# Shortcut Scheme for One-Step Implementation of a Three-Qubit Nonadiabatic Holonomic Gate

## TL;DR

This paper proposes a single-step scheme for implementing a three-qubit nonadiabatic holonomic gate in cavity QED systems, leveraging shortcuts to adiabaticity to enhance robustness and fidelity.

## Contribution

It introduces a novel shortcut-based method for one-step three-qubit holonomic gate implementation in cavity QED, improving efficiency and robustness.

## Key findings

- High-fidelity gate operation demonstrated
- Enhanced decoherence resistance shown in simulations
- Single-step implementation simplifies quantum gate procedures

## Abstract

Nonadiabatic holonomic quantum computation has attracted increasing interest because of its robustness. In this paper, based on the shortcuts to adiabaticity (STA), we propose a scheme to construct a three-qubit nonadiabatic holonomic gate in a cavity quantum electrodynamics system. In the scheme, the three-qubit holonomic gate is implemented in a single step. Besides, numerical simulations show that the constructed holonomic quantum gate holds the characteristics of high-fidelity, decoherence-resistance and error-immunity.