Evaluation and Suppression of Vibrational Noise for Cryogenic Surface Electrode Ion Traps

Cryogenic ion traps offer substantial benefits over their room-temperature counterparts, particularly in terms of stable ion confinement and cooling. However, this technological growth introduces a significant challenge: the generation of additional vibrational noise. This noise is most pronounced during the compression and expansion phases of the Gifford-McMahon cyclic refrigerator (GMCR) and stems from the mechanical operations of the cold head. Residual vibrational noise can modulate the Rabi oscillation frequency, thereby compromising the fidelity of the quantum logic gate. In this study, we provide a quantitative assessment of the impact of residual vibrational noise and introduce an innovative strategy for its mitigation. This strategy was designed to reduce superimposed potential fluctuations within a cryogenic surface electrode ion trap (CSEIT). The measured residual vibrational noise was used for real-time feedback control. Addressing the inverse determination of the compensating potential for a stable superimposed trapping potential is an inherently ill-posed problem given the known measurement noise results. By applying quadratic programming, we numerically calculated the optimal time series for the compensation potential. An ensemble of these compensation voltages was applied in real time to the static compensation electrodes. Although this method still in the stage of theory, we believe that it could effectively suppress the translation induced by vibrational noise and foster the creation of a stable superimposed harmonic potential well. The deployment of such a technique is expected to substantially improve the accuracy of quantum operations, thereby fueling the evolution of quantum technologies.