Magic State Factory Catalog

[\![40955,\,4,\,2]\!]

One factory with n=40955 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[40955, 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 T13.32217d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![40956,\,4,\,2]\!] · [\![36856,\,4,\,2]\!] · [\![36855,\,4,\,2]\!] · [\![36796,\,4,\,2]\!] · [\![48652,\,4,\,2]\!] · [\![32892,\,4,\,2]\!] · [\![49146,\,4,\,2]\!] · [\![49148,\,4,\,2]\!] · [\![32760,\,4,\,2]\!] · [\![26044,\,4,\,2]\!] · [\![24572,\,4,\,2]\!] · [\![24570,\,4,\,2]\!]