As Dirac noted in 1929, "The underlying physical laws necessary for the mathematical theory of a large part of physics and the whole of chemistry are thus completely known, and the difficulty is only that the exact application of these laws leads to equations much too complicated to be soluble." Thanks to the entangled development of digital technologies and quantum chemical methodologies (Figure ), our approaches hold little similarity to those Dirac had access to at that time. But his assessment is still essentially correct. We still face significant challenges in solving many-body wave functions for fermionic systems, which typically require classical, statistical, or numerical approximations that inevitably degrade the accuracy of our predictions.