Magic State Factory Catalog

[\![651,\,10,\,2]\!]

One factory with n=651 inputs, k=10 outputs and distance d=2.

Inequivalent gates at [[651, 10, 2]]. Click a column header to sort.
output gate \gamma_\rho N distance cited
\mathrm{CCZ}_{012}\cdot \mathrm{CCZ}_{013}\cdot \mathrm{CCZ}_{014}\cdot \mathrm{CCZ}_{015}\cdot \mathrm{CCZ}_{016}\cdot \mathrm{CCZ}_{017}\cdot \mathrm{CCZ}_{018}\cdot \mathrm{CCZ}_{019}\cdot \mathrm{CCZ}_{023}\cdot \mathrm{CCZ}_{024}\cdot \mathrm{CCZ}_{025}\cdot \mathrm{CCZ}_{026}\cdot \mathrm{CCZ}_{027}\cdot \mathrm{CCZ}_{028}\cdot \mathrm{CCZ}_{029}\cdot \mathrm{CCZ}_{034}\cdot \mathrm{CCZ}_{03}\cdots 120 terms—15d = 2Singh et al. (2026)

Nearest lengths with the same k and d: [\![652,\,10,\,2]\!] · [\![693,\,10,\,2]\!] · [\![694,\,10,\,2]\!] · [\![702,\,10,\,2]\!] · [\![708,\,10,\,2]\!] · [\![728,\,10,\,2]\!] · [\![566,\,10,\,2]\!] · [\![756,\,10,\,2]\!] · [\![758,\,10,\,2]\!] · [\![774,\,10,\,2]\!] · [\![838,\,10,\,2]\!] · [\![840,\,10,\,2]\!]