Magic State Factory Catalog

[\![412,\,4,\,2]\!]

One factory with n=412 inputs, k=4 outputs and distance d=2.

Inequivalent gates at [[412, 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 T6.68712d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![380,\,4,\,2]\!] · [\![378,\,4,\,2]\!] · [\![452,\,4,\,2]\!] · [\![348,\,4,\,2]\!] · [\![504,\,4,\,2]\!] · [\![316,\,4,\,2]\!] · [\![315,\,4,\,2]\!] · [\![524,\,4,\,2]\!] · [\![280,\,4,\,2]\!] · [\![279,\,4,\,2]\!] · [\![268,\,4,\,2]\!] · [\![567,\,4,\,2]\!]