Magic State Factory Catalog

[\![5131,\,11,\,2]\!]

One factory with n=5131 inputs, k=11 outputs and distance d=2.

Inequivalent gates at [[5131, 11, 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}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8}\cdot \mathrm{T}_{9}\cdot \mathrm{T}_{10} pure T8.86616d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![5130,\,11,\,2]\!] · [\![5033,\,11,\,2]\!] · [\![5457,\,11,\,2]\!] · [\![5487,\,11,\,2]\!] · [\![5653,\,11,\,2]\!] · [\![7125,\,11,\,2]\!] · [\![2921,\,11,\,2]\!] · [\![2821,\,11,\,2]\!] · [\![7588,\,11,\,2]\!] · [\![2655,\,11,\,2]\!] · [\![2395,\,11,\,2]\!] · [\![2394,\,11,\,2]\!]