Magic State Factory Catalog

[\![20998,\,10,\,2]\!]

One factory with n=20998 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[20998, 10, 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} pure T11.03618d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![21546,\,10,\,2]\!] · [\![21758,\,10,\,2]\!] · [\![24308,\,10,\,2]\!] · [\![16638,\,10,\,2]\!] · [\![16637,\,10,\,2]\!] · [\![14280,\,10,\,2]\!] · [\![14214,\,10,\,2]\!] · [\![14134,\,10,\,2]\!] · [\![28067,\,10,\,2]\!] · [\![13923,\,10,\,2]\!] · [\![28278,\,10,\,2]\!] · [\![12173,\,10,\,2]\!]