We demonstrate experimental implementation of robust phase estimation (RPE) to learn the phases of X and Y rotations on a trapped Yb+ ion qubit. We estimate these phases with uncertainties less than 4⋅10−4 radians using as few as 176 total experimental samples per phase, and our estimates exhibit Heisenberg scaling. Unlike standard phase estimation protocols, RPE neither assumes perfect state preparation and measurement, nor requires access to ancillae. We cross-validate the results of RPE with the more resource-intensive protocol of gate set tomography.
@article{arxiv.1702.01763,
title = {Experimental demonstration of cheap and accurate phase estimation},
author = {Kenneth Rudinger and Shelby Kimmel and Daniel Lobser and Peter Maunz},
journal= {arXiv preprint arXiv:1702.01763},
year = {2017}
}