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

Adran Ffiseg

Australian National University

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

8 Dyfyniadau (Scopus)

Crynodeb

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.

Iaith wreiddiol	Saesneg
Tudalennau (o-i)	5422-36
Nifer y tudalennau	15
Cyfnodolyn	Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Cyfrol	370
Rhif cyhoeddi	1979
Dynodwyr Gwrthrych Digidol (DOIs)	https://doi.org/10.1098/rsta.2011.0523
Statws	Cyhoeddwyd - 28 Tach 2012

Mynediad at Ddogfen

10.1098/rsta.2011.0523

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

Cysylltiad parhaol

Dolen barhaus

Ffeiliau eraill a chysylltiadau

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

1 Wedi Gorffen

Quantum Control: Feedback Mediated by Channels in Nonclassical States
Gough, J. (Prif Ymchwilydd)
Engineering and Physical Sciences Research Council
05 Hyd 2009 → 04 Ion 2010
Prosiect: Ymchwil a ariannwyd yn allanol

Dyfynnu hyn

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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",

issn = "1364-503X",

publisher = "Royal Society",

number = "1979",

}

On structure-preserving transformations of the Itō generator matrix for model reduction of quantum feedback networks. / Gough, John Edward; Nurdin, H. I.
Yn: Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Cyfrol 370, Rhif 1979, 28.11.2012, t. 5422-36.

Allbwn ymchwil: Cyfraniad at gyfnodolyn › Erthygl › adolygiad gan gymheiriaid

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

Crynodeb

Mynediad at Ddogfen

Cysylltiad parhaol

Ffeiliau eraill a chysylltiadau

Ôl bys

Prosiectau

Quantum Control: Feedback Mediated by Channels in Nonclassical States

Dyfynnu hyn