Magic State Factory Catalog

[\![76,\,4,\,2]\!]

One factory with n=76 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[76, 4, 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} pure T4.2489d = 2Singh et al. (2026)

Same n and k at other distances: [\![76,\,4,\,4]\!]
Nearest lengths with the same k and d: [\![75,\,4,\,2]\!] · [\![84,\,4,\,2]\!] · [\![62,\,4,\,2]\!] · [\![90,\,4,\,2]\!] · [\![60,\,4,\,2]\!] · [\![92,\,4,\,2]\!] · [\![56,\,4,\,2]\!] · [\![44,\,4,\,2]\!] · [\![42,\,4,\,2]\!] · [\![116,\,4,\,2]\!] · [\![32,\,4,\,2]\!] · [\![120,\,4,\,2]\!]