Magic State Factory Catalog

[\![256,\,16,\,4]\!]

One factory with n=256 inputs, k=16 outputs and distance d=4.

Inequivalent gates at [[256, 16, 4]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{0,1,2}\cdot \mathrm{CCZ}_{0,1,4}\cdot \mathrm{CCZ}_{0,1,9}\cdot \mathrm{CCZ}_{0,1,10}\cdot \mathrm{CCZ}_{0,1,12}\cdot \mathrm{CCZ}_{0,1,14}\cdot \mathrm{CCZ}_{0,2,4}\cdot \mathrm{CCZ}_{0,2,8}\cdot \mathrm{CCZ}_{0,2,10}\cdot \mathrm{CCZ}_{0,2,11}\cdot \mathrm{CCZ}_{0,2,12}\cdot \mathrm{CCZ}_{0,2,13}\cdot \mathrm{CC}\cdots 278 terms—28d = 4Jain et al. (2026)