Magic State Factory Catalog

[\![1222,\,6,\,2]\!]

One factory with n=1222 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[1222, 6, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{T}_{2}\cdot \mathrm{T}_{3}\cdot \mathrm{T}_{4}\cdot \mathrm{T}_{5} pure T7.67017d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![1066,\,6,\,2]\!] · [\![1386,\,6,\,2]\!] · [\![1056,\,6,\,2]\!] · [\![1402,\,6,\,2]\!] · [\![1018,\,6,\,2]\!] · [\![1016,\,6,\,2]\!] · [\![1012,\,6,\,2]\!] · [\![1008,\,6,\,2]\!] · [\![1450,\,6,\,2]\!] · [\![946,\,6,\,2]\!] · [\![916,\,6,\,2]\!] · [\![890,\,6,\,2]\!]