# Environmental noise reduction for holonomic quantum gates

## TL;DR

This paper investigates how to improve the fidelity of holonomic quantum gates affected by environmental noise by optimizing control parameters, revealing that performance can increase over time and comparing with STIRAP gates.

## Contribution

It demonstrates a method to enhance holonomic gate performance through parameter loop optimization and compares their robustness with STIRAP gates.

## Key findings

- Gate fidelity improves over time with proper control choices
- Optimized loops in control parameters enhance noise resilience
- Holonomic gates can outperform STIRAP under certain conditions

## Abstract

We study the performance of holonomic quantum gates, driven by lasers, under the effect of a dissipative environment modeled as a thermal bath of oscillators. We show how to enhance the performance of the gates by suitable choice of the loop in the manifold of the controllable parameters of the laser. For a simplified, albeit realistic model, we find the surprising result that for a long time evolution the performance of the gate (properly estimated in terms of average fidelity) increases. On the basis of this result, we compare holonomic gates with the so-called stimulated Raman adiabatic passage (STIRAP) gates.