Magic State Factory Catalog

[\![2042,\,6,\,2]\!]

One factory with n=2042 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[2042, 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 T8.41115d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![2040,\,6,\,2]\!] · [\![2036,\,6,\,2]\!] · [\![2010,\,6,\,2]\!] · [\![2004,\,6,\,2]\!] · [\![1802,\,6,\,2]\!] · [\![1786,\,6,\,2]\!] · [\![1785,\,6,\,2]\!] · [\![1756,\,6,\,2]\!] · [\![1652,\,6,\,2]\!] · [\![1651,\,6,\,2]\!] · [\![1450,\,6,\,2]\!] · [\![1402,\,6,\,2]\!]