Extensive v2DM study of the one-dimensional Hubbard model for large lattice sizes: Exploiting translational invariance and parity

► A v2DM study of the one-dimensional Hubbard model was performed. ► All available symmetries have been exploited. ► A comparison was made between the scaling of different SDP algorithms. ► Both ground-state energy and correlation function were calculated. ► It was found that a good energy estimate does not guarantee a good 2DM.