Magic State Factory Catalog

[\![414,\,10,\,2]\!]

One factory with n=414 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[414, 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 T5.37217d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![392,\,10,\,2]\!] · [\![438,\,10,\,2]\!] · [\![378,\,10,\,2]\!] · [\![374,\,10,\,2]\!] · [\![372,\,10,\,2]\!] · [\![342,\,10,\,2]\!] · [\![341,\,10,\,2]\!] · [\![316,\,10,\,2]\!] · [\![315,\,10,\,2]\!] · [\![566,\,10,\,2]\!] · [\![212,\,10,\,2]\!] · [\![182,\,10,\,2]\!]