Modified group non-membership is in AWPP
Quantum Physics
2021-10-05 v1 Computational Complexity
Abstract
It is known that the group non-membership problem is in QMA relative to any group oracle and in relative to group oracles for solvable groups. We consider a modified version of the group non-membership problem where the order of the group is also given as an additional input. We show that the problem is in AWPP relative to any group oracle. To show the result, we use the idea of the postselected quantum computing.
Cite
@article{arxiv.1602.06073,
title = {Modified group non-membership is in AWPP},
author = {Tomoyuki Morimae and Harumichi Nishimura and Francois Le Gall},
journal= {arXiv preprint arXiv:1602.06073},
year = {2021}
}
Comments
12 pages