Vibrational structure on quantum computers

The simulation of quantum many-body physics is expected to provide early quantum advantages with applications in both academia and industry. One of the primary challenges prohibiting such demonstrations for near-term devices amount to excessive quantum resource requirements and measurement overheads for relevant physical quantities such as ground state energies. With major differences between electronic and vibrational structure of molecules, it is expected that the symmetries of vibrational Hamiltonians may be exploited to obtain quantum advantages prior to the electronic counterpart. Such symmetries are presented in this presentation with emphasis on choice of ansatz and runtime estimates.