Magic State Factory Catalog

[\![222,\,9,\,2]\!]

One factory with n=222 inputs, k=9 outputs and distance d=2.

Inequivalent gates at [[222, 9, 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}\cdot \mathrm{CS}_{04}\cdot \mathrm{CS}_{05}\cdot \mathrm{CS}_{06}\cdot \mathrm{CS}_{07}\cdot \mathrm{CS}_{08}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{15}\cdot \mathrm{CS}_{16}\cdot \mathrm{CS}_{17}\cdot \mathrm{CS}_{18}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{25}\cdot \mathrm{CS}_{26}\cdot \mathrm{CS}_{27}\cdot \mathrm{CS}_{28}\cdot \mathrm{CS}_{34}\cdot \mathrm{CS}_{35}\cdot \mathrm{CS}_{}\cdots 120 terms—12d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![166,\,9,\,2]\!] · [\![165,\,9,\,2]\!] · [\![285,\,9,\,2]\!] · [\![151,\,9,\,2]\!] · [\![150,\,9,\,2]\!] · [\![295,\,9,\,2]\!] · [\![147,\,9,\,2]\!] · [\![310,\,9,\,2]\!] · [\![311,\,9,\,2]\!] · [\![322,\,9,\,2]\!] · [\![323,\,9,\,2]\!] · [\![111,\,9,\,2]\!]