Bounded real properties for a class of annihilation-operator linear quantum systems

Aline I. Maalouf; Ian R. Petersen

doi:10.1109/TAC.2010.2060970

Bounded real properties for a class of annihilation-operator linear quantum systems

Aline I. Maalouf, Ian R. Petersen

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

76 Citations (Scopus)

Abstract

This paper considers the bounded real properties for a class of linear quantum systems which can be defined by complex quantum stochastic differential equations in terms of annihilation operators only. The paper considers complex quantum versions of the Bounded Real Lemma, the Strict Bounded Real Lemma and the Lossless Bounded Real Lemma. For the class of quantum systems under consideration, it is shown that the question of physical realizability is related to the Bounded Real and Lossless Bounded Real properties.

Original language	English
Article number	5523933
Pages (from-to)	786-801
Number of pages	16
Journal	IEEE Transactions on Automatic Control
Volume	56
Issue number	4
DOIs	https://doi.org/10.1109/TAC.2010.2060970
Publication status	Published - Apr 2011
Externally published	Yes

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10.1109/TAC.2010.2060970

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KW - complex quantum lossless bounded real lemma

KW - complex quantum strict bounded real lemma

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KW - physical realizability

KW - quantum feedback control

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Bounded real properties for a class of annihilation-operator linear quantum systems

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