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

页码：1289 / 1308

页数：20

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