Magic State Factory Catalog

[\![224,\,8,\,2]\!]

One factory with n=224 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[224, 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 T4.80712d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![255,\,8,\,2]\!] · [\![256,\,8,\,2]\!] · [\![279,\,8,\,2]\!] · [\![280,\,8,\,2]\!] · [\![152,\,8,\,2]\!] · [\![150,\,8,\,2]\!] · [\![144,\,8,\,2]\!] · [\![308,\,8,\,2]\!] · [\![310,\,8,\,2]\!] · [\![136,\,8,\,2]\!] · [\![312,\,8,\,2]\!] · [\![135,\,8,\,2]\!]