



@article {3444,
	title = {Free Quantum Codes from Twisted Unitary $t$-groups},
	year = {2024},
	month = {2/2/2024},
	abstract = {<p>We introduce twisted unitary t-groups, a generalization of unitary t-groups under a twisting by an irreducible representation. We then apply representation theoretic methods to the Knill-Laflamme error correction conditions to show that twisted unitary t-groups automatically correspond to quantum codes with distance d=t+1. By construction these codes have many transversal gates, which are naturally fault tolerant.</p>},
	url = {https://arxiv.org/abs/2402.01638},
	author = {Eric Kubischta and Ian Teixeira}
}
@article {3296,
	title = {A Family of Quantum Codes with Exotic Transversal Gates},
	year = {2023},
	month = {5/11/2023},
	abstract = {<p>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.</p>},
	url = {https://arxiv.org/abs/2305.07023},
	author = {Eric Kubischta and Ian Teixeira}
}
