Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Time-optimal decompositions in SU(2)   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.

19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
0
The categories of this paper are: hep-ph