Magic State Factory Catalog

[\![378,\,4,\,2]\!]

One factory with n=378 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[378, 4, 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}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{23}\cdot \mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{123}—10d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![380,\,4,\,2]\!] · [\![348,\,4,\,2]\!] · [\![412,\,4,\,2]\!] · [\![316,\,4,\,2]\!] · [\![315,\,4,\,2]\!] · [\![452,\,4,\,2]\!] · [\![280,\,4,\,2]\!] · [\![279,\,4,\,2]\!] · [\![268,\,4,\,2]\!] · [\![504,\,4,\,2]\!] · [\![248,\,4,\,2]\!] · [\![524,\,4,\,2]\!]