Control of quantum systems despite feedback delay

Kenji Kashima; Naoki Yamamoto

doi:10.1109/TAC.2008.2010969

Control of quantum systems despite feedback delay

Kenji Kashima, Naoki Yamamoto

Department of Applied Physics and Physico-Informatics

Research output: Contribution to journal › Article › peer-review

14 Citations (Scopus)

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.

Original language	English
Pages (from-to)	876-881
Number of pages	6
Journal	IEEE Transactions on Automatic Control
Volume	54
Issue number	4
DOIs	https://doi.org/10.1109/TAC.2008.2010969
Publication status	Published - 2009

Keywords

Delay systems
Filtering
Quantum control
Spin systems
Sum of squares

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
Electrical and Electronic Engineering

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10.1109/TAC.2008.2010969

Cite this

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KW - Spin systems

KW - Sum of squares

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Control of quantum systems despite feedback delay

Abstract

Keywords

ASJC Scopus subject areas

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