Magic State Factory Catalog

[\![57,\,3,\,2]\!]

One factory with n=57 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[57, 3, 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} pure T4.2489d = 2Singh et al. (2026)

Same n and k at other distances: [\![57,\,3,\,3]\!]
Nearest lengths with the same k and d: [\![56,\,3,\,2]\!] · [\![60,\,3,\,2]\!] · [\![61,\,3,\,2]\!] · [\![63,\,3,\,2]\!] · [\![75,\,3,\,2]\!] · [\![76,\,3,\,2]\!] · [\![29,\,3,\,2]\!] · [\![28,\,3,\,2]\!] · [\![25,\,3,\,2]\!] · [\![24,\,3,\,2]\!] · [\![20,\,3,\,2]\!] · [\![18,\,3,\,2]\!]