Magic State Factory Catalog

[\![76,\,3,\,2]\!]

One factory with n=76 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[76, 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}—8d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![75,\,3,\,2]\!] · [\![63,\,3,\,2]\!] · [\![61,\,3,\,2]\!] · [\![60,\,3,\,2]\!] · [\![57,\,3,\,2]\!] · [\![56,\,3,\,2]\!] · [\![117,\,3,\,2]\!] · [\![120,\,3,\,2]\!] · [\![29,\,3,\,2]\!] · [\![28,\,3,\,2]\!] · [\![124,\,3,\,2]\!] · [\![125,\,3,\,2]\!]