Guaranteed non-quadratic performance for quantum systems with nonlinear uncertainties

Ian R. Petersen

doi:10.1109/ACC.2014.6858903

Guaranteed non-quadratic performance for quantum systems with nonlinear uncertainties

Ian R. Petersen^*

^*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

This paper presents a robust performance analysis result for a class of uncertain quantum systems containing sector bounded nonlinearities arising from perturbations to the system Hamiltonian. An LMI condition is given for calculating a guaranteed upper bound on a non-quadratic cost function. This result is illustrated with an example involving a Josephson junction in an electromagnetic cavity.

Original language	English
Title of host publication	2014 American Control Conference, ACC 2014
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	3669-3673
Number of pages	5
ISBN (Print)	9781479932726
DOIs	https://doi.org/10.1109/ACC.2014.6858903
Publication status	Published - 2014
Externally published	Yes
Event	2014 American Control Conference, ACC 2014 - Portland, OR, United States Duration: 4 Jun 2014 → 6 Jun 2014

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2014 American Control Conference, ACC 2014
Country/Territory	United States
City	Portland, OR
Period	4/06/14 → 6/06/14

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10.1109/ACC.2014.6858903

Cite this

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title = "Guaranteed non-quadratic performance for quantum systems with nonlinear uncertainties",

abstract = "This paper presents a robust performance analysis result for a class of uncertain quantum systems containing sector bounded nonlinearities arising from perturbations to the system Hamiltonian. An LMI condition is given for calculating a guaranteed upper bound on a non-quadratic cost function. This result is illustrated with an example involving a Josephson junction in an electromagnetic cavity.",

keywords = "Nonlinear systems, Quantum control, Uncertain systems",

author = "Petersen, {Ian R.}",

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doi = "10.1109/ACC.2014.6858903",

language = "English",

isbn = "9781479932726",

series = "Proceedings of the American Control Conference",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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address = "United States",

note = "2014 American Control Conference, ACC 2014 ; Conference date: 04-06-2014 Through 06-06-2014",

}

Petersen, IR 2014, Guaranteed non-quadratic performance for quantum systems with nonlinear uncertainties. in 2014 American Control Conference, ACC 2014., 6858903, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 3669-3673, 2014 American Control Conference, ACC 2014, Portland, OR, United States, 4/06/14. https://doi.org/10.1109/ACC.2014.6858903

Guaranteed non-quadratic performance for quantum systems with nonlinear uncertainties. / Petersen, Ian R.
2014 American Control Conference, ACC 2014. Institute of Electrical and Electronics Engineers Inc., 2014. p. 3669-3673 6858903 (Proceedings of the American Control Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AU - Petersen, Ian R.

PY - 2014

Y1 - 2014

N2 - This paper presents a robust performance analysis result for a class of uncertain quantum systems containing sector bounded nonlinearities arising from perturbations to the system Hamiltonian. An LMI condition is given for calculating a guaranteed upper bound on a non-quadratic cost function. This result is illustrated with an example involving a Josephson junction in an electromagnetic cavity.

AB - This paper presents a robust performance analysis result for a class of uncertain quantum systems containing sector bounded nonlinearities arising from perturbations to the system Hamiltonian. An LMI condition is given for calculating a guaranteed upper bound on a non-quadratic cost function. This result is illustrated with an example involving a Josephson junction in an electromagnetic cavity.

KW - Nonlinear systems

KW - Quantum control

KW - Uncertain systems

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U2 - 10.1109/ACC.2014.6858903

DO - 10.1109/ACC.2014.6858903

M3 - Conference contribution

SN - 9781479932726

T3 - Proceedings of the American Control Conference

SP - 3669

EP - 3673

BT - 2014 American Control Conference, ACC 2014

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2014 American Control Conference, ACC 2014

Y2 - 4 June 2014 through 6 June 2014

ER -

Guaranteed non-quadratic performance for quantum systems with nonlinear uncertainties

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