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 of the Hadamard gate. We derive an angle-free version of the ZX-calculus and show that it is complete for real stabilizer quantum mechanics.
|Number of pages||13|
|Journal||Electronic Proceedings in Theoretical Computer Science|
|Publication status||Published - 27 Dec 2014|
- quantum physics
- stabilizer quantum mechanics