Magic State Factory Catalog

[\![5053,\,3,\,2]\!]

One factory with n=5053 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[5053, 3, 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} pure T10.71815d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![5017,\,3,\,2]\!] · [\![5115,\,3,\,2]\!] · [\![5116,\,3,\,2]\!] · [\![4589,\,3,\,2]\!] · [\![4093,\,3,\,2]\!] · [\![4092,\,3,\,2]\!] · [\![4088,\,3,\,2]\!] · [\![4029,\,3,\,2]\!] · [\![3997,\,3,\,2]\!] · [\![6305,\,3,\,2]\!] · [\![2641,\,3,\,2]\!] · [\![2556,\,3,\,2]\!]