Magic State Factory Catalog

[\![11317,\,11,\,2]\!]

One factory with n=11317 inputs, k=11 outputs and distance d=2.

Inequivalent gates at [[11317, 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 T10.00718d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![11151,\,11,\,2]\!] · [\![11919,\,11,\,2]\!] · [\![10603,\,11,\,2]\!] · [\![10602,\,11,\,2]\!] · [\![10587,\,11,\,2]\!] · [\![10245,\,11,\,2]\!] · [\![9653,\,11,\,2]\!] · [\![14725,\,11,\,2]\!] · [\![7588,\,11,\,2]\!] · [\![15188,\,11,\,2]\!] · [\![7125,\,11,\,2]\!] · [\![5653,\,11,\,2]\!]