Magic State Factory Catalog

[\![1786,\,5,\,2]\!]

One factory with n=1786 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[1786, 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: [\![1785,\,5,\,2]\!] · [\![1802,\,5,\,2]\!] · [\![2010,\,5,\,2]\!] · [\![2011,\,5,\,2]\!] · [\![1547,\,5,\,2]\!] · [\![1531,\,5,\,2]\!] · [\![1530,\,5,\,2]\!] · [\![1491,\,5,\,2]\!] · [\![2146,\,5,\,2]\!] · [\![1403,\,5,\,2]\!] · [\![1397,\,5,\,2]\!] · [\![1221,\,5,\,2]\!]