  A variety of physical platforms are investigated for quantum control of many
particles, and techniques are extended to access multiple dimensions. Here, we
present our experimental study of shuttling single Mg$^+$ ions within a
scalable trap-array architecture that contains up to thirteen trapping sites in
a three-dimensional arrangement. We shuttle ions from a dedicated loading hub
to multiple sites with a success rate of larger than $0.99999$. In a prototype
application, we demonstrate the preservation of the coherence of superposition
states of a hyperfine qubit during inter-site shuttling. Our findings highlight
the potential of these techniques for use in future large-scale architectures.
