Magic State Factory Catalog

[\![1530,\,4,\,2]\!]

One factory with n=1530 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[1530, 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}—12d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![1532,\,4,\,2]\!] · [\![1564,\,4,\,2]\!] · [\![1292,\,4,\,2]\!] · [\![1276,\,4,\,2]\!] · [\![1275,\,4,\,2]\!] · [\![1188,\,4,\,2]\!] · [\![1156,\,4,\,2]\!] · [\![1144,\,4,\,2]\!] · [\![1143,\,4,\,2]\!] · [\![2012,\,4,\,2]\!] · [\![1020,\,4,\,2]\!] · [\![2040,\,4,\,2]\!]