Magic State Factory Catalog

[\![12282,\,4,\,2]\!]

One factory with n=12282 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[12282, 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}—15d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![12284,\,4,\,2]\!] · [\![12389,\,4,\,2]\!] · [\![12092,\,4,\,2]\!] · [\![12740,\,4,\,2]\!] · [\![11452,\,4,\,2]\!] · [\![14028,\,4,\,2]\!] · [\![10236,\,4,\,2]\!] · [\![10235,\,4,\,2]\!] · [\![10076,\,4,\,2]\!] · [\![9212,\,4,\,2]\!] · [\![9208,\,4,\,2]\!] · [\![9207,\,4,\,2]\!]