26 citations · 47 across the 16 of their papers we have counts for
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quant-ph2023★ 7 cited
Permutation-Invariant Quantum Codes with Transversal Generalized Phase Gates
Eric Kubischta, Ian Teixeira
With respect to the transversal gate group (an invariant of quantum codes), we demonstrate that non-additive codes can outperform stabilizer codes. We do this by constructing spin…
quant-ph2023★ 1 cited
Quantum Weight Enumerators for Real Codes with and Exactly Transversal
Eric Kubischta, Ian Teixeira, J. Maxwell Silvester
In this note we show that the weight enumerators of a real quantum error correcting code with and exactly transversal must satisfy certain identities. One consequence o…
quant-ph2023★ 26 cited
A Family of Quantum Codes with Exotic Transversal Gates
Eric Kubischta, Ian Teixeira
Recently an algorithm has been constructed that shows the binary icosahedral group $\2I$ together with a -like gate forms the most efficient single-qubit universal gate set. To…