On physical realizability of nonlinear quantum stochastic differential equations

Muhammad F. Emzir; Matthew J. Woolley; Ian R. Petersen

doi:10.1016/j.automatica.2018.05.011

On physical realizability of nonlinear quantum stochastic differential equations

Muhammad F. Emzir^*
, Matthew J. Woolley
, Ian R. Petersen

^*Corresponding author for this work

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

3 Scopus citations

Abstract

In this article we study physical realizability for a class of nonlinear quantum stochastic differential equations (QSDEs). Physical realizability is a property in which a QSDE corresponds to the dynamics of an open quantum system. We derive a sufficient and necessary condition for a nonlinear QSDE to be physically realizable.

Original language	English
Pages (from-to)	254-265
Number of pages	12
Journal	Automatica
Volume	95
DOIs	https://doi.org/10.1016/j.automatica.2018.05.011
State	Published - Sep 2018
Externally published	Yes

Bibliographical note

Publisher Copyright:
© 2018 Elsevier Ltd

Keywords

Coherent quantum feedback control
Physical realizability
Quantum stochastic differential equations

ASJC Scopus subject areas

Control and Systems Engineering
Electrical and Electronic Engineering

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10.1016/j.automatica.2018.05.011

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title = "On physical realizability of nonlinear quantum stochastic differential equations",

abstract = "In this article we study physical realizability for a class of nonlinear quantum stochastic differential equations (QSDEs). Physical realizability is a property in which a QSDE corresponds to the dynamics of an open quantum system. We derive a sufficient and necessary condition for a nonlinear QSDE to be physically realizable.",

keywords = "Coherent quantum feedback control, Physical realizability, Quantum stochastic differential equations",

author = "Emzir, \{Muhammad F.\} and Woolley, \{Matthew J.\} and Petersen, \{Ian R.\}",

note = "Publisher Copyright: {\textcopyright} 2018 Elsevier Ltd",

year = "2018",

month = sep,

doi = "10.1016/j.automatica.2018.05.011",

language = "English",

volume = "95",

pages = "254--265",

journal = "Automatica",

issn = "0005-1098",

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TY - JOUR

T1 - On physical realizability of nonlinear quantum stochastic differential equations

AU - Emzir, Muhammad F.

AU - Woolley, Matthew J.

AU - Petersen, Ian R.

PY - 2018/9

Y1 - 2018/9

N2 - In this article we study physical realizability for a class of nonlinear quantum stochastic differential equations (QSDEs). Physical realizability is a property in which a QSDE corresponds to the dynamics of an open quantum system. We derive a sufficient and necessary condition for a nonlinear QSDE to be physically realizable.

AB - In this article we study physical realizability for a class of nonlinear quantum stochastic differential equations (QSDEs). Physical realizability is a property in which a QSDE corresponds to the dynamics of an open quantum system. We derive a sufficient and necessary condition for a nonlinear QSDE to be physically realizable.

KW - Coherent quantum feedback control

KW - Physical realizability

KW - Quantum stochastic differential equations

UR - https://www.scopus.com/pages/publications/85047800353

U2 - 10.1016/j.automatica.2018.05.011

DO - 10.1016/j.automatica.2018.05.011

M3 - Article

AN - SCOPUS:85047800353

SN - 0005-1098

VL - 95

SP - 254

EP - 265

JO - Automatica

JF - Automatica

ER -

On physical realizability of nonlinear quantum stochastic differential equations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this