Time optimal simultaneous control of two level quantum systems

被引：14

作者：

Albertini, Francesca ^{[1
]}

D'Alessandro, Domenico ^{[2
]}

机构：

[1] Univ Padua, Dipartimento Tecn & Gest Sistemi Ind, I-35100 Padua, Italy

[2] Iowa State Univ, Dept Math, Ames, IA USA

来源：

AUTOMATICA | 2016年 / 74卷

关键词：

Time optimal control; Systems on Lie groups; Control of quantum mechanical systems; SYMMETRY;

D O I：

10.1016/j.automatica.2016.07.014

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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. (C) 2016 Elsevier Ltd. All rights reserved.

引用

页码：55 / 62

页数：8

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