Magic State Factory Catalog

[\![54,\,4,\,3]\!]

One factory with n=54 inputs, k=4 outputs and distance d=3.

Inequivalent gates at [[54, 4, 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} pure T2.36912d = 3Wills et al. (2026); Jain et al. (2026)

Nearest lengths with the same k and d: [\![55,\,4,\,3]\!] · [\![52,\,4,\,3]\!] · [\![56,\,4,\,3]\!] · [\![51,\,4,\,3]\!] · [\![50,\,4,\,3]\!] · [\![58,\,4,\,3]\!] · [\![59,\,4,\,3]\!] · [\![48,\,4,\,3]\!] · [\![60,\,4,\,3]\!] · [\![47,\,4,\,3]\!] · [\![62,\,4,\,3]\!] · [\![63,\,4,\,3]\!]