Magic State Factory Catalog

[\![20413,\,3,\,2]\!]

One factory with n=20413 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[20413, 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 T12.73217d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![20475,\,3,\,2]\!] · [\![20476,\,3,\,2]\!] · [\![24325,\,3,\,2]\!] · [\![24406,\,3,\,2]\!] · [\![16381,\,3,\,2]\!] · [\![16380,\,3,\,2]\!] · [\![16376,\,3,\,2]\!] · [\![16317,\,3,\,2]\!] · [\![14029,\,3,\,2]\!] · [\![12390,\,3,\,2]\!] · [\![29345,\,3,\,2]\!] · [\![11453,\,3,\,2]\!]