Magic State Factory Catalog

[\![57,\,7,\,2]\!]

One factory with n=57 inputs, k=7 outputs and distance d=2.

Inequivalent gates at [[57, 7, 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} pure T3.02611d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![56,\,7,\,2]\!] · [\![59,\,7,\,2]\!] · [\![38,\,7,\,2]\!] · [\![36,\,7,\,2]\!] · [\![34,\,7,\,2]\!] · [\![30,\,7,\,2]\!] · [\![28,\,7,\,2]\!] · [\![26,\,7,\,2]\!] · [\![24,\,7,\,2]\!] · [\![113,\,7,\,2]\!] · [\![117,\,7,\,2]\!] · [\![120,\,7,\,2]\!]