Magic State Factory Catalog

[\![52,\,2,\,4]\!]

One factory with n=52 inputs, k=2 outputs and distance d=4.

Inequivalent gates at [[52, 2, 4]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{CS}_{01}—11d = 4Wills et al. (2026); Jain et al. (2026)

Same n and k at other distances: [\![52,\,2,\,3]\!]
Nearest lengths with the same k and d: [\![48,\,2,\,4]\!] · [\![60,\,2,\,4]\!] · [\![64,\,2,\,4]\!] · [\![72,\,2,\,4]\!] · [\![76,\,2,\,4]\!] · [\![80,\,2,\,4]\!] · [\![100,\,2,\,4]\!] · [\![116,\,2,\,4]\!] · [\![117,\,2,\,4]\!] · [\![141,\,2,\,4]\!] · [\![228,\,2,\,4]\!]