Magic State Factory Catalog

[\![67,\,9,\,3]\!]

One factory with n=67 inputs, k=9 outputs and distance d=3.

Inequivalent gates at [[67, 9, 3]]. 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}\cdot \mathrm{T}_{5}\cdot \mathrm{T}_{6}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8} pure T1.82716d = 3Jain et al. (2026)

Nearest lengths with the same k and d: [\![65,\,9,\,3]\!] · [\![69,\,9,\,3]\!] · [\![63,\,9,\,3]\!] · [\![79,\,9,\,3]\!] · [\![95,\,9,\,3]\!] · [\![99,\,9,\,3]\!] · [\![111,\,9,\,3]\!]