A J-Spectral Factorization Condition for the Physical Realiazability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise

Rebbecca Ty Thien; Shanon L. Vuglar; Ian R. Petersen

doi:10.1109/CDC51059.2022.9993042

A J-Spectral Factorization Condition for the Physical Realiazability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise

Rebbecca Ty Thien^*
, Shanon L. Vuglar
, Ian R. Petersen

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

Abstract

This paper gives a J-spectral factorization condition for the implementation of a strictly proper transfer function matrix as a physically realizable quantum system using only direct feedthrough quantum noise. A necessary frequency response condition is also presented. Examples are included to illustrate the main results.

Original language	English
Title of host publication	2022 IEEE 61st Conference on Decision and Control, CDC 2022
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5819-5824
Number of pages	6
ISBN (Electronic)	9781665467612
DOIs	https://doi.org/10.1109/CDC51059.2022.9993042
Publication status	Published - 2022
Event	61st IEEE Conference on Decision and Control, CDC 2022 - Cancun, Mexico Duration: 6 Dec 2022 → 9 Dec 2022

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
Volume	2022-December
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Conference

Conference	61st IEEE Conference on Decision and Control, CDC 2022
Country/Territory	Mexico
City	Cancun
Period	6/12/22 → 9/12/22

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10.1109/CDC51059.2022.9993042

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Thien, R. T., Vuglar, S. L., & Petersen, I. R. (2022). A J-Spectral Factorization Condition for the Physical Realiazability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise. In 2022 IEEE 61st Conference on Decision and Control, CDC 2022 (pp. 5819-5824). (Proceedings of the IEEE Conference on Decision and Control; Vol. 2022-December). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC51059.2022.9993042

Thien, Rebbecca Ty ; Vuglar, Shanon L. ; Petersen, Ian R. / A J-Spectral Factorization Condition for the Physical Realiazability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise. 2022 IEEE 61st Conference on Decision and Control, CDC 2022. Institute of Electrical and Electronics Engineers Inc., 2022. pp. 5819-5824 (Proceedings of the IEEE Conference on Decision and Control).

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title = "A J-Spectral Factorization Condition for the Physical Realiazability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise",

abstract = "This paper gives a J-spectral factorization condition for the implementation of a strictly proper transfer function matrix as a physically realizable quantum system using only direct feedthrough quantum noise. A necessary frequency response condition is also presented. Examples are included to illustrate the main results.",

author = "Thien, \{Rebbecca Ty\} and Vuglar, \{Shanon L.\} and Petersen, \{Ian R.\}",

note = "Publisher Copyright: {\textcopyright} 2022 IEEE.; 61st IEEE Conference on Decision and Control, CDC 2022 ; Conference date: 06-12-2022 Through 09-12-2022",

year = "2022",

doi = "10.1109/CDC51059.2022.9993042",

language = "English",

series = "Proceedings of the IEEE Conference on Decision and Control",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "5819--5824",

booktitle = "2022 IEEE 61st Conference on Decision and Control, CDC 2022",

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}

Thien, RT, Vuglar, SL & Petersen, IR 2022, A J-Spectral Factorization Condition for the Physical Realiazability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise. in 2022 IEEE 61st Conference on Decision and Control, CDC 2022. Proceedings of the IEEE Conference on Decision and Control, vol. 2022-December, Institute of Electrical and Electronics Engineers Inc., pp. 5819-5824, 61st IEEE Conference on Decision and Control, CDC 2022, Cancun, Mexico, 6/12/22. https://doi.org/10.1109/CDC51059.2022.9993042

A J-Spectral Factorization Condition for the Physical Realiazability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise. / Thien, Rebbecca Ty; Vuglar, Shanon L.; Petersen, Ian R.
2022 IEEE 61st Conference on Decision and Control, CDC 2022. Institute of Electrical and Electronics Engineers Inc., 2022. p. 5819-5824 (Proceedings of the IEEE Conference on Decision and Control; Vol. 2022-December).

Research output: Chapter in Book/Report/Conference proceeding › Conference Paper › peer-review

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T1 - A J-Spectral Factorization Condition for the Physical Realiazability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise

AU - Thien, Rebbecca Ty

AU - Vuglar, Shanon L.

AU - Petersen, Ian R.

PY - 2022

Y1 - 2022

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AB - This paper gives a J-spectral factorization condition for the implementation of a strictly proper transfer function matrix as a physically realizable quantum system using only direct feedthrough quantum noise. A necessary frequency response condition is also presented. Examples are included to illustrate the main results.

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U2 - 10.1109/CDC51059.2022.9993042

DO - 10.1109/CDC51059.2022.9993042

M3 - Conference Paper

T3 - Proceedings of the IEEE Conference on Decision and Control

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EP - 5824

BT - 2022 IEEE 61st Conference on Decision and Control, CDC 2022

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 61st IEEE Conference on Decision and Control, CDC 2022

Y2 - 6 December 2022 through 9 December 2022

ER -

Thien RT, Vuglar SL, Petersen IR. A J-Spectral Factorization Condition for the Physical Realiazability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise. In 2022 IEEE 61st Conference on Decision and Control, CDC 2022. Institute of Electrical and Electronics Engineers Inc. 2022. p. 5819-5824. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC51059.2022.9993042

A J-Spectral Factorization Condition for the Physical Realiazability of a Transfer Function Matrix with only Direct Feedthrough Quantum Noise

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