Magic State Factory Catalog

[\![1023,\,3,\,5]\!]

One factory with n=1023 inputs, k=3 outputs and distance d=5.

Inequivalent gates at [[1023, 3, 5]]. 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 T3.62423d = 5Jain et al. (2026)

Same n and k at other distances: [\![1023,\,3,\,2]\!]
Nearest lengths with the same k and d: [\![511,\,3,\,5]\!] · [\![255,\,3,\,5]\!] · [\![176,\,3,\,5]\!] · [\![125,\,3,\,5]\!]