Magic State Factory Catalog

[\![1524,\,10,\,2]\!]

One factory with n=1524 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[1524, 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—17d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![1526,\,10,\,2]\!] · [\![1484,\,10,\,2]\!] · [\![1638,\,10,\,2]\!] · [\![1398,\,10,\,2]\!] · [\![1397,\,10,\,2]\!] · [\![1324,\,10,\,2]\!] · [\![1323,\,10,\,2]\!] · [\![1736,\,10,\,2]\!] · [\![1782,\,10,\,2]\!] · [\![1238,\,10,\,2]\!] · [\![1965,\,10,\,2]\!] · [\![1966,\,10,\,2]\!]