Magic State Factory Catalog

[\![44,\,4,\,2]\!]

One factory with n=44 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[44, 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 T3.4598d = 2Singh et al. (2026)

Same n and k at other distances: [\![44,\,4,\,3]\!]
Nearest lengths with the same k and d: [\![42,\,4,\,2]\!] · [\![32,\,4,\,2]\!] · [\![56,\,4,\,2]\!] · [\![28,\,4,\,2]\!] · [\![60,\,4,\,2]\!] · [\![62,\,4,\,2]\!] · [\![24,\,4,\,2]\!] · [\![22,\,4,\,2]\!] · [\![20,\,4,\,2]\!] · [\![18,\,4,\,2]\!] · [\![16,\,4,\,2]\!] · [\![75,\,4,\,2]\!]