Magic State Factory Catalog

[\![1016,\,6,\,2]\!]

One factory with n=1016 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[1016, 6, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{03}\cdot \mathrm{CS}_{04}\cdot \mathrm{CS}_{05}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{15}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{25}\cdot \mathrm{CS}_{34}\cdot \mathrm{CS}_{35}\cdot \mathrm{CS}_{45}\cdot \mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{015}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdots 35 terms—13d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![1018,\,6,\,2]\!] · [\![1012,\,6,\,2]\!] · [\![1008,\,6,\,2]\!] · [\![1056,\,6,\,2]\!] · [\![1066,\,6,\,2]\!] · [\![946,\,6,\,2]\!] · [\![916,\,6,\,2]\!] · [\![890,\,6,\,2]\!] · [\![889,\,6,\,2]\!] · [\![820,\,6,\,2]\!] · [\![819,\,6,\,2]\!] · [\![1222,\,6,\,2]\!]