Magic State Factory Catalog

[\![3066,\,4,\,2]\!]

One factory with n=3066 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[3066, 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}—13d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![3068,\,4,\,2]\!] · [\![3036,\,4,\,2]\!] · [\![3004,\,4,\,2]\!] · [\![2574,\,4,\,2]\!] · [\![2556,\,4,\,2]\!] · [\![2555,\,4,\,2]\!] · [\![2508,\,4,\,2]\!] · [\![2316,\,4,\,2]\!] · [\![2296,\,4,\,2]\!] · [\![2295,\,4,\,2]\!] · [\![2212,\,4,\,2]\!] · [\![4028,\,4,\,2]\!]