Magic State Factory Catalog

[\![882,\,12,\,2]\!]

One factory with n=882 inputs, k=12 outputs and distance d=2.

Inequivalent gates at [[882, 12, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{0,1}\cdot \mathrm{CS}_{0,2}\cdot \mathrm{CS}_{0,3}\cdot \mathrm{CS}_{0,4}\cdot \mathrm{CS}_{0,5}\cdot \mathrm{CS}_{0,6}\cdot \mathrm{CS}_{0,7}\cdot \mathrm{CS}_{0,8}\cdot \mathrm{CS}_{0,9}\cdot \mathrm{CS}_{0,10}\cdot \mathrm{CS}_{0,11}\cdot \mathrm{CS}_{1,2}\cdot \mathrm{CS}_{1,3}\cdot \mathrm{CS}_{1,4}\cdot \mathrm{CS}_{1,5}\cdot \mathrm{CS}_{1,6}\cdot \mathrm{CS}_{1,7}\cdot \mathrm{CS}_{1,8}\cdot \mathrm{CS}_{1,9}\cdot \mathrm{C}\cdots 286 terms—18d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![819,\,12,\,2]\!] · [\![776,\,12,\,2]\!] · [\![775,\,12,\,2]\!] · [\![1185,\,12,\,2]\!] · [\![564,\,12,\,2]\!] · [\![1252,\,12,\,2]\!] · [\![436,\,12,\,2]\!] · [\![434,\,12,\,2]\!] · [\![404,\,12,\,2]\!] · [\![403,\,12,\,2]\!] · [\![376,\,12,\,2]\!] · [\![375,\,12,\,2]\!]