Magic State Factory Catalog

[\![43,\,5,\,2]\!]

One factory with n=43 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[43, 5, 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}\cdot \mathrm{T}_{4} pure T3.1049d = 2Singh et al. (2026)

Same n and k at other distances: [\![43,\,5,\,3]\!]
Nearest lengths with the same k and d: [\![42,\,5,\,2]\!] · [\![30,\,5,\,2]\!] · [\![58,\,5,\,2]\!] · [\![26,\,5,\,2]\!] · [\![61,\,5,\,2]\!] · [\![22,\,5,\,2]\!] · [\![20,\,5,\,2]\!] · [\![18,\,5,\,2]\!] · [\![16,\,5,\,2]\!] · [\![12,\,5,\,2]\!] · [\![87,\,5,\,2]\!] · [\![90,\,5,\,2]\!]