Using a single, harmonically trapped 9Be+ ion, we experimentally demonstrate a technique for generation of arbitrary states of a two-level particle confined by a harmonic potential. Rather than engineering a single Hamiltonian that evolves the system to a desired final sate, we implement a technique that applies a sequence of simple operations to synthesize the state.
@article{arxiv.quant-ph/0208181,
title = {Experimental demonstration of a technique to generate arbitrary quantum superposition states},
author = {A. Ben-Kish and B. DeMarco and V. Meyer and M. Rowe and J. Britton and W. M. Itano and B. M. Jelenković and C. Langer and D. Leibfried and T. Rosenband and D. J. Wineland},
journal= {arXiv preprint arXiv:quant-ph/0208181},
year = {2016}
}