Magic State Factory Catalog

[\![111,\,4,\,3]\!]

One factory with n=111 inputs, k=4 outputs and distance d=3.

Inequivalent gates at [[111, 4, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{CS}_{23}3.28711d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![91,\,4,\,3]\!] · [\![83,\,4,\,3]\!] · [\![75,\,4,\,3]\!] · [\![71,\,4,\,3]\!] · [\![68,\,4,\,3]\!] · [\![67,\,4,\,3]\!] · [\![66,\,4,\,3]\!] · [\![64,\,4,\,3]\!] · [\![63,\,4,\,3]\!] · [\![62,\,4,\,3]\!] · [\![60,\,4,\,3]\!] · [\![59,\,4,\,3]\!]