Magic State Factory Catalog

[\![125,\,3,\,2]\!]

One factory with n=125 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[125, 3, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{T}_{2} pure T5.3819d = 2Singh et al. (2026)

Same n and k at other distances: [\![125,\,3,\,5]\!]
Nearest lengths with the same k and d: [\![124,\,3,\,2]\!] · [\![120,\,3,\,2]\!] · [\![117,\,3,\,2]\!] · [\![133,\,3,\,2]\!] · [\![155,\,3,\,2]\!] · [\![156,\,3,\,2]\!] · [\![161,\,3,\,2]\!] · [\![76,\,3,\,2]\!] · [\![75,\,3,\,2]\!] · [\![63,\,3,\,2]\!] · [\![61,\,3,\,2]\!] · [\![60,\,3,\,2]\!]