Ross Duncan (University of Strathclyde) |
Simon Perdrix (CNRS) |

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. |

Published: 27th December 2014.

ArXived at: https://dx.doi.org/10.4204/EPTCS.171.5 | bibtex | |

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