Magic State Factory Catalog

[\![721,\,7,\,2]\!]

One factory with n=721 inputs, k=7 outputs and distance d=2.

Inequivalent gates at [[721, 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 T6.68713d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![696,\,7,\,2]\!] · [\![660,\,7,\,2]\!] · [\![617,\,7,\,2]\!] · [\![569,\,7,\,2]\!] · [\![568,\,7,\,2]\!] · [\![567,\,7,\,2]\!] · [\![561,\,7,\,2]\!] · [\![553,\,7,\,2]\!] · [\![525,\,7,\,2]\!] · [\![505,\,7,\,2]\!] · [\![504,\,7,\,2]\!] · [\![945,\,7,\,2]\!]