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Time optimal control of a right invariant system on a compact Lie group

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Title: Time optimal control of a right invariant system on a compact Lie group
Authors: Storm, Jody Lynn
Advisor: Wilkens, George
Issue Date: 2008
Publisher: University of Hawaii at Manoa
Abstract: In this paper we will study the pulse sequences in NMR spectroscopy and quantum computing as a time control problem. Radio frequency pulses are used to execute a unitary transfer of state. Sequences of pulses should be as short as possible to minimize decoherence. We model the problem as a controllable right invariant system on a compact Lie group. We investigate the minimum time required to steer the system from an initial point to a specified final point.
Description: Plan B paper, M.A., Mathematics, University of Hawaii at Manoa, 2008
Pages/Duration: 34 pages
Rights: All UHM dissertations and theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission from the copyright owner.
Appears in Collections:M.A. Plan B Theses- Mathematics Department

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