Magic State Factory Catalog

[\![57337,\,5,\,2]\!]

One factory with n=57337 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[57337, 5, 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}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{34}\cdot \mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{034}\cdot \mathrm{CCZ}_{123}\cdot \mathrm{CCZ}_{124}\cdot \mathrm{CCZ}_{134}\cdot \mathrm{CCZ}_{234}—18d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![49146,\,5,\,2]\!] · [\![65786,\,5,\,2]\!] · [\![48651,\,5,\,2]\!] · [\![45051,\,5,\,2]\!] · [\![45045,\,5,\,2]\!] · [\![34906,\,5,\,2]\!] · [\![32890,\,5,\,2]\!] · [\![28666,\,5,\,2]\!] · [\![28665,\,5,\,2]\!] · [\![25051,\,5,\,2]\!] · [\![90101,\,5,\,2]\!] · [\![24571,\,5,\,2]\!]