Magic State Factory Catalog

[\![49146,\,4,\,2]\!]

One factory with n=49146 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[49146, 4, 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}_{12}\cdot \mathrm{CS}_{13}\cdot \mathrm{CS}_{23}\cdot \mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{123}—17d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![49148,\,4,\,2]\!] · [\![48652,\,4,\,2]\!] · [\![40956,\,4,\,2]\!] · [\![40955,\,4,\,2]\!] · [\![36856,\,4,\,2]\!] · [\![36855,\,4,\,2]\!] · [\![36796,\,4,\,2]\!] · [\![32892,\,4,\,2]\!] · [\![65528,\,4,\,2]\!] · [\![32760,\,4,\,2]\!] · [\![65788,\,4,\,2]\!] · [\![26044,\,4,\,2]\!]