Magic State Factory Catalog

[\![11242,\,6,\,2]\!]

One factory with n=11242 inputs, k=6 outputs and distance d=2.

Inequivalent gates at [[11242, 6, 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{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{015}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{025}\cdot \mathrm{CCZ}_{034}\cdot \mathrm{CCZ}_{035}\cdot \mathrm{CCZ}_{045}\cdot \mathrm{CCZ}_{123}\cdot \mathrm{CCZ}_{124}\cdot \mathrm{CCZ}_{125}\cdot \mathrm{CCZ}_{134}\cdot \mathrm{C}\cdots 26 terms—15d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![11258,\,6,\,2]\!] · [\![11418,\,6,\,2]\!] · [\![11450,\,6,\,2]\!] · [\![12276,\,6,\,2]\!] · [\![12386,\,6,\,2]\!] · [\![12916,\,6,\,2]\!] · [\![13299,\,6,\,2]\!] · [\![13300,\,6,\,2]\!] · [\![8452,\,6,\,2]\!] · [\![8186,\,6,\,2]\!] · [\![8184,\,6,\,2]\!] · [\![14329,\,6,\,2]\!]