Magic State Factory Catalog

[\![18,\,5,\,2]\!]

One factory with n=18 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[18, 5, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CCZ}_{234}2.5857d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![16,\,5,\,2]\!] · [\![20,\,5,\,2]\!] · [\![22,\,5,\,2]\!] · [\![12,\,5,\,2]\!] · [\![26,\,5,\,2]\!] · [\![30,\,5,\,2]\!] · [\![42,\,5,\,2]\!] · [\![43,\,5,\,2]\!] · [\![58,\,5,\,2]\!] · [\![61,\,5,\,2]\!] · [\![87,\,5,\,2]\!] · [\![90,\,5,\,2]\!]