Magic State Factory Catalog

[\![42,\,6,\,2]\!]

One factory with n=42 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[42, 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 T2.8079d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![46,\,6,\,2]\!] · [\![52,\,6,\,2]\!] · [\![28,\,6,\,2]\!] · [\![56,\,6,\,2]\!] · [\![26,\,6,\,2]\!] · [\![58,\,6,\,2]\!] · [\![24,\,6,\,2]\!] · [\![60,\,6,\,2]\!] · [\![14,\,6,\,2]\!] · [\![105,\,6,\,2]\!] · [\![106,\,6,\,2]\!] · [\![114,\,6,\,2]\!]