Pivoting makes the ZX-calculus complete for real stabilizers
We show that pivoting property of graph states cannot be derived from the axioms of the ZX-calculus, and that pivoting does not imply local complementation of graph states. Therefore the ZX-calculus augmented with pivoting is strictly weaker than the calculus augmented with the Euler decomposition o...
Main Authors: | Ross Duncan, Simon Perdrix |
---|---|
Format: | Article |
Language: | English |
Published: |
Open Publishing Association
2014-12-01
|
Series: | Electronic Proceedings in Theoretical Computer Science |
Online Access: | http://arxiv.org/pdf/1307.7048v2 |
Similar Items
-
Completeness of the ZX-Calculus
by: Emmanuel Jeandel, et al.
Published: (2020-06-01) -
A Simplified Stabilizer ZX-calculus
by: Miriam Backens, et al.
Published: (2017-01-01) -
Towards a Minimal Stabilizer ZX-calculus
by: Miriam Backens, et al.
Published: (2020-12-01) -
A simplified stabilizer ZX-calculus
by: Backens, M, et al.
Published: (2017) -
Graph-theoretic Simplification of Quantum Circuits with the ZX-calculus
by: Ross Duncan, et al.
Published: (2020-06-01)