Magic State Factory Catalog

[\![22522,\,6,\,2]\!]

One factory with n=22522 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[22522, 6, 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}\cdot \mathrm{T}_{3}\cdot \mathrm{T}_{4}\cdot \mathrm{T}_{5} pure T11.87417d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![22506,\,6,\,2]\!] · [\![22330,\,6,\,2]\!] · [\![24322,\,6,\,2]\!] · [\![24658,\,6,\,2]\!] · [\![26611,\,6,\,2]\!] · [\![26612,\,6,\,2]\!] · [\![17028,\,6,\,2]\!] · [\![28665,\,6,\,2]\!] · [\![16378,\,6,\,2]\!] · [\![16376,\,6,\,2]\!] · [\![16372,\,6,\,2]\!] · [\![15082,\,6,\,2]\!]