Magic Conditions in the Hyperfine Clock Qubit of 133Ba+

Trapped ion quantum computing requires high power lasers to perform gate operations. Because of this, unwanted shifts of the qubit frequency spacing caused by laser intensity fluctuations lead to decreases in qubit coherence times as well as gate errors during operation. At zero applied magnetic field, it is impossible to eliminate these shifts when manipulating atoms with laser light. However, at non-zero magnetic field, state mixing leads to magic conditions where these shifts are eliminated. Taking advantage of these mixed states, we show a large increase in qubit coherence time when exposed to a high power laser at easily set lab conditions. Furthermore, the threshold field is sensitive to higher-order perturbations which allows for a comparison of experiment to theory.