Alex Lang (University of Oxford) |
Bob Coecke (University of Oxford) |

We introduce a trichromatic graphical calculus for quantum computing. The generators represent three complementary observables that are treated on equal footing, hence reflecting the symmetries of the Bloch sphere. We derive the Euler angle decomposition of the Hadamard gate within it as well as the so-called supplementary relationships, which are valid equations for qubits that were not derivable within Z/X-calculus of Coecke and Duncan. More specifically, we have: dichromatic Z/X-calculus + Euler angle decomposition of the Hadamard gate = trichromatic calculus. |

Published: 1st October 2012.

ArXived at: http://dx.doi.org/10.4204/EPTCS.95.14 | bibtex | |

Comments and questions to: eptcs@eptcs.org |

For website issues: webmaster@eptcs.org |