Building exact wave functions for quantum-many body systems on quantum devices

"Quantum many-body systems are incredibly complex systems whose solutions, even approximate ones, tend to elude our most powerful computers. Since the culprit of this complexity is the prohibitive exponential scaling of the quantum states, a promising path to overcome this limitation is to produce educated guesses of the structural form of the corresponding wave functions. Unfortunately, while powerful, such guessing of states is more like an art than a science, requiring deep knowledge of the system at hand and a lot of experience. In this talk I will present a universal approach to produce exponential guesses (or ansätze) of any quantum many-body system that, when implemented on quantum devices, yields the exact wave functions. Our approach is based on a contraction of the Schrödinger equation that has been used in quantum chemistry. Especially developed for mixtures of electrons and bosonic particles, our theory and results offer a promising tool to study arbitrary quantum many-body systems, providing a more coherent approach to quantum many-body physics, from electronic structure theory or polaritonic chemistry to ultracold gases or magnetism. "