Magic State Factory Catalog

[\![59,\,7,\,3]\!]

One factory with n=59 inputs, k=7 outputs and distance d=3.

Inequivalent gates at [[59, 7, 3]]. 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 T1.94014d = 3Jain et al. (2026)

Same n and k at other distances: [\![59,\,7,\,2]\!]
Nearest lengths with the same k and d: [\![60,\,7,\,3]\!] · [\![61,\,7,\,3]\!] · [\![62,\,7,\,3]\!] · [\![55,\,7,\,3]\!] · [\![63,\,7,\,3]\!] · [\![65,\,7,\,3]\!] · [\![48,\,7,\,3]\!] · [\![44,\,7,\,3]\!] · [\![43,\,7,\,3]\!] · [\![79,\,7,\,3]\!] · [\![84,\,7,\,3]\!] · [\![91,\,7,\,3]\!]