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Numerical and Algebraic Studies for the Control of Quantum Systems: Controllability and Optimal Control in Finite-Dimensional Quantum Systems - Brossura
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In this thesis, two aspects of control theory, namely controllability and optimal control, are applied to quantum systems. The presented results are based on group theoretical techniques and numerical studies. By Lie-algebraic analysis, the controllability properties of systems with an arbitrary topology are described and related to the symmetries existing in these systems. We find that symmetry precludes full controllability. Our work investigates well-known control systems and gives rules for the design of new systems. Furthermore, theoretical and numerical concepts are instrumental to studying quantum channels: Their capacities are optimised using gradient flows on the unitary group in order to find counterexamples to a long-established additivity conjecture. The last part of this thesis presents and benchmarks a modular optimal control algorithm known as GRAPE. Numerical tests show how the interplay of its modules can be optimised for higher performance, and how the algorithm performs in comparison to a Krotov-type optimal control algorithm. It is found that GRAPE performs particularly well when aiming for high qualities.
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Uwe Sander started studying Physics with Computer Science at the University of Osnabrück in 2001. Having obtained his Master's degree in late 2006, he joined the QCCC PhD programme at the Technical University of Munich, supervised by Prof. S. J. Glaser, He finished his PhD thesis in December 2010.
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Numerical and Algebraic Studies for the Control of Quantum Systems
ISBN 10: 3838124847
ISBN 13: 9783838124841
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Taschenbuch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -In this thesis, two aspects of control theory, namely controllability and optimal control, are applied to quantum systems. The presented results are based on group theoretical techniques and numerical studies. By Lie-algebraic analysis, the controllability properties of systems with an arbitrary topology are described and related to the symmetries existing in these systems. We find that symmetry precludes full controllability. Our work investigates well-known control systems and gives rules for the design of new systems. Furthermore, theoretical and numerical concepts are instrumental to studying quantum channels: Their capacities are optimised using gradient flows on the unitary group in order to find counterexamples to a long-established additivity conjecture. The last part of this thesis presents and benchmarks a modular optimal control algorithm known as GRAPE. Numerical tests show how the interplay of its modules can be optimised for higher performance, and how the algorithm performs in comparison to a Krotov-type optimal control algorithm. It is found that GRAPE performs particularly well when aiming for high qualities. 148 pp. Englisch. Codice articolo 9783838124841
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Numerical and Algebraic Studies for the Control of Quantum Systems
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Südwestdeutscher Verlag für Hochschulschriften, 2011
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Condizione: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Autor/Autorin: Sander UweUwe Sander started studying Physics with Computer Science at theUniversity of Osnabrueck in 2001. Having obtained his Master sdegree in late 2006, he joined the QCCC PhD programme at theTechnical University of Munich, superv. Codice articolo 5406823
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Numerical and Algebraic Studies for the Control of Quantum Systems : Controllability and Optimal Control in Finite-Dimensional Quantum Systems
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Südwestdeutscher Verlag Für Hochschulschriften, 2011
ISBN 10: 3838124847
ISBN 13: 9783838124841
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Taschenbuch. Condizione: Neu. nach der Bestellung gedruckt Neuware - Printed after ordering - In this thesis, two aspects of control theory, namely controllability and optimal control, are applied to quantum systems. The presented results are based on group theoretical techniques and numerical studies. By Lie-algebraic analysis, the controllability properties of systems with an arbitrary topology are described and related to the symmetries existing in these systems. We find that symmetry precludes full controllability. Our work investigates well-known control systems and gives rules for the design of new systems. Furthermore, theoretical and numerical concepts are instrumental to studying quantum channels: Their capacities are optimised using gradient flows on the unitary group in order to find counterexamples to a long-established additivity conjecture. The last part of this thesis presents and benchmarks a modular optimal control algorithm known as GRAPE. Numerical tests show how the interplay of its modules can be optimised for higher performance, and how the algorithm performs in comparison to a Krotov-type optimal control algorithm. It is found that GRAPE performs particularly well when aiming for high qualities. Codice articolo 9783838124841
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Numerical and Algebraic Studies for the Control of Quantum Systems | Controllability and Optimal Control in Finite-Dimensional Quantum Systems
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Südwestdeutscher Verlag für Hochschulschriften, 2015
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Taschenbuch. Condizione: Neu. Numerical and Algebraic Studies for the Control of Quantum Systems | Controllability and Optimal Control in Finite-Dimensional Quantum Systems | Uwe Sander | Taschenbuch | 148 S. | Englisch | 2015 | Südwestdeutscher Verlag für Hochschulschriften | EAN 9783838124841 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu. Codice articolo 107064561
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Numerical and Algebraic Studies for the Control of Quantum Systems
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Südwestdeutscher Verlag Für Hochschulschriften Mär 2011, 2011
ISBN 10: 3838124847
ISBN 13: 9783838124841
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Taschenbuch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -In this thesis, two aspects of control theory, namely controllability and optimal control, are applied to quantum systems. The presented results are based on group theoretical techniques and numerical studies. By Lie-algebraic analysis, the controllability properties of systems with an arbitrary topology are described and related to the symmetries existing in these systems. We find that symmetry precludes full controllability. Our work investigates well-known control systems and gives rules for the design of new systems. Furthermore, theoretical and numerical concepts are instrumental to studying quantum channels: Their capacities are optimised using gradient flows on the unitary group in order to find counterexamples to a long-established additivity conjecture. The last part of this thesis presents and benchmarks a modular optimal control algorithm known as GRAPE. Numerical tests show how the interplay of its modules can be optimised for higher performance, and how the algorithm performs in comparison to a Krotov-type optimal control algorithm. It is found that GRAPE performs particularly well when aiming for high qualities.VDM Verlag, Dudweiler Landstraße 99, 66123 Saarbrücken 148 pp. Englisch. Codice articolo 9783838124841
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