Magic State Factory Catalog

[\![16,\,4,\,2]\!]

One factory with n=16 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[16, 4, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{03}—6d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![18,\,4,\,2]\!] · [\![20,\,4,\,2]\!] · [\![22,\,4,\,2]\!] · [\![24,\,4,\,2]\!] · [\![28,\,4,\,2]\!] · [\![32,\,4,\,2]\!] · [\![42,\,4,\,2]\!] · [\![44,\,4,\,2]\!] · [\![56,\,4,\,2]\!] · [\![60,\,4,\,2]\!] · [\![62,\,4,\,2]\!] · [\![75,\,4,\,2]\!]