On structure-preserving transformations of the Itō generator matrix for model reduction of quantum feedback networks

John Edward Gough; H. I. Nurdin

doi:10.1098/rsta.2011.0523

On structure-preserving transformations of the Itō generator matrix for model reduction of quantum feedback networks

John Edward Gough, H. I. Nurdin

Department of Physics

Australian National University

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

8 Citations (Scopus)

Abstract

Two standard operations of model reduction for quantum feedback networks, elimination of internal connections under the instantaneous feedback limit and adiabatic elimination of fast degrees of freedom, are cast as structure-preserving transformations of Itō generator matrices. It is shown that the order in which they are applied is inconsequential.

Original language	English
Pages (from-to)	5422-36
Number of pages	15
Journal	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Volume	370
Issue number	1979
DOIs	https://doi.org/10.1098/rsta.2011.0523
Publication status	Published - 28 Nov 2012

Keywords

quantum networks
model reduction
Schur complement
singular perturbation

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10.1098/rsta.2011.0523

http://rsta.royalsocietypublishing.org/content/370/1979/5422.abstract

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title = "On structure-preserving transformations of the Itō generator matrix for model reduction of quantum feedback networks",

abstract = "Two standard operations of model reduction for quantum feedback networks, elimination of internal connections under the instantaneous feedback limit and adiabatic elimination of fast degrees of freedom, are cast as structure-preserving transformations of Itō generator matrices. It is shown that the order in which they are applied is inconsequential.",

keywords = "quantum networks, model reduction, Schur complement, singular perturbation",

author = "Gough, {John Edward} and Nurdin, {H. I.}",

year = "2012",

month = nov,

day = "28",

doi = "10.1098/rsta.2011.0523",

language = "English",

volume = "370",

pages = "5422--36",

journal = "Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences",

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On structure-preserving transformations of the Itō generator matrix for model reduction of quantum feedback networks. / Gough, John Edward; Nurdin, H. I.
In: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 370, No. 1979, 28.11.2012, p. 5422-36.

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

TY - JOUR

T1 - On structure-preserving transformations of the Itō generator matrix for model reduction of quantum feedback networks

AU - Gough, John Edward

AU - Nurdin, H. I.

PY - 2012/11/28

Y1 - 2012/11/28

N2 - Two standard operations of model reduction for quantum feedback networks, elimination of internal connections under the instantaneous feedback limit and adiabatic elimination of fast degrees of freedom, are cast as structure-preserving transformations of Itō generator matrices. It is shown that the order in which they are applied is inconsequential.

AB - Two standard operations of model reduction for quantum feedback networks, elimination of internal connections under the instantaneous feedback limit and adiabatic elimination of fast degrees of freedom, are cast as structure-preserving transformations of Itō generator matrices. It is shown that the order in which they are applied is inconsequential.

KW - quantum networks

KW - model reduction

KW - Schur complement

KW - singular perturbation

UR - http://hdl.handle.net/2160/11206

U2 - 10.1098/rsta.2011.0523

DO - 10.1098/rsta.2011.0523

M3 - Article

SN - 1364-503X

VL - 370

SP - 5422

EP - 5436

JO - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

JF - Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences

IS - 1979

ER -

On structure-preserving transformations of the Itō generator matrix for model reduction of quantum feedback networks

Abstract

Keywords

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Quantum Control: Feedback Mediated by Channels in Nonclassical States

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On structure-preserving transformations of the Itō generator matrix for model reduction of quantum feedback networks

Abstract

Keywords

Access to Document

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Quantum Control: Feedback Mediated by Channels in Nonclassical States

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