Primitive Quantum Gates for an $SU(3)$ Discrete Subgroup: $\Sigma (72\times 3)$

Sebastian Osorio Perez, Edison M. Murairi, Erik J. Gustafson +1

We construct a primitive gate set for the digital quantum simulation of a discrete subgroup of $SU(3)$: the 216-element $\Sigma (72\times 3)$. The necessary primitives are the inversion g…