Magic State Factory Catalog

[\![310,\,8,\,2]\!]

One factory with n=310 inputs, k=8 outputs and distance d=2.

Inequivalent gates at [[310, 8, 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}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{15}\cdot \mathrm{CS}_{16}\cdot \mathrm{CS}_{17}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{25}\cdot \mathrm{CS}_{26}\cdot \mathrm{CS}_{27}\cdot \mathrm{CS}_{34}\cdot \mathrm{CS}_{35}\cdot \mathrm{CS}_{36}\cdot \mathrm{CS}_{37}\cdot \mathrm{CS}_{45}\cdot \mathrm{CS}_{}\cdots 84 terms—13d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![308,\,8,\,2]\!] · [\![312,\,8,\,2]\!] · [\![336,\,8,\,2]\!] · [\![280,\,8,\,2]\!] · [\![279,\,8,\,2]\!] · [\![256,\,8,\,2]\!] · [\![255,\,8,\,2]\!] · [\![224,\,8,\,2]\!] · [\![400,\,8,\,2]\!] · [\![152,\,8,\,2]\!] · [\![150,\,8,\,2]\!] · [\![144,\,8,\,2]\!]