Magic State Factory Catalog

[\![2040,\,7,\,2]\!]

One factory with n=2040 inputs, k=7 outputs and distance d=2.

Inequivalent gates at [[2040, 7, 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} pure T8.18715d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![2041,\,7,\,2]\!] · [\![2057,\,7,\,2]\!] · [\![2009,\,7,\,2]\!] · [\![1921,\,7,\,2]\!] · [\![1913,\,7,\,2]\!] · [\![1905,\,7,\,2]\!] · [\![2295,\,7,\,2]\!] · [\![2296,\,7,\,2]\!] · [\![2313,\,7,\,2]\!] · [\![2383,\,7,\,2]\!] · [\![1400,\,7,\,2]\!] · [\![1364,\,7,\,2]\!]