A Family of Quantum Codes with Exotic Transversal Gates

TitleA Family of Quantum Codes with Exotic Transversal Gates
Publication TypeJournal Article
Year of Publication2023
AuthorsKubischta, E, Teixeira, I
Date Published5/11/2023
Abstract

Recently it has been shown that the binary icosahedral group 2I together with a certain involution forms the most efficient single-qubit universal gate set. In order for this to be viable, one must construct a quantum code with transversal gate group 2I, however, no such code has ever been demonstrated explicitly. We fill this void by constructing a novel family of quantum codes that all have transversal gate group 2I.

URLhttps://arxiv.org/abs/2305.07023