Magic State Factory Catalog

[\![14106,\,5,\,2]\!]

One factory with n=14106 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[14106, 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: [\![14329,\,5,\,2]\!] · [\![14330,\,5,\,2]\!] · [\![13603,\,5,\,2]\!] · [\![12443,\,5,\,2]\!] · [\![12388,\,5,\,2]\!] · [\![12283,\,5,\,2]\!] · [\![12282,\,5,\,2]\!] · [\![12091,\,5,\,2]\!] · [\![16378,\,5,\,2]\!] · [\![11451,\,5,\,2]\!] · [\![11259,\,5,\,2]\!] · [\![11253,\,5,\,2]\!]