Magic State Factory Catalog

[\![64,\,2,\,4]\!]

2 inequivalent factories with n=64 inputs, k=2 outputs and distance d=4.

Inequivalent gates at [[64, 2, 4]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CS}_{01}3.00011d = 4Jain et al. (2026)
\mathrm{T}_{0}\cdot \mathrm{T}_{1} pure T2.50011d = 4Jain et al. (2026)

These factories share n, k and d but prepare different magic states. No CNOT circuit with S, Z and CZ corrections turns one of these gates into another.

Same n and k at other distances: [\![64,\,2,\,2]\!]
Nearest lengths with the same k and d: [\![60,\,2,\,4]\!] · [\![72,\,2,\,4]\!] · [\![52,\,2,\,4]\!] · [\![76,\,2,\,4]\!] · [\![48,\,2,\,4]\!] · [\![80,\,2,\,4]\!] · [\![100,\,2,\,4]\!] · [\![116,\,2,\,4]\!] · [\![117,\,2,\,4]\!] · [\![141,\,2,\,4]\!] · [\![228,\,2,\,4]\!]