Generators and relations for the group $U_4(\mathbb{Z}[1/\sqrt{2},i])$
Quantum Physics
2014-08-27 v1 Group Theory
Abstract
We give a presentation by generators and relations of the group of unitary matrices with entries in the ring . This is motivated by the problem of exact synthesis for the Clifford+T gate set in quantum computation.
Cite
@article{arxiv.1408.6204,
title = {Generators and relations for the group $U_4(\mathbb{Z}[1/\sqrt{2},i])$},
author = {Seth Eveson Murray Greylyn},
journal= {arXiv preprint arXiv:1408.6204},
year = {2014}
}
Comments
M.Sc. Thesis, Dalhousie University, 60 pages