Efficient digitization is required for quantum simulations of gauge theories. Schemes based on discrete subgroups use a smaller, fixed number of qubits at the cost of systematic errors. We systematize this approach by deriving the single plaquette action through matching the continuous group action to that of a discrete one via group character expansions modulo the field fluctuation contributions. We accompany this scheme by simulations of pure gauge over the largest discrete crystal-like subgroup of SU(3) up to the fifth-order in the coupling constant.
@article{arxiv.2203.02330,
title = {Gluon Digitization via Character Expansion for Quantum Computers},
author = {Yao Ji and Henry Lamm and Shuchen Zhu},
journal= {arXiv preprint arXiv:2203.02330},
year = {2023}
}