Generators and relations for n-qubit Clifford operators

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.

Bibliographic Details
Main Author: Peter Selinger
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2015-06-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/1570/pdf