Magic State Factory Catalog

[\![166,\,10,\,2]\!]

One factory with n=166 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[166, 10, 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}\cdot \mathrm{T}_{5}\cdot \mathrm{T}_{6}\cdot \mathrm{T}_{7}\cdot \mathrm{T}_{8}\cdot \mathrm{T}_{9} pure T4.05315d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![165,\,10,\,2]\!] · [\![180,\,10,\,2]\!] · [\![182,\,10,\,2]\!] · [\![212,\,10,\,2]\!] · [\![110,\,10,\,2]\!] · [\![86,\,10,\,2]\!] · [\![84,\,10,\,2]\!] · [\![66,\,10,\,2]\!] · [\![38,\,10,\,2]\!] · [\![36,\,10,\,2]\!] · [\![315,\,10,\,2]\!] · [\![316,\,10,\,2]\!]