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

dc.contributor.advisor Wilkens, George en_US
dc.contributor.author Storm, Jody Lynn en_US
dc.date.accessioned 2013-02-06T20:13:19Z
dc.date.available 2013-02-06T20:13:19Z
dc.date.issued 2008 en_US
dc.description Plan B paper, M.A., Mathematics, University of Hawaii at Manoa, 2008 en_US
dc.description.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. en_US
dc.format.extent 34 pages en_US
dc.identifier.uri http://hdl.handle.net/10125/25916
dc.language en-US en_US
dc.publisher University of Hawaii at Manoa en_US
dc.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. en_US
dc.title Time optimal control of a right invariant system on a compact Lie group en_US
dc.type Master's project en_US
dc.type.dcmi Text en_US
local.thesis.degreelevel Masters en_US
local.thesis.department Mathematics en_US
local.thesis.mastertype Plan B en_US
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