Please use this identifier to cite or link to this item:
Time optimal control of a right invariant system on a compact Lie group
|Title:||Time optimal control of a right invariant system on a compact Lie group|
|Authors:||Storm, Jody Lynn|
|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|
|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|
Please contact firstname.lastname@example.org if you need this content in an alternative format.
Items in ScholarSpace are protected by copyright, with all rights reserved, unless otherwise indicated.