Magic State Factory Catalog

[\![343,\,9,\,2]\!]

One factory with n=343 inputs, k=9 outputs and distance d=2.

Inequivalent gates at [[343, 9, 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}\cdot \mathrm{T}_{6}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8} pure T5.25216d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![342,\,9,\,2]\!] · [\![341,\,9,\,2]\!] · [\![323,\,9,\,2]\!] · [\![322,\,9,\,2]\!] · [\![311,\,9,\,2]\!] · [\![310,\,9,\,2]\!] · [\![378,\,9,\,2]\!] · [\![295,\,9,\,2]\!] · [\![285,\,9,\,2]\!] · [\![222,\,9,\,2]\!] · [\![166,\,9,\,2]\!] · [\![165,\,9,\,2]\!]