Magic State Factory Catalog

[\![8125,\,3,\,2]\!]

One factory with n=8125 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[8125, 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 T11.40315d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![8184,\,3,\,2]\!] · [\![8188,\,3,\,2]\!] · [\![8061,\,3,\,2]\!] · [\![8189,\,3,\,2]\!] · [\![6305,\,3,\,2]\!] · [\![10141,\,3,\,2]\!] · [\![10235,\,3,\,2]\!] · [\![10236,\,3,\,2]\!] · [\![11025,\,3,\,2]\!] · [\![5116,\,3,\,2]\!] · [\![5115,\,3,\,2]\!] · [\![5053,\,3,\,2]\!]