Time-optimal control of finite quantum systems

被引：8

作者：

Weaver, N ^{[1
]}

机构：

[1] Washington Univ, Dept Math, St Louis, MO 63130 USA

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2000年 / 41卷 / 08期

关键词：

D O I：

10.1063/1.533407

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We investigate time-optimal control of finite quantum systems in the Born approximation. A bang-bang principle is found to follow from a result in [C. A. Akemann and J. Anderson, Mem. Amer. Math. Soc. 458 (1991)]. We also prove existence of time-optimal controls, characterize when they are unique, and assuming uniqueness, explicitly describe them. (C) 2000 American Institute of Physics. [S0022-2488(00)00908-7].

引用

页码：5262 / 5269

页数：8

共 23 条

[1]

AKEMANN CA, 1991, MEM AM MATH SOC, V458

[2] APPLICATION OF QUANTUM STOCHASTIC CALCULUS TO OPTIMAL-CONTROL [J].

BOUKAS, A .

MATHEMATICAL NOTES, 1993, 53 (5-6) :489-494

[3]

BUTKOVSKII AG, 1979, AUTOMAT REM CONTR+, V40, P629

[4]

Butkovskiy A.G., 1990, Control of Quantum-Mechanical Processes and Systems

[5]

HELSON H, 1983, HARMONIC ANAL

[6]

Hermes H., 1969, FUNCTIONAL ANAL TIME

[7] ON THE CONTROLLABILITY OF QUANTUM-MECHANICAL SYSTEMS [J].

HUANG, GM ;

TARN, TJ ;

CLARK, JW .

JOURNAL OF MATHEMATICAL PHYSICS, 1983, 24 (11) :2608-2618

[8] TEACHING LASERS TO CONTROL MOLECULES [J].

JUDSON, RS ;

RABITZ, H .

PHYSICAL REVIEW LETTERS, 1992, 68 (10) :1500-1503

[9] CONTROL-SYSTEMS ON LIE GROUPS [J].

JURDJEVIC, V ;

SUSSMANN, HJ .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1972, 12 (02) :313-+

[10]

Kadison RV, 1986, FUNDAMENTALS THEORY, VII

← 1 2 3 →