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We construct a primitive gate set for the digital quantum simulation of the 48-element binary octahedral (BO) group. This non-Abelian discrete group better approximates SU(2) lattice gauge theory than previous work on the binary tetrahedral group at the cost of one additional qubit—for a total of six—per gauge link. The necessary primitives are the inversion gate, the group multiplication gate, the trace gate, and the BO Fourier transform. Published by the American Physical Society 2024
Gustafson et al. (Wed,) studied this question.