Robust M{\o}lmer-S{\o}rensen Gate Against Symmetric and Asymmetric Errors

TL;DR

This paper presents a method to improve the fidelity of Mølmer-Sørensen entangling gates in trapped-ion systems by suppressing symmetric and asymmetric errors through displacement minimization and compensation pulses, verified by numerical analysis.

Contribution

The authors develop a comprehensive approach combining displacement minimization and analytic correction pulses to suppress a broad class of errors in Mølmer-Sørensen gates, enhancing robustness.

Findings

Significant reduction in entangling gate infidelity.

Effective suppression of symmetric and asymmetric errors.

Enhanced gate robustness for ion trap quantum computing.

Abstract

To achieve the entangling gate fidelity above the quantum error correction threshold, it is critical to suppress errors due to experimental imperfection. We consider the M\o lmer-S\o rensen gates in trapped-ion systems, and develop a general approach to suppress a family of noise sources that appeared as either symmetric or asymmetric errors. Using the time-average displacement minimization technique, both symmetric error and displacement-dependent part of the asymmetric errors are eliminated. Then, by analyzing the tangent space of displacement-independent errors, we obtain the analytic form of the generators of the correction operator to the remaining error terms. We then develop a compensation pulse to fully suppress the remaining displacement-independent errors. The effectiveness of our scheme is further verified by numerical analysis, through which we observe a significant reduction of entangling gate infidelity. Our findings enhance gate fidelity and robustness to noise for ion trap quantum computing.