|Title||A Family of Quantum Codes with Exotic Transversal Gates|
|Publication Type||Journal Article|
|Year of Publication||2023|
|Authors||Kubischta, E, Teixeira, I|
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.