Construction of arbitrary robust one-qubit operations using planar geometry
Tsubasa Ichikawa, Jefferson Gonçalves Filgueiras, Masamitsu Bando, Yasushi Kondo, Mikio Nakahara, Dieter Suter · Physical Review A · 2014
We show how to construct an arbitrary robust one-qubit unitary operation with a control Hamiltonian of ${A}_{x}(t){\ensuremath{\sigma}}_{x}+{A}_{y}(t){\ensuremath{\sigma}}_{y}$, where ${\ensuremath{\sigma}}_{i}$ is a Pauli matrix and ${A}_{i}(t)$ 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.