Magic State Factory Catalog

[\![6138,\,4,\,2]\!]

One factory with n=6138 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[6138, 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}—14d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![6140,\,4,\,2]\!] · [\![6012,\,4,\,2]\!] · [\![5908,\,4,\,2]\!] · [\![5876,\,4,\,2]\!] · [\![5116,\,4,\,2]\!] · [\![5115,\,4,\,2]\!] · [\![7164,\,4,\,2]\!] · [\![5016,\,4,\,2]\!] · [\![4988,\,4,\,2]\!] · [\![4620,\,4,\,2]\!] · [\![4600,\,4,\,2]\!] · [\![4599,\,4,\,2]\!]