Magic State Factory Catalog

[\![36,\,10,\,2]\!]

One factory with n=36 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[36, 10, 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}_{09}\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}_{19}\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}_{}\cdots 165 terms—12d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![38,\,10,\,2]\!] · [\![66,\,10,\,2]\!] · [\![84,\,10,\,2]\!] · [\![86,\,10,\,2]\!] · [\![110,\,10,\,2]\!] · [\![165,\,10,\,2]\!] · [\![166,\,10,\,2]\!] · [\![180,\,10,\,2]\!] · [\![182,\,10,\,2]\!] · [\![212,\,10,\,2]\!] · [\![315,\,10,\,2]\!] · [\![316,\,10,\,2]\!]