Preprint
Aug 2026
Improved Transversal Non-Clifford Gates from Cup Products
It is a major challenge in quantum fault-tolerance to obtain low-overhead protocols for performing non-Clifford gates. In this vein, we construct quantum codes with low-weight stabilizers that support transversal (i.e. low-depth) implementations of the non-Clifford $C^{r-1}Z$ gate, for every constant $r\geq 3$. In part...
Louis Golowich, Itzhak Tamo, Guan-Yu Zhu
· 2 citations