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arXiv · 1205.3710

Time-optimal decompositions in SU(2)

Yuly Billig
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Abstract

A connected Lie group G is generated by its two 1-parametric subgroups exp(tX), exp(tY) if and only if the Lie algebra of G is generated by {X, Y}. We consider decompositions of elements of G into a product of such exponentials with times t > 0 and study the problem of minimizing the total time of the decompositions for a fixed element of G. We solve this problem for the group SU(2) and describe the structure of the time-optimal decompositions.

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Yuly Billig. 2012-05-16. Time-optimal decompositions in SU(2). https://arxiv.org/abs/1205.3710

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