Magic State Factory Catalog

[\![90,\,4,\,2]\!]

One factory with n=90 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[90, 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}—8d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![92,\,4,\,2]\!] · [\![84,\,4,\,2]\!] · [\![76,\,4,\,2]\!] · [\![75,\,4,\,2]\!] · [\![116,\,4,\,2]\!] · [\![62,\,4,\,2]\!] · [\![60,\,4,\,2]\!] · [\![120,\,4,\,2]\!] · [\![56,\,4,\,2]\!] · [\![132,\,4,\,2]\!] · [\![135,\,4,\,2]\!] · [\![44,\,4,\,2]\!]