Generators and relations for n-qubit Clifford operators
Quantum Physics
2017-03-31 v4 Emerging Technologies
Logic in Computer Science
Abstract
We define a normal form for Clifford circuits, and we prove that every Clifford operator has a unique normal form. Moreover, we present a rewrite system by which any Clifford circuit can be reduced to normal form. This yields a presentation of Clifford operators in terms of generators and relations.
Keywords
Cite
@article{arxiv.1310.6813,
title = {Generators and relations for n-qubit Clifford operators},
author = {Peter Selinger},
journal= {arXiv preprint arXiv:1310.6813},
year = {2017}
}