  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.
