Magic State Factory Catalog

[\![4026,\,5,\,2]\!]

One factory with n=4026 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[4026, 5, 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}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{34}\cdot \mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{034}\cdot \mathrm{CCZ}_{123}\cdot \mathrm{CCZ}_{124}\cdot \mathrm{CCZ}_{134}\cdot \mathrm{CCZ}_{234}—14d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![4362,\,5,\,2]\!] · [\![3578,\,5,\,2]\!] · [\![3577,\,5,\,2]\!] · [\![3498,\,5,\,2]\!] · [\![3203,\,5,\,2]\!] · [\![3201,\,5,\,2]\!] · [\![3067,\,5,\,2]\!] · [\![3066,\,5,\,2]\!] · [\![5015,\,5,\,2]\!] · [\![3003,\,5,\,2]\!] · [\![2907,\,5,\,2]\!] · [\![2811,\,5,\,2]\!]