Magic State Factory Catalog

[\![40,\,8,\,2]\!]

One factory with n=40 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[40, 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{CS}_{67}2.51511d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![38,\,8,\,2]\!] · [\![36,\,8,\,2]\!] · [\![34,\,8,\,2]\!] · [\![32,\,8,\,2]\!] · [\![30,\,8,\,2]\!] · [\![52,\,8,\,2]\!] · [\![26,\,8,\,2]\!] · [\![24,\,8,\,2]\!] · [\![56,\,8,\,2]\!] · [\![58,\,8,\,2]\!] · [\![70,\,8,\,2]\!] · [\![72,\,8,\,2]\!]