Magic State Factory Catalog

[\![16317,\,3,\,2]\!]

One factory with n=16317 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[16317, 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 T12.40917d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![16376,\,3,\,2]\!] · [\![16380,\,3,\,2]\!] · [\![16381,\,3,\,2]\!] · [\![14029,\,3,\,2]\!] · [\![12390,\,3,\,2]\!] · [\![20413,\,3,\,2]\!] · [\![20475,\,3,\,2]\!] · [\![20476,\,3,\,2]\!] · [\![11453,\,3,\,2]\!] · [\![11025,\,3,\,2]\!] · [\![10236,\,3,\,2]\!] · [\![10235,\,3,\,2]\!]