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

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2008

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University of Hawaii at Manoa

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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.

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Plan B paper, M.A., Mathematics, University of Hawaii at Manoa, 2008

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34 pages

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