Qudit-based Quantum Computing Protocol with Trapped Barium Ions

We present a set of protocols for implementing a d-level qudit quantum computing system with trapped barium ions. The error sources for each procedure in the set of protocols (e.g. single and two-qudit gate implementations) are analyzed in-depth with theoretical calculations and numerical simulations. This serves as an estimate of the fundamental limits on the fidelities achievable with our proposed protocol, and provides a practical assessment of the feasibility of realizing a d-dimensional quantum computer with trapped ions.