Magic State Factory Catalog

[\![1016,\,7,\,2]\!]

One factory with n=1016 inputs, k=7 outputs and distance d=2.

Inequivalent gates at [[1016, 7, 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} pure T7.18114d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![1017,\,7,\,2]\!] · [\![1009,\,7,\,2]\!] · [\![953,\,7,\,2]\!] · [\![1081,\,7,\,2]\!] · [\![945,\,7,\,2]\!] · [\![1143,\,7,\,2]\!] · [\![1144,\,7,\,2]\!] · [\![1201,\,7,\,2]\!] · [\![1221,\,7,\,2]\!] · [\![1281,\,7,\,2]\!] · [\![1287,\,7,\,2]\!] · [\![721,\,7,\,2]\!]