Control of Quantum Systems Despite Feedback Delay

被引：27

作者：

Kashima, Kenji ^{[1
]}

Yamamoto, Naoki ^{[2
]}

机构：

[1] Tokyo Inst Technol, Grad Sch Informat Sci & Engn, Tokyo 1528552, Japan

[2] Keio Univ, Dept Appl Phys & Physicoinformat, Yokohama, Kanagawa 2238522, Japan

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2009年 / 54卷 / 04期

关键词：

Delay systems; filtering; quantum control; spin systems; sum of squares; EXPONENTIAL STABILITY;

D O I：

10.1109/TAC.2008.2010969

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Feedback control (based on the quantum continuous measurement) of quantum systems inevitably suffers from estimation delays. In this technical note we give a delay-dependent stability criterion for a wide class of nonlinear stochastic systems including quantum spin systems. We utilize a semi-algebraic problem approach to incorporate the structure of density matrices. To show the effectiveness of the result, we derive a globally stabilizing control law for a quantum spin-1/2 systems in the face of feedback delays.

引用

页码：876 / 881

页数：6

共 37 条

[1] Martingale models for quantum state reduction [J].

Adler, SL ;

Brody, DC ;

Brun, TA ;

Hughston, LP .

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2001, 34 (42) :8795-8820

[2] Quantum error correction for continuously detected errors [J].

Ahn, C ;

Wiseman, HM ;

Milburn, GJ .

PHYSICAL REVIEW A, 2003, 67 (05) :11

[3] Continuous quantum error correction via quantum feedback control [J].

Ahn, C ;

Doherty, AC ;

Landahl, AJ .

PHYSICAL REVIEW A, 2002, 65 (04) :10

[4]

ALTAFINI C, 2005, ARXIVQUANTPH0510222

[5] QUANTUM CONTINUAL MEASUREMENTS AND A POSTERIORI COLLAPSE ON CCR [J].

BELAVKIN, VP .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 146 (03) :611-635

[6] QUANTUM STOCHASTIC CALCULUS AND QUANTUM NONLINEAR FILTERING [J].

BELAVKIN, VP .

JOURNAL OF MULTIVARIATE ANALYSIS, 1992, 42 (02) :171-201

[7]

BELAVKIN VP, 1980, RADIOTEKH ELEKTRON+, V25, P1445

[8] Bellman equations for optimal feedback control of qubit states [J].

Bouten, L ;

Edwards, S ;

Belavkin, VP .

JOURNAL OF PHYSICS B-ATOMIC MOLECULAR AND OPTICAL PHYSICS, 2005, 38 (03) :151-160

[9]

Bouten L., 2008, QUANTUM STOCHASTICS

[10] An introduction to quantum filtering [J].

Bouten, Luc ;

Van Handel, Ramon ;

James, Matthew R. .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2007, 46 (06) :2199-2241

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