  One path to realizing systems of trapped atomic ions suitable for large-scale
quantum computing and simulation is to create a two-dimensional array of ion
traps. Interactions between nearest-neighbouring ions could then be turned on
and off by tuning the ions' relative positions and frequencies. We demonstrate
and characterize the operation of a planar-electrode ion-trap array. Driving
the trap with a network of phase-locked radio-frequency (RF) resonators which
provide independently variable voltage amplitudes we vary the position and
motional frequency of a 40Ca+ ion in two dimensions within the trap array. With
suitable miniaturization of the trap structure, this provides a viable
architecture for large-scale quantum simulations.
