Efficient quantum algorithms for some instances of the non-Abelian hidden subgroup problem
Quantum Physics
2007-05-23 v1
Abstract
In this paper we show that certain special cases of the hidden subgroup problem can be solved in polynomial time by a quantum algorithm. These special cases involve finding hidden normal subgroups of solvable groups and permutation groups, finding hidden subgroups of groups with small commutator subgroup and of groups admitting an elementary Abelian normal 2-subgroup of small index or with cyclic factor group.
Cite
@article{arxiv.quant-ph/0102014,
title = {Efficient quantum algorithms for some instances of the non-Abelian hidden subgroup problem},
author = {Gabor Ivanyos and Frederic Magniez and Miklos Santha},
journal= {arXiv preprint arXiv:quant-ph/0102014},
year = {2007}
}
Comments
10 pages