Magic State Factory Catalog

[\![227,\,5,\,2]\!]

One factory with n=227 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[227, 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 T5.50512d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![218,\,5,\,2]\!] · [\![217,\,5,\,2]\!] · [\![238,\,5,\,2]\!] · [\![245,\,5,\,2]\!] · [\![203,\,5,\,2]\!] · [\![266,\,5,\,2]\!] · [\![187,\,5,\,2]\!] · [\![186,\,5,\,2]\!] · [\![171,\,5,\,2]\!] · [\![165,\,5,\,2]\!] · [\![130,\,5,\,2]\!] · [\![115,\,5,\,2]\!]