Title :
Control of Quantum Systems Despite Feedback Delay
Author :
Kashima, Kenji ; Yamamoto, Naoki
Author_Institution :
Grad. Sch. of Inf. Sci. & Eng., Tokyo Inst. of Technol., Tokyo
fDate :
4/1/2009 12:00:00 AM
Abstract :
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.
Keywords :
delays; discrete systems; feedback; matrix algebra; stability; delay-dependent stability criterion; density matrices; estimation delays; feedback control; feedback delay; globally stabilizing control law; nonlinear stochastic systems; quantum continuous measurement; quantum spin systems; quantum systems control; semi-algebraic problem approach; Control systems; Delay effects; Delay estimation; Delay systems; Differential equations; Feedback; Quantum mechanics; Stability criteria; Stochastic processes; Stochastic systems; Delay systems; filtering; quantum control; spin systems; sum of squares;
Journal_Title :
Automatic Control, IEEE Transactions on
DOI :
10.1109/TAC.2008.2010969
