Magic State Factory Catalog

[\![40956,\,3,\,2]\!]

One factory with n=40956 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[40956, 3, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}\cdot \mathrm{CS}_{02}\cdot \mathrm{CS}_{12}\cdot \mathrm{CCZ}_{012}—17d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![40955,\,3,\,2]\!] · [\![41021,\,3,\,2]\!] · [\![48653,\,3,\,2]\!] · [\![32893,\,3,\,2]\!] · [\![32765,\,3,\,2]\!] · [\![32764,\,3,\,2]\!] · [\![32760,\,3,\,2]\!] · [\![29345,\,3,\,2]\!] · [\![24406,\,3,\,2]\!] · [\![24325,\,3,\,2]\!] · [\![20476,\,3,\,2]\!] · [\![20475,\,3,\,2]\!]