Magic State Factory Catalog

[\![345,\,11,\,2]\!]

One factory with n=345 inputs, k=11 outputs and distance d=2.

Inequivalent gates at [[345, 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}\cdot \mathrm{CS}_{0,1}\cdot \mathrm{CS}_{0,2}\cdot \mathrm{CS}_{0,3}\cdot \mathrm{CS}_{0,4}\cdot \mathrm{CS}_{0,5}\cdot \mathrm{CS}_{0,6}\cdot \mathrm{CS}_{0,7}\cdot \mathrm{CS}_{0,8}\cdot \mathrm{CS}_{0,9}\cdot \mathrm{CS}_{0,10}\cdot \mathrm{CS}_{1,2}\cdot \mathrm{CS}_{1,3}\cdot \mathrm{CS}_{1,4}\cdot \mathrm{CS}_{1,}\cdots 66 terms—15d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![357,\,11,\,2]\!] · [\![372,\,11,\,2]\!] · [\![373,\,11,\,2]\!] · [\![403,\,11,\,2]\!] · [\![404,\,11,\,2]\!] · [\![413,\,11,\,2]\!] · [\![441,\,11,\,2]\!] · [\![196,\,11,\,2]\!] · [\![195,\,11,\,2]\!] · [\![181,\,11,\,2]\!] · [\![180,\,11,\,2]\!] · [\![177,\,11,\,2]\!]