PROBABILITY DENSITY FUNCTION CONTROL OF QUANTUM SYSTEMS

被引：2

作者：

Xing, Yi-Fan ^{[1
]}

Wu, Jun ^{[1
]}

机构：

[1] Zhejiang Univ, Inst Cyber Syst & Control, Hangzhou 310000, Zhejiang, Peoples R China

来源：

INTERNATIONAL JOURNAL OF MODERN PHYSICS B | 2011年 / 25卷 / 17期

基金：

中国国家自然科学基金;

关键词：

Quantum control; probability density function control; stochastic distribution control;

D O I：

10.1142/S0217979211101089

中图分类号：

O59 [应用物理学];

学科分类号：

摘要：

This paper proposes a new method of controlling quantum systems via probability density function (PDF) control. Based on the quantum model from the PDF perspective, two specific control algorithms are proposed for the general case and limited input energy, respectively, Unlike traditional quantum control methods, this method directly controls the probability distribution of the quantum state. It provides an alternative method for quantum control engineering.

引用

页码：2289 / 2297

页数：9

共 12 条

[1] MEASURING THE PROBABILITY DENSITY OF QUANTUM-CONFINED STATES [J].

BETON, PH ;

WANG, J ;

MORI, N ;

EAVES, L ;

MAIN, PC ;

FOSTER, TJ ;

HENINI, M .

PHYSICAL REVIEW LETTERS, 1995, 75 (10) :1996-1999

[2]

Chuang I. N., 2000, Quantum Computation and Quantum Information

[3]

CONG S, 2006, INTRO QUANTUM MECH S

[4] Quantum reinforcement learning [J].

Dong, Daoyi ;

Chen, Chunlin ;

Li, Hanxiong ;

Tarn, Tzyh-Jong .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (05) :1207-1220

[5] Incoherent control of quantum systems with wavefunction-controllable subspaces via quantum reinforcement learning [J].

Dong, Daoyi ;

Chen, Chunlin ;

Tarn, Tzyh-Jong ;

Pechen, Alexander ;

Rabitz, Herschel .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2008, 38 (04) :957-962

[6] Lyapunov control methods of closed quantum systems [J].

Kuang, Sen ;

Cong, Shuang .

AUTOMATICA, 2008, 44 (01) :98-108

[7] Chemistry - Whither the future of controlling quantum phenomena? [J].

Rabitz, H ;

de Vivie-Riedle, R ;

Motzkus, M ;

Kompa, K .

SCIENCE, 2000, 288 (5467) :824-828

[8] A rational spline model approximation and control of output probability density functions for dynamic stochastic systems [J].

Wang, H ;

Yue, H .

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2003, 25 (02) :93-105

[9] Bounded stochastic distributions control for pseudo-ARMAX stochastic systems [J].

Wang, H ;

Zhang, JH .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2001, 46 (03) :486-490

[10]

WANG H, 1998, P IFAC WORKSH ON LIN

← 1 2 →