# Suppressing the geometric dephasing of Berry phase by using modified dynamical decoupling sequences

## TL;DR

This paper introduces modified dynamical decoupling sequences to effectively suppress residual geometric dephasing in quantum systems, enhancing the precision of geometric quantum gates.

## Contribution

The paper proposes two novel modified dynamical decoupling schemes specifically targeting residual geometric dephasing, which traditional methods cannot adequately suppress.

## Key findings

- Numerical simulations confirm the effectiveness of the proposed schemes.
- The schemes improve the robustness of geometric quantum gates against residual dephasing.
- The methods extend the applicability of dynamical decoupling in quantum information processing.

## Abstract

Even though the traditional dynamical decoupling methods have the ability to resist dynamic dephasing caused by low frequency noise, they are not appropriate for suppressing the residual geometric dephasing, which arises from the disturbance for the geometric loop in the parameter space. This prevents the precision of quantum manipulation based geometric quantum gates from being promoted further. In this paper, we design two kinds of modified dynamical decoupling schemes to suppress the residual geometric dephasing. The further numerical simulation demonstrates the validity of our schemes.