Magic State Factory Catalog

[\![42,\,9,\,2]\!]

One factory with n=42 inputs, k=9 outputs and distance d=2.

Inequivalent gates at [[42, 9, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{34}\cdot \mathrm{CS}_{56}\cdot \mathrm{CS}_{78}3.07012d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![40,\,9,\,2]\!] · [\![44,\,9,\,2]\!] · [\![38,\,9,\,2]\!] · [\![46,\,9,\,2]\!] · [\![34,\,9,\,2]\!] · [\![32,\,9,\,2]\!] · [\![30,\,9,\,2]\!] · [\![56,\,9,\,2]\!] · [\![20,\,9,\,2]\!] · [\![70,\,9,\,2]\!] · [\![71,\,9,\,2]\!] · [\![111,\,9,\,2]\!]