Understanding atomic and molecular scattering processes is fundamental to modeling ionization
dynamics, charge transfer mechanisms, and collision-induced transformations across physics,
chemistry, and biological environments. However, the accurate simulation of such complex many-
body interactions remains computationally demanding for classical methods, especially at higher
energies and for multi-electron targets. In this work, we explore cutting-edge quantum computing
methods to address these challenges and advance the theoretical description of scattering
phenomena.
We develop a hybrid quantum computing framework that leverages quantum algorithms for state
preparation, Hamiltonian encoding and amplitude estimation to compute differential and total
cross sections with enhanced scalability. The approach incorporates quantum simulations of
continuum wavefunctions, electron-correlation effects and multi-channel scattering pathways,
offering a promising alternative to traditional computational techniques. Benchmark calculations for
representative atomic and molecular targets demonstrate the feasibility, accuracy and resource
efficiency of the proposed methods on emerging quantum hardware and simulators.
This study highlights the growing potential of quantum computing as a transformative tool for
solving long-standing problems in collision physics, and outlines future directions for applying
quantum algorithms to complex scattering processes relevant to atomic, molecular, and biological
systems.