Magic State Factory Catalog

[\![1252,\,12,\,2]\!]

One factory with n=1252 inputs, k=12 outputs and distance d=2.

Inequivalent gates at [[1252, 12, 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}\cdot \mathrm{T}_{6}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8}\cdot \mathrm{T}_{9}\cdot \mathrm{T}_{10}\cdot \mathrm{T}_{11} pure T6.70517d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![1185,\,12,\,2]\!] · [\![1575,\,12,\,2]\!] · [\![882,\,12,\,2]\!] · [\![819,\,12,\,2]\!] · [\![776,\,12,\,2]\!] · [\![775,\,12,\,2]\!] · [\![564,\,12,\,2]\!] · [\![436,\,12,\,2]\!] · [\![434,\,12,\,2]\!] · [\![404,\,12,\,2]\!] · [\![403,\,12,\,2]\!] · [\![376,\,12,\,2]\!]