Magic State Factory Catalog

[\![112,\,8,\,2]\!]

One factory with n=112 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[112, 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 T3.80715d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![92,\,8,\,2]\!] · [\![135,\,8,\,2]\!] · [\![136,\,8,\,2]\!] · [\![144,\,8,\,2]\!] · [\![150,\,8,\,2]\!] · [\![72,\,8,\,2]\!] · [\![152,\,8,\,2]\!] · [\![70,\,8,\,2]\!] · [\![58,\,8,\,2]\!] · [\![56,\,8,\,2]\!] · [\![52,\,8,\,2]\!] · [\![40,\,8,\,2]\!]