Network Synthesis of Linear Dynamical Quantum Stochastic Systems

Date

2009

Authors

Nurdin, Hendra
James, Matthew
Doherty, A C

Journal Title

Journal ISSN

Volume Title

Publisher

SIAM Publications

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.

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Keywords

Citation

Source

Siam Journal on Control and Optimization

Type

Journal article

Book Title

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Access Statement

License Rights

DOI

10.1137/080728652

Restricted until

2037-12-31