Leveraging qudits for efficient simulations of nuclear systems and quantum field theories

In this talk, we explore the utility of multi-level quantum systems, known as qudits, for simulating complex many-body systems. By mapping fermionic models relevant for nuclear and condensed matter to qu5its (d=5 qudits), and SU(3) lattice quantum chromodynamics to qu8its (d=8 qudits), we demonstrate significant improvements in resource requirements compared to qubit mappings, such as circuit depth and gate counts. In general, we discuss the role of symmetries and the advantages of using higher-dimensional quantum systems for future quantum simulations of high-energy and nuclear physics.