Magic State Factory Catalog

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

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

Inequivalent gates at [[120, 4, 4]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}—14d = 4Jain et al. (2026)

Same n and k at other distances: [\![120,\,4,\,2]\!]
Nearest lengths with the same k and d: [\![80,\,4,\,4]\!] · [\![160,\,4,\,4]\!] · [\![77,\,4,\,4]\!] · [\![76,\,4,\,4]\!] · [\![72,\,4,\,4]\!] · [\![48,\,4,\,4]\!]