Magic State Factory Catalog

[\![24,\,7,\,2]\!]

One factory with n=24 inputs, k=7 outputs and distance d=2.

Inequivalent gates at [[24, 7, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CS}_{23}\cdot \mathrm{CCZ}_{456}2.5859d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![26,\,7,\,2]\!] · [\![28,\,7,\,2]\!] · [\![30,\,7,\,2]\!] · [\![34,\,7,\,2]\!] · [\![36,\,7,\,2]\!] · [\![38,\,7,\,2]\!] · [\![56,\,7,\,2]\!] · [\![57,\,7,\,2]\!] · [\![59,\,7,\,2]\!] · [\![113,\,7,\,2]\!] · [\![117,\,7,\,2]\!] · [\![120,\,7,\,2]\!]