Shannon-entropy Control of Quantum Systems

被引:0
作者
Xing, Yifan [1 ]
Wu, Jun [1 ]
机构
[1] Zhejiang Univ, Hangzhou 310027, Zhejiang, Peoples R China
来源
WORLD CONGRESS ON ENGINEERING AND COMPUTER SCIENCE, WCECS 2013, VOL II | 2013年 / Ao,卷
关键词
Quantum control; quantum entropy; quantum information; DYNAMIC-STOCHASTIC SYSTEMS; INFORMATION; DENSITIES;
D O I
暂无
中图分类号
TP39 [计算机的应用];
学科分类号
081203 ; 0835 ;
摘要
This paper proposes a new quantum control method which controls the Shannon entropy of quantum systems. We provide controller design method for the discrete Shannon entropy, which can drive the entropy to track a desired trajectory. We also give the necessary and sufficient conditions under which in very short time the entropy can only increase or decrease. Simulation is done on five dimensional quantum system to show the effectiveness of our algorithm.
引用
收藏
页码:862 / 867
页数:6
相关论文
共 33 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]   CONTROL ENTROPY: A COMPLEXITY MEASURE FOR NONSTATIONARY SIGNALS [J].
Bollt, Erik M. ;
Skufca, Joseph D. ;
McGregor, Stephen J. .
MATHEMATICAL BIOSCIENCES AND ENGINEERING, 2009, 6 (01) :1-25
[3]  
Brukner C, 1999, PHYS REV LETT, V83, P3354, DOI 10.1103/PhysRevLett.83.3354
[4]   Information entropy, information distances, and complexity in atoms [J].
Chatzisavvas, KC ;
Moustakidis, CC ;
Panos, CP .
JOURNAL OF CHEMICAL PHYSICS, 2005, 123 (17)
[5]   Cold atoms and quantum control [J].
Chu, S .
NATURE, 2002, 416 (6877) :206-210
[6]  
Chuang I. N., 2000, Quantum Computation and Quantum Information
[7]   Quantuni-information entropies for highly excited states of single-particle systems with power-type potentials -: art. no. 062109 [J].
Dehesa, JS ;
Martínez-Finkelshtein, A ;
Sorokin, VN .
PHYSICAL REVIEW A, 2002, 66 (06) :7
[8]   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
[9]   Sliding mode control of two-level quantum systems [J].
Dong, Daoyi ;
Petersen, Ian R. .
AUTOMATICA, 2012, 48 (05) :725-735
[10]   Incoherent control of locally controllable quantum systems [J].
Dong, Daoyi ;
Zhang, Chenbin ;
Rabitz, Herschel ;
Pechen, Alexander ;
Tarn, Tzyh-Jong .
JOURNAL OF CHEMICAL PHYSICS, 2008, 129 (15)