Magic State Factory Catalog

[\![5626,\,6,\,2]\!]

One factory with n=5626 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[5626, 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 T9.87315d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![5610,\,6,\,2]\!] · [\![5882,\,6,\,2]\!] · [\![6178,\,6,\,2]\!] · [\![5014,\,6,\,2]\!] · [\![6468,\,6,\,2]\!] · [\![6643,\,6,\,2]\!] · [\![6644,\,6,\,2]\!] · [\![6970,\,6,\,2]\!] · [\![4156,\,6,\,2]\!] · [\![7161,\,6,\,2]\!] · [\![4090,\,6,\,2]\!] · [\![7162,\,6,\,2]\!]