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

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