Trapped Ions are among the leading technologies for quantum computing and simulations. Widely configurable interactions and high-fidelity control over a universal gate set on a sizeable number of particles makes this approach particularly suited for digital quantum simulation. Recent developments extend these capabilities from qubits to high-dimensional qudits, offering a new pathway towards native quantum simulation in high-dimensional Hilbert spaces. I will discuss the application of this formalism to the simulation of lattice gauge theories in the context of current limitations, recent achievements, and future prospects.
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