We construct a primitive gate set for the digital quantum simulation of the 48-element binary octahedral (BO) group. This nonabelian 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.
Cite
@article{arxiv.2312.10285,
title = {Primitive Quantum Gates for an $SU(2)$ Discrete Subgroup: Binary Octahedral},
author = {Erik J. Gustafson and Henry Lamm and Felicity Lovelace},
journal= {arXiv preprint arXiv:2312.10285},
year = {2023}
}