Magic State Factory Catalog

[\![48,\,4,\,4]\!]

One factory with n=48 inputs, k=4 outputs and distance d=4.

Inequivalent gates at [[48, 4, 4]]. 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{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{023}—12d = 4Wills et al. (2026); Jain et al. (2026)

Same n and k at other distances: [\![48,\,4,\,3]\!]
Nearest lengths with the same k and d: [\![72,\,4,\,4]\!] · [\![76,\,4,\,4]\!] · [\![77,\,4,\,4]\!] · [\![80,\,4,\,4]\!] · [\![120,\,4,\,4]\!] · [\![160,\,4,\,4]\!]