Magic State Factory Catalog

[\![58,\,6,\,3]\!]

One factory with n=58 inputs, k=6 outputs and distance d=3.

Inequivalent gates at [[58, 6, 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} pure T2.06514d = 3Jain et al. (2026)

Same n and k at other distances: [\![58,\,6,\,2]\!]
Nearest lengths with the same k and d: [\![59,\,6,\,3]\!] · [\![56,\,6,\,3]\!] · [\![60,\,6,\,3]\!] · [\![55,\,6,\,3]\!] · [\![62,\,6,\,3]\!] · [\![63,\,6,\,3]\!] · [\![52,\,6,\,3]\!] · [\![51,\,6,\,3]\!] · [\![66,\,6,\,3]\!] · [\![67,\,6,\,3]\!] · [\![48,\,6,\,3]\!] · [\![68,\,6,\,3]\!]