Magic State Factory Catalog

[\![419,\,5,\,2]\!]

One factory with n=419 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[419, 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 T6.38913d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![441,\,5,\,2]\!] · [\![442,\,5,\,2]\!] · [\![379,\,5,\,2]\!] · [\![378,\,5,\,2]\!] · [\![490,\,5,\,2]\!] · [\![347,\,5,\,2]\!] · [\![343,\,5,\,2]\!] · [\![341,\,5,\,2]\!] · [\![518,\,5,\,2]\!] · [\![522,\,5,\,2]\!] · [\![571,\,5,\,2]\!] · [\![266,\,5,\,2]\!]