Magic State Factory Catalog

[\![496,\,36,\,4]\!]

One factory with n=496 inputs, k=36 outputs and distance d=4.

Inequivalent gates at [[496, 36, 4]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{0,1,2}\cdot \mathrm{CCZ}_{0,1,7}\cdot \mathrm{CCZ}_{0,1,8}\cdot \mathrm{CCZ}_{0,1,9}\cdot \mathrm{CCZ}_{0,1,11}\cdot \mathrm{CCZ}_{0,1,12}\cdot \mathrm{CCZ}_{0,1,13}\cdot \mathrm{CCZ}_{0,1,14}\cdot \mathrm{CCZ}_{0,1,15}\cdot \mathrm{CCZ}_{0,1,17}\cdot \mathrm{CCZ}_{0,1,18}\cdot \mathrm{CCZ}_{0,1,21}\cdot \mathrm{C}\cdots 3587 terms—47d = 4Jain et al. (2026)