Magic State Factory Catalog

[\![255,\,6,\,7]\!]

One factory with n=255 inputs, k=6 outputs and distance d=7.

Inequivalent gates at [[255, 6, 7]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{CS}_{01}\cdot \mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{015}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{025}\cdot \mathrm{CCZ}_{123}\cdot \mathrm{CCZ}_{124}\cdot \mathrm{CCZ}_{135}\cdot \mathrm{CCZ}_{145}\cdot \mathrm{CCZ}_{235}\cdot \mathrm{CCZ}_{245}—41d = 7Jain et al. (2026)

Same n and k at other distances: [\![255,\,6,\,5]\!]