The ZX-calculus is complete for the single-qubit Clifford+T group

The ZX-calculus is a graphical calculus for reasoning about pure state qubit quantum mechanics. It is complete for pure qubit stabilizer quantum mechanics, meaning any equality involving only stabilizer operations that can be derived using matrices can also be derived pictorially. Stabilizer operati...

Full description

Bibliographic Details
Main Author: Miriam Backens
Format: Article
Language:English
Published: Open Publishing Association 2014-12-01
Series:Electronic Proceedings in Theoretical Computer Science
Online Access:http://arxiv.org/pdf/1412.8553v1