Super-Golden-Gates for PU(2)
Number Theory
2018-04-11 v1 Group Theory
Spectral Theory
Abstract
To each of the symmetry groups of the Platonic solids we adjoin a carefully designed involution yielding topological generators of PU(2) which have optimal covering properties as well as efficient navigation. These are a consequence of optimal strong approximation for integral quadratic forms associated with certain special quaternion algebras and their arithmetic groups. The generators give super efficient 1-qubit quantum gates and are natural building blocks for the design of universal quantum gates.
Keywords
Cite
@article{arxiv.1704.02106,
title = {Super-Golden-Gates for PU(2)},
author = {Ori Parzanchevski and Peter Sarnak},
journal= {arXiv preprint arXiv:1704.02106},
year = {2018}
}