  Recently a quantum simulator for the 2D Fermi-Hubbard model on an anisotropic
triangular lattice has been realized, where both geometrical frustration and
doping can be continuously tuned. Here we provide a comprehensive comparison
between the magnetic correlations calculated by the two-particle
self-consistent (TPSC) theory and those measured in this quantum simulator, at
temperatures comparable to the spin exchange energy and Hubbard interactions
comparable to the bandwidth. We find overall excellent agreements between the
TPSC calculations and the measurements from the quantum simulator at all levels
of frustration and doping. This is quite remarkable considering that the
Hubbard model is already in the intermediate to strong coupling regime, for
which very few methods yield reliable results. Our work showcases the potential
of TPSC as a theoretical approach capable of providing reasonably accurate
descriptions of the Hubbard model even at fairly strong interactions and when
the frustration is present.
