Magic State Factory Catalog

[\![1023,\,3,\,2]\!]

One factory with n=1023 inputs, k=3 outputs and distance d=2.

Inequivalent gates at [[1023, 3, 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} pure T8.41414d = 2Singh et al. (2026)

Same n and k at other distances: [\![1023,\,3,\,5]\!]
Nearest lengths with the same k and d: [\![1021,\,3,\,2]\!] · [\![1020,\,3,\,2]\!] · [\![1016,\,3,\,2]\!] · [\![1037,\,3,\,2]\!] · [\![1275,\,3,\,2]\!] · [\![1276,\,3,\,2]\!] · [\![1293,\,3,\,2]\!] · [\![725,\,3,\,2]\!] · [\![661,\,3,\,2]\!] · [\![636,\,3,\,2]\!] · [\![635,\,3,\,2]\!] · [\![573,\,3,\,2]\!]