Time optimal simultaneous control of two level quantum systems

In this paper, we solve the problem of simultaneously driving, in minimum time, to arbitrary final conditions, N two level quantum systems subject to independent controls. The solution of this problem is obtained via an explicit description of the reachable set of the associated control system on SU...

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Bibliographic Details
Published inAutomatica (Oxford) Vol. 74; pp. 55 - 62
Main Authors Albertini, Francesca, D’Alessandro, Domenico
Format Journal Article
LanguageEnglish
Published Elsevier Ltd 01.12.2016
Subjects
Control of quantum mechanical systems
Systems on Lie groups
Time optimal control
Time optimal control
Control of quantum mechanical systems
Systems on Lie groups
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ISSN0005-1098
1873-2836
DOI10.1016/j.automatica.2016.07.014

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Summary:In this paper, we solve the problem of simultaneously driving, in minimum time, to arbitrary final conditions, N two level quantum systems subject to independent controls. The solution of this problem is obtained via an explicit description of the reachable set of the associated control system on SU(2). The treatment generalizes previous results on the time optimal control of two level quantum systems and suggests that similar techniques could be used to solve the minimum time control problem for a larger class of right invariant systems on Lie groups.
ISSN:0005-1098
1873-2836
DOI:10.1016/j.automatica.2016.07.014