Primitive Quantum Gates for an SU(3) Discrete Subgroup: $\Sigma (36\times 3)$

Erik J. Gustafson, Yao Ji, Henry Lamm +3

We construct the primitive gate set for the digital quantum simulation of the 108-element $\Sigma (36\times 3)$ group. This is the first time a nonabelian crystal-like subgroup of $SU(3)$…