Filter-based feedback control for a class of markovian open quantum systems

Yanan Liu; Daoyi Dong; Ian R. Petersen; Hidehiro Yonezawa

doi:10.1109/LCSYS.2019.2912927

Filter-based feedback control for a class of markovian open quantum systems

Yanan Liu^*, Daoyi Dong, Ian R. Petersen, Hidehiro Yonezawa

^*Corresponding author for this work

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

6 Citations (Scopus)

Abstract

This letter considers target state preparation for Markovian open quantum systems subject to continuous measurement. Conditions on invariant and attractive subspaces are investigated, which ensure the stabilization of the target state/subspace. For a class of open quantum systems with time delay in the feedback loop, a bang-bang-like control law is proposed, and the stability of the feedback control strategy is proved. An example of four-level Markovian open quantum systems is presented to demonstrate the effectiveness of the proposed control strategy.

Original language	English
Article number	8695797
Pages (from-to)	565-570
Number of pages	6
Journal	IEEE Control Systems Letters
Volume	3
Issue number	3
DOIs	https://doi.org/10.1109/LCSYS.2019.2912927
Publication status	Published - Jul 2019

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10.1109/LCSYS.2019.2912927

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title = "Filter-based feedback control for a class of markovian open quantum systems",

abstract = "This letter considers target state preparation for Markovian open quantum systems subject to continuous measurement. Conditions on invariant and attractive subspaces are investigated, which ensure the stabilization of the target state/subspace. For a class of open quantum systems with time delay in the feedback loop, a bang-bang-like control law is proposed, and the stability of the feedback control strategy is proved. An example of four-level Markovian open quantum systems is presented to demonstrate the effectiveness of the proposed control strategy.",

keywords = "Lyapunov method, Markovian open quantum systems, stochastic stability, switching control, time delay",

author = "Yanan Liu and Daoyi Dong and Petersen, {Ian R.} and Hidehiro Yonezawa",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.",

year = "2019",

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doi = "10.1109/LCSYS.2019.2912927",

language = "English",

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AU - Liu, Yanan

AU - Dong, Daoyi

AU - Petersen, Ian R.

AU - Yonezawa, Hidehiro

PY - 2019/7

Y1 - 2019/7

N2 - This letter considers target state preparation for Markovian open quantum systems subject to continuous measurement. Conditions on invariant and attractive subspaces are investigated, which ensure the stabilization of the target state/subspace. For a class of open quantum systems with time delay in the feedback loop, a bang-bang-like control law is proposed, and the stability of the feedback control strategy is proved. An example of four-level Markovian open quantum systems is presented to demonstrate the effectiveness of the proposed control strategy.

AB - This letter considers target state preparation for Markovian open quantum systems subject to continuous measurement. Conditions on invariant and attractive subspaces are investigated, which ensure the stabilization of the target state/subspace. For a class of open quantum systems with time delay in the feedback loop, a bang-bang-like control law is proposed, and the stability of the feedback control strategy is proved. An example of four-level Markovian open quantum systems is presented to demonstrate the effectiveness of the proposed control strategy.

KW - Lyapunov method

KW - Markovian open quantum systems

KW - stochastic stability

KW - switching control

KW - time delay

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DO - 10.1109/LCSYS.2019.2912927

M3 - Article

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SP - 565

EP - 570

JO - IEEE Control Systems Letters

JF - IEEE Control Systems Letters

IS - 3

M1 - 8695797

ER -

Filter-based feedback control for a class of markovian open quantum systems

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