Time-Minimal Control of Dissipative Two-Level Quantum Systems: The Generic Case

被引：62
|
作者：
Bonnard, Bernard [1 ]
Chyba, Monique [2 ]
Sugny, Dominique [3 ]
机构：
[1] CNRS, UMR 5584, Inst Math Bourgogne, F-21078 Dijon, France
[2] Univ Hawaii, Dept Math, Honolulu, HI 96822 USA
[3] Univ Bourgogne, CNRS, UMR 5209, Inst Carnot Bourgogne, F-21078 Dijon, France
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 11期
关键词：
Conjugate and cut loci; quantum control; time optimal control;
D O I：
10.1109/TAC.2009.2031212
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 complete preliminary results from [5], [17] concerning the time-minimal control of dissipative two-level quantum systems whose dynamics is governed by the Lindblad equation. The extremal system is described by a 3-D-Hamiltonian depending upon three parameters. We combine geometric techniques with numerical simulations to deduce the optimal solutions.
引用
收藏
页码：2598 / 2610
页数：13
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