Partial Feedback Control of Quantum Systems Using Probabilistic Fuzzy Estimator

被引:5
作者
Chen, Chunlin [1 ]
Rigatos, Gerasimos G. [2 ]
Dong, Daoyi [3 ,4 ]
Lam, James [5 ]
机构
[1] Nanjing Univ, Sch Management & Engn, Dept Control & Syst Engn, State Key Lab Novel Software Technol, Nanjing 210093, Jiangsu, Peoples R China
[2] Inst Ind Syst, Unit Ind Automat, Patras GR-26504, Greece
[3] Zhejiang Univ, State Key Lab Ind Control Technol, Hangzhou, Zhejiang, Peoples R China
[4] Univ New S Wales, Australian Def Force Acad, Sch Engn & Informat Technol, Canberra, ACT 2600, Australia
[5] Univ Hong Kong, Dept Mech Engn, Hong Kong, Hong Kong, Peoples R China
来源
PROCEEDINGS OF THE 48TH IEEE CONFERENCE ON DECISION AND CONTROL, 2009 HELD JOINTLY WITH THE 2009 28TH CHINESE CONTROL CONFERENCE (CDC/CCC 2009) | 2009年
关键词
quantum system; quantum feedback control; partial feedback; probabilistic fuzzy estimator; controlled quantum measurement;
D O I
10.1109/CDC.2009.5399492
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
A partial feedback control scheme with a probabilistic fuzzy estimator (PFE) is presented for the robust control of quantum systems. In this scheme, a probabilistic fuzzy simulator is trained to estimate the quantum states for feedback control of quantum systems. Usually, the estimated state is fed back to design a controller. However, when the estimated quantum state is an almost-eigenstate, a projective measurement will be triggered for the quantum system and the measurement results will be fed back to construct the controller and regulate the fuzzy estimator. This scheme is a partial feedback strategy with controlled discontinuous measurement, where the quantum measurement serves as a control tool and is helpful for driving the quantum system to a desired state tracking even in the presence of unknown disturbances and stochastic noises. An example of a two-spin-1/2 system is also presented to demonstrate the proposed approach.
引用
收藏
页码:3805 / 3810
页数:6
相关论文
共 19 条
[1]   Continuous quantum error correction via quantum feedback control [J].
Ahn, C ;
Doherty, AC ;
Landahl, AJ .
PHYSICAL REVIEW A, 2002, 65 (04) :10
[2]   Feedback control of quantum systems using continuous state estimation [J].
Doherty, AC ;
Jacobs, K .
PHYSICAL REVIEW A, 1999, 60 (04) :2700-2711
[3]   Quantum feedback control and classical control theory [J].
Doherty, AC ;
Habib, S ;
Jacobs, K ;
Mabuchi, H ;
Tan, SM .
PHYSICAL REVIEW A, 2000, 62 (01) :13
[4]   Information-technology approach to quantum feedback control [J].
Dong, Dao-Yi ;
Zhang, Chen-Bin ;
Chen, Zong-Hai ;
Chen, Chun-Lin .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2006, 20 (11-13) :1304-1316
[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]   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)
[7]   Sliding mode control of quantum systems [J].
Dong, Daoyi ;
Petersen, Ian R. .
NEW JOURNAL OF PHYSICS, 2009, 11
[8]  
Franklin J. N., 2000, MATRIX THEORY
[9]   H∞ control of linear quantum stochastic systems [J].
James, Matthew R. ;
Nurdin, Hendra I. ;
Petersen, Ian R. .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (08) :1787-1803
[10]   A probabilistic fuzzy logic system for modeling and control [J].
Liu, Z ;
Li, HX .
IEEE TRANSACTIONS ON FUZZY SYSTEMS, 2005, 13 (06) :848-859