Cascade cavity realization for a class of complex transfer functions arising in coherent quantum feedback control

Ian R. Petersen

doi:10.23919/ecc.2009.7074402

Cascade cavity realization for a class of complex transfer functions arising in coherent quantum feedback control

Ian R. Petersen^*

^*Corresponding author for this work

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

1 Citation (Scopus)

Abstract

This paper presents a realization algorithm for a class of complex transfer functions corresponding to physically realizable complex linear quantum systems. The class of complex linear quantum systems under consideration includes interconnections of passive optical components such as cavities, beam-splitters, phase-shifters and interferometers. It is shown that for almost all quantum optical systems within this class, the corresponding transfer function can be realized as a cascade connection involving only cavities and phase-shifters.

Original language	English
Title of host publication	2009 European Control Conference, ECC 2009
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	190-195
Number of pages	6
ISBN (Electronic)	9783952417393
DOIs	https://doi.org/10.23919/ecc.2009.7074402
Publication status	Published - 26 Mar 2014
Externally published	Yes
Event	10th European Control Conference: ECC 2009 - Budapest, Hungary Duration: 23 Aug 2009 → 26 Aug 2009 Conference number: 10th http://ieeexplore.ieee.org/document/7074402/ http://ieeexplore.ieee.org/document/7074461/

Publication series

Name	2009 European Control Conference, ECC 2009

Conference

Conference	10th European Control Conference: ECC 2009
Abbreviated title	ECC
Country/Territory	Hungary
City	Budapest
Period	23/08/09 → 26/08/09
Internet address	http://ieeexplore.ieee.org/document/7074402/ http://ieeexplore.ieee.org/document/7074461/

Access to Document

10.23919/ecc.2009.7074402

Cite this

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title = "Cascade cavity realization for a class of complex transfer functions arising in coherent quantum feedback control",

abstract = "This paper presents a realization algorithm for a class of complex transfer functions corresponding to physically realizable complex linear quantum systems. The class of complex linear quantum systems under consideration includes interconnections of passive optical components such as cavities, beam-splitters, phase-shifters and interferometers. It is shown that for almost all quantum optical systems within this class, the corresponding transfer function can be realized as a cascade connection involving only cavities and phase-shifters.",

author = "Petersen, {Ian R.}",

note = "Publisher Copyright: {\textcopyright} 2009 EUCA.; 10th European Control Conference: ECC 2009, ECC ; Conference date: 23-08-2009 Through 26-08-2009",

year = "2014",

month = mar,

day = "26",

doi = "10.23919/ecc.2009.7074402",

language = "English",

series = "2009 European Control Conference, ECC 2009",

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

pages = "190--195",

booktitle = "2009 European Control Conference, ECC 2009",

address = "United States",

url = "http://ieeexplore.ieee.org/document/7074402/, http://ieeexplore.ieee.org/document/7074461/",

}

Petersen, IR 2014, Cascade cavity realization for a class of complex transfer functions arising in coherent quantum feedback control. in 2009 European Control Conference, ECC 2009., 7074402, 2009 European Control Conference, ECC 2009, Institute of Electrical and Electronics Engineers Inc., pp. 190-195, 10th European Control Conference: ECC 2009, Budapest, Hungary, 23/08/09. https://doi.org/10.23919/ecc.2009.7074402

Cascade cavity realization for a class of complex transfer functions arising in coherent quantum feedback control. / Petersen, Ian R.
2009 European Control Conference, ECC 2009. Institute of Electrical and Electronics Engineers Inc., 2014. p. 190-195 7074402 (2009 European Control Conference, ECC 2009).

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

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N2 - This paper presents a realization algorithm for a class of complex transfer functions corresponding to physically realizable complex linear quantum systems. The class of complex linear quantum systems under consideration includes interconnections of passive optical components such as cavities, beam-splitters, phase-shifters and interferometers. It is shown that for almost all quantum optical systems within this class, the corresponding transfer function can be realized as a cascade connection involving only cavities and phase-shifters.

AB - This paper presents a realization algorithm for a class of complex transfer functions corresponding to physically realizable complex linear quantum systems. The class of complex linear quantum systems under consideration includes interconnections of passive optical components such as cavities, beam-splitters, phase-shifters and interferometers. It is shown that for almost all quantum optical systems within this class, the corresponding transfer function can be realized as a cascade connection involving only cavities and phase-shifters.

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M3 - Conference contribution

T3 - 2009 European Control Conference, ECC 2009

SP - 190

EP - 195

BT - 2009 European Control Conference, ECC 2009

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 10th European Control Conference: ECC 2009

Y2 - 23 August 2009 through 26 August 2009

ER -

Cascade cavity realization for a class of complex transfer functions arising in coherent quantum feedback control

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