Magic State Factory Catalog

[\![5014,\,6,\,2]\!]

One factory with n=5014 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[5014, 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 T9.70715d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![5610,\,6,\,2]\!] · [\![5626,\,6,\,2]\!] · [\![4156,\,6,\,2]\!] · [\![5882,\,6,\,2]\!] · [\![4090,\,6,\,2]\!] · [\![4088,\,6,\,2]\!] · [\![4070,\,6,\,2]\!] · [\![4020,\,6,\,2]\!] · [\![3994,\,6,\,2]\!] · [\![6178,\,6,\,2]\!] · [\![3578,\,6,\,2]\!] · [\![3577,\,6,\,2]\!]