Magic State Factory Catalog

[\![120,\,4,\,2]\!]

One factory with n=120 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[120, 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}—8d = 2Singh et al. (2026)

Same n and k at other distances: [\![120,\,4,\,4]\!]
Nearest lengths with the same k and d: [\![116,\,4,\,2]\!] · [\![132,\,4,\,2]\!] · [\![135,\,4,\,2]\!] · [\![136,\,4,\,2]\!] · [\![92,\,4,\,2]\!] · [\![90,\,4,\,2]\!] · [\![155,\,4,\,2]\!] · [\![84,\,4,\,2]\!] · [\![156,\,4,\,2]\!] · [\![76,\,4,\,2]\!] · [\![75,\,4,\,2]\!] · [\![168,\,4,\,2]\!]