We show how to construct an arbitrary robust one-qubit unitary operation with a control Hamiltonian of Ax(t)σx+Ay(t)σy, where σi is a Pauli matrix and Ai(t) is piecewise constant. Our method, based on planar geometry, admits a simple and intuitive interpretation. Furthermore, the total execution time and the number of elementary gates of the obtained sequence are comparable to those of the shortest known concatenated composite pulses.
Cite
@article{arxiv.1408.2388,
title = {Construction of Arbitrary Robust One-Qubit Operations Using Planar Geometry},
author = {Tsubasa Ichikawa and Jefferson G. Filgueiras and Masamitsu Bando and Yasushi Kondo and Mikio Nakahara and Dieter Suter},
journal= {arXiv preprint arXiv:1408.2388},
year = {2014}
}