TIME-MINIMAL CONTROL OF DISSIPATIVE TWO-LEVEL QUANTUM SYSTEMS: THE INTEGRABLE CASE

被引：47
|
作者：
Bonnard, Bernard [1 ]
Sugny, Dominique [2 ]
机构：
[1] CNRS, UMR 5584, Inst Math Bourgogne, F-21078 Dijon, France
[2] Univ Bourgogne, CNRS, UMR 5209, Inst Carnot Bourgogne, F-21078 Dijon, France
来源：
SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2009年 / 48卷 / 03期
关键词：
optimal control; conjugate and cut loci; quantum control; RIEMANNIAN-MANIFOLDS;
D O I：
10.1137/080717043
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
The objective of this article is to apply recent developments in geometric optimal control to analyze the time minimum control problem of dissipative two-level quantum systems whose dynamics is governed by the Lindblad equation. We focus our analysis on the case where the extremal Hamiltonian is integrable.
引用
收藏
页码：1289 / 1308
页数：20
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