Magic State Factory Catalog

[\![8184,\,6,\,2]\!]

One factory with n=8184 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[8184, 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—16d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![8186,\,6,\,2]\!] · [\![8116,\,6,\,2]\!] · [\![7994,\,6,\,2]\!] · [\![7986,\,6,\,2]\!] · [\![8452,\,6,\,2]\!] · [\![7162,\,6,\,2]\!] · [\![7161,\,6,\,2]\!] · [\![6970,\,6,\,2]\!] · [\![6644,\,6,\,2]\!] · [\![6643,\,6,\,2]\!] · [\![6468,\,6,\,2]\!] · [\![6178,\,6,\,2]\!]