Magic State Factory Catalog

[\![693,\,9,\,2]\!]

One factory with n=693 inputs, k=9 outputs and distance d=2.

Inequivalent gates at [[693, 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—15d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![694,\,9,\,2]\!] · [\![691,\,9,\,2]\!] · [\![690,\,9,\,2]\!] · [\![703,\,9,\,2]\!] · [\![718,\,9,\,2]\!] · [\![723,\,9,\,2]\!] · [\![658,\,9,\,2]\!] · [\![743,\,9,\,2]\!] · [\![631,\,9,\,2]\!] · [\![630,\,9,\,2]\!] · [\![774,\,9,\,2]\!] · [\![599,\,9,\,2]\!]