Generators and relations for n-qubit Clifford operators

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

• quantum physics
• computer science - emerging technologies
• computer science - logic in computer science