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arXiv:1107.5605 · IEEE Transactions on Automatic Control

Singular Perturbation Approximations for a Class of Linear Quantum Systems

Ian R. Petersen

Published Jun 5, 2012• 19 citations
arXivHTMLPDF

Abstract

This technical note considers the use of singular perturbation approximations for a class of linear quantum systems arising in the area of linear quantum optics. The technical note presents results on the physical realizability properties of the approximate system arising from singular perturbation model reduction.
DOI
10.1109/tac.2012.2203030

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This paper considers the use of singular perturbation approximations for a class of linear complex quantum systems arising in the area of quantum optics. The class of linear complex quantum systems under consideration arises in systems consisting of interconnections of passive optical components such as cavities, beams splitters and phase shifters. The main result of the paper shows that for a class of singular perturbations of such systems, the approximate reduced dimension quantum system and guaranteed to be physically realizable.
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