  Using ab initio lattice methods, we calculate the finite temperature
thermodynamics of homogeneous two-dimensional spin-1/2 fermions with attractive
short-range interactions. We present results for the density, pressure,
compressibility, and quantum anomaly (i.e. Tan's contact) for a wide range of
temperatures and coupling strengths, focusing on the unpolarized case. Within
our statistical and systematic uncertainties, our prediction for the density
equation of state differs quantitatively from the prediction by Luttinger-Ward
theory in the strongly coupled region of parameter space, but otherwise agrees
well with it. We also compare our calculations with the second- and third-order
virial expansion, with which they are in excellent agreement in the
low-fugacity regime.
