Patrick Roy

The Qudit ZH-Calculus: Generalised Toffoli+Hadamard and Universality

2023 · arXiv (Cornell University)

We introduce the qudit ZH-calculus and show how to generalise all the phase-free qubit rules to qudits. We prove that for prime dimensions d, the phase-free qudit ZH-calculus is universal for matrices over the ring …