Network synthesis of linear dynamical quantum stochastic systems

Nurdin, Hendra I., James, Matthew R. and Doherty, Andrew C. (2009) Network synthesis of linear dynamical quantum stochastic systems. S I A M Journal on Control and Optimization, 48 4: 2686-2718. doi:10.1137/080728652

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Author Nurdin, Hendra I.
James, Matthew R.
Doherty, Andrew C.
Title Network synthesis of linear dynamical quantum stochastic systems
Journal name S I A M Journal on Control and Optimization   Check publisher's open access policy
ISSN 0363-0129
Publication date 2009-09-18
Sub-type Article (original research)
DOI 10.1137/080728652
Open Access Status File (Publisher version)
Volume 48
Issue 4
Start page 2686
End page 2718
Total pages 33
Editor John Baillieul
Kelly Thomas
Place of publication Philadelphia, PA , United States
Publisher Society for Industrial and Applied Mathematics
Language eng
Abstract The purpose of this paper is to develop a synthesis theory for linear dynamical quantum stochastic systems that are encountered in linear quantum optics and in phenomenological models of linear quantum circuits. In particular, such a theory will enable the systematic realization of coherent/fully quantum linear stochastic controllers for quantum control, amongst other potential applications. We show how general linear dynamical quantum stochastic systems can be constructed by assembling an appropriate interconnection of one degree of freedom open quantum harmonic oscillators and, in the quantum optics setting, discuss how such a network of oscillators can be approximately synthesized or implemented in a systematic way from some linear and nonlinear quantum optical elements. An example is also provided to illustrate the theory.
Keyword Quantum networks
Quantum network synthesis
Quantum control
Linear quantum stochastic systems
Linear quantum circuit theory
Q-Index Code C1
Q-Index Status Confirmed Code
Institutional Status UQ

Document type: Journal Article
Sub-type: Article (original research)
Collections: School of Mathematics and Physics
2010 Higher Education Research Data Collection
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Citation counts: TR Web of Science Citation Count  Cited 80 times in Thomson Reuters Web of Science Article | Citations
Scopus Citation Count Cited 94 times in Scopus Article | Citations
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Created: Wed, 10 Mar 2010, 22:26:55 EST by Jo Hughes on behalf of Physics