Time minimal trajectories for two-level quantum systems with two bounded controls

被引：0
|
作者：
Boscain, Ugo [1 ]
Long, Ruixing [1 ]
机构：
[1] Ecole Polytech, Ctr Appl Math, F-91128 Palaiseau, France
来源：
2012 IEEE 51ST ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2012年
关键词：
D O I：
暂无
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 consider the minimum time population transfer problem for a two level quantum system driven by two external fields with bounded amplitude. After projection on the so-called Bloch sphere, we tackle the problem with well-developed techniques of optimal synthesis on 2-D manifolds. Based on the Pontryagin Maximum Principle, we characterize a restricted set of candidate optimal trajectories. Properties on this set, crucial for a complete optimal synthesis, are illustrated by numerical simulations.
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收藏
页码：3626 / 3631
页数：6
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