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

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2008
Authors
Storm, Jody Lynn
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University of Hawaii at Manoa
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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
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34 pages
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