lyapunov method; Markov processes; Quantum mechanics; Space technology; Stability; Stochastic processes; Stochastic systems; Lyapunov stability; Quantum Control; Quantum Markov Processes;
fLanguage
English
Publisher
ieee
Conference_Titel
American Control Conference, 2009. ACC '09.
Conference_Location
St. Louis, MO
ISSN
0743-1619
Print_ISBN
978-1-4244-4523-3
Electronic_ISBN
0743-1619
Type
conf
DOI
10.1109/ACC.2009.5160264
Filename
5160264
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