Magic State Factory Catalog

[\![20476,\,4,\,2]\!]

One factory with n=20476 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[20476, 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 T12.32217d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![20475,\,4,\,2]\!] · [\![20412,\,4,\,2]\!] · [\![18424,\,4,\,2]\!] · [\![18423,\,4,\,2]\!] · [\![18396,\,4,\,2]\!] · [\![24324,\,4,\,2]\!] · [\![24444,\,4,\,2]\!] · [\![24570,\,4,\,2]\!] · [\![16380,\,4,\,2]\!] · [\![24572,\,4,\,2]\!] · [\![16376,\,4,\,2]\!] · [\![16044,\,4,\,2]\!]