Magic State Factory Catalog

[\![45051,\,5,\,2]\!]

One factory with n=45051 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[45051, 5, 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} pure T13.13718d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![45045,\,5,\,2]\!] · [\![48651,\,5,\,2]\!] · [\![49146,\,5,\,2]\!] · [\![34906,\,5,\,2]\!] · [\![32890,\,5,\,2]\!] · [\![57337,\,5,\,2]\!] · [\![28666,\,5,\,2]\!] · [\![28665,\,5,\,2]\!] · [\![25051,\,5,\,2]\!] · [\![24571,\,5,\,2]\!] · [\![24570,\,5,\,2]\!] · [\![24323,\,5,\,2]\!]