Magic State Factory Catalog

[\![172,\,3,\,4]\!]

One factory with n=172 inputs, k=3 outputs and distance d=4.

Inequivalent gates at [[172, 3, 4]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{12}—13d = 4Jain et al. (2026)

Nearest lengths with the same k and d: [\![188,\,3,\,4]\!] · [\![120,\,3,\,4]\!] · [\![116,\,3,\,4]\!] · [\![84,\,3,\,4]\!] · [\![80,\,3,\,4]\!] · [\![77,\,3,\,4]\!] · [\![72,\,3,\,4]\!] · [\![66,\,3,\,4]\!] · [\![64,\,3,\,4]\!] · [\![48,\,3,\,4]\!]