Magic State Factory Catalog

[\![279,\,4,\,2]\!]

One factory with n=279 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[279, 4, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{123}—9d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![280,\,4,\,2]\!] · [\![268,\,4,\,2]\!] · [\![248,\,4,\,2]\!] · [\![315,\,4,\,2]\!] · [\![316,\,4,\,2]\!] · [\![228,\,4,\,2]\!] · [\![348,\,4,\,2]\!] · [\![196,\,4,\,2]\!] · [\![188,\,4,\,2]\!] · [\![186,\,4,\,2]\!] · [\![378,\,4,\,2]\!] · [\![380,\,4,\,2]\!]