Fig. 2: Microwaves near 9.925 GHz allow for arbitrary rotations on the qubit Bloch sphere.
From: High-fidelity manipulation of a qubit enabled by a manufactured nucleus

a Probability of shelving \(\left|1\right\rangle\) after microwave rotations of the form R(ΩRt, 0), where ΩR = 2π × 57.03(3) kHz. b, c To prepare the \(\left|1\right\rangle\) state, the five π-pulse CP Robust 180 sequence \(R(\pi ,\frac{\pi }{6})R(\pi ,0)R(\pi ,\frac{\pi }{2})R(\pi ,0)R(\pi ,\frac{\pi }{6})\) transfers population from the initially prepared \(\left|0\right\rangle\) state. b Probability of shelving \(\left|1\right\rangle\) vs. microwave detuning using the CP Robust 180 sequence with ΩR = 2π × 35.4(1) kHz. Points are experimental data and solid line represents theoretical prediction for this composite pulse sequence with no fit parameters. c Pulse area (\(t=\frac{\theta }{{\Omega }_{R}}\)) scan at zero detuning using the CP Robust 180 sequence. Dashed dotted lines in b, c are theory for a single π-pulse, R(π, 0). Statistical error bars on individual data points are smaller than markers.