Magic State Factory Catalog

[\![2040,\,6,\,2]\!]

One factory with n=2040 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[2040, 6, 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}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{14}\cdot \mathrm{CS}_{15}\cdot \mathrm{CS}_{23}\cdot \mathrm{CS}_{24}\cdot \mathrm{CS}_{25}\cdot \mathrm{CS}_{34}\cdot \mathrm{CS}_{35}\cdot \mathrm{CS}_{45}\cdot \mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{015}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdots 35 terms—14d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![2042,\,6,\,2]\!] · [\![2036,\,6,\,2]\!] · [\![2010,\,6,\,2]\!] · [\![2004,\,6,\,2]\!] · [\![1802,\,6,\,2]\!] · [\![1786,\,6,\,2]\!] · [\![1785,\,6,\,2]\!] · [\![1756,\,6,\,2]\!] · [\![1652,\,6,\,2]\!] · [\![1651,\,6,\,2]\!] · [\![1450,\,6,\,2]\!] · [\![1402,\,6,\,2]\!]