Magic State Factory Catalog

[\![1080,\,8,\,2]\!]

One factory with n=1080 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[1080, 8, 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} pure T7.07716d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![1072,\,8,\,2]\!] · [\![1071,\,8,\,2]\!] · [\![1143,\,8,\,2]\!] · [\![1144,\,8,\,2]\!] · [\![1147,\,8,\,2]\!] · [\![1176,\,8,\,2]\!] · [\![1216,\,8,\,2]\!] · [\![1270,\,8,\,2]\!] · [\![1272,\,8,\,2]\!] · [\![1305,\,8,\,2]\!] · [\![1316,\,8,\,2]\!] · [\![1352,\,8,\,2]\!]