Magic State Factory Catalog

[\![413,\,11,\,2]\!]

One factory with n=413 inputs, k=11 outputs and distance d=2.

Inequivalent gates at [[413, 11, 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}\cdot \mathrm{T}_{10} pure T5.23118d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![404,\,11,\,2]\!] · [\![403,\,11,\,2]\!] · [\![441,\,11,\,2]\!] · [\![373,\,11,\,2]\!] · [\![372,\,11,\,2]\!] · [\![357,\,11,\,2]\!] · [\![345,\,11,\,2]\!] · [\![565,\,11,\,2]\!] · [\![196,\,11,\,2]\!] · [\![195,\,11,\,2]\!] · [\![181,\,11,\,2]\!] · [\![180,\,11,\,2]\!]