Magic State Factory Catalog

[\![65789,\,3,\,2]\!]

One factory with n=65789 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[65789, 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 T14.42118d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![65533,\,3,\,2]\!] · [\![65532,\,3,\,2]\!] · [\![65528,\,3,\,2]\!] · [\![81915,\,3,\,2]\!] · [\![81916,\,3,\,2]\!] · [\![48653,\,3,\,2]\!] · [\![41021,\,3,\,2]\!] · [\![40956,\,3,\,2]\!] · [\![40955,\,3,\,2]\!] · [\![32893,\,3,\,2]\!] · [\![32765,\,3,\,2]\!] · [\![32764,\,3,\,2]\!]