Magic State Factory Catalog

[\![95,\,7,\,3]\!]

3 inequivalent factories with n=95 inputs, k=7 outputs and distance d=3.

Inequivalent gates at [[95, 7, 3]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{T}_{0}\cdot \mathrm{CS}_{12}\cdot \mathrm{CS}_{34}\cdot \mathrm{CS}_{56}2.88314d = 3Jain et al. (2026)
\mathrm{T}_{0}\cdot \mathrm{CCZ}_{123}\cdot \mathrm{CCZ}_{456}2.68014d = 3Jain et al. (2026)
\mathrm{T}_{0}\cdot \mathrm{T}_{1}\cdot \mathrm{CS}_{23}\cdot \mathrm{CCZ}_{456}2.68014d = 3Jain 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.

Nearest lengths with the same k and d: [\![92,\,7,\,3]\!] · [\![91,\,7,\,3]\!] · [\![103,\,7,\,3]\!] · [\![104,\,7,\,3]\!] · [\![84,\,7,\,3]\!] · [\![79,\,7,\,3]\!] · [\![65,\,7,\,3]\!] · [\![63,\,7,\,3]\!] · [\![62,\,7,\,3]\!] · [\![61,\,7,\,3]\!] · [\![60,\,7,\,3]\!] · [\![59,\,7,\,3]\!]