Simulations of complex many-body quantum phenomena present a formidable computational challenge. Quantum computing holds promise to drastically improve our simulations capabilities for many-body systems across all scientific domains. We discuss recent progress and challenges in quantum simulations of light nuclei and a prototypical quantum field theory---the Schwinger model---on quantum hardware ranging from superconducting circuits to trapped ions. Our results illustrate the potential of quantum computers to augment classical computations in bridging the scales from quarks to nuclei.
