Three-dimensional arrangement of neutral atoms for Grover's algorithm

We present an experimental platform for realizing Grover's algorithm using quasi-adiabatic evolution to perform global gate operations on a few-qubit system trapped in a three-dimensional optical tweezer configuration generated with a novel implementation of the Montgomery effect. Our global gate operations protocol is robust against small imperfections in experimental control parameters and has a substantially lower complexity than the traditional circuit-based techniques. By exploiting the underlying Bessel-beam structure responsible for self-imaging, we demonstrate the ability to engineer distinct spatial structures at each imaging plane, which we use to generate a three-dimensional optical tweezer arrangement to realize the ancilla-register qubit interaction required by our gate operation protocol.