Magic State Factory Catalog

[\![512,\,39,\,6]\!]

One factory with n=512 inputs, k=39 outputs and distance d=6.

Inequivalent gates at [[512, 39, 6]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{0,1,2}\cdot \mathrm{CCZ}_{3,4,5}\cdot \mathrm{CCZ}_{6,7,8}\cdot \mathrm{CCZ}_{9,10,11}\cdot \mathrm{CCZ}_{12,13,14}\cdot \mathrm{CCZ}_{15,16,17}\cdot \mathrm{CCZ}_{18,19,20}\cdot \mathrm{CCZ}_{21,22,23}\cdot \mathrm{CCZ}_{24,25,26}\cdot \mathrm{CCZ}_{27,28,29}\cdot \mathrm{CCZ}_{30,3}\cdots 13 terms1.66385d ≥ 6Jain et al. (2026)