Magic State Factory Catalog

[\![87,\,5,\,2]\!]

One factory with n=87 inputs, k=5 outputs and distance d=2.

Inequivalent gates at [[87, 5, 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}\cdot \mathrm{T}_{4} pure T4.12111d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![90,\,5,\,2]\!] · [\![91,\,5,\,2]\!] · [\![105,\,5,\,2]\!] · [\![106,\,5,\,2]\!] · [\![61,\,5,\,2]\!] · [\![115,\,5,\,2]\!] · [\![58,\,5,\,2]\!] · [\![130,\,5,\,2]\!] · [\![43,\,5,\,2]\!] · [\![42,\,5,\,2]\!] · [\![30,\,5,\,2]\!] · [\![26,\,5,\,2]\!]