Magic State Factory Catalog

[\![156,\,3,\,2]\!]

One factory with n=156 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[156, 3, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{12}\cdot \mathrm{CCZ}_{012}—9d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![155,\,3,\,2]\!] · [\![161,\,3,\,2]\!] · [\![133,\,3,\,2]\!] · [\![125,\,3,\,2]\!] · [\![124,\,3,\,2]\!] · [\![120,\,3,\,2]\!] · [\![117,\,3,\,2]\!] · [\![229,\,3,\,2]\!] · [\![76,\,3,\,2]\!] · [\![75,\,3,\,2]\!] · [\![248,\,3,\,2]\!] · [\![63,\,3,\,2]\!]