Noncyclic nonadiabatic holonomic quantum gates via shortcuts to adiabaticity

TL;DR

This paper introduces a fast, robust, and high-fidelity method for implementing noncyclic nonadiabatic holonomic quantum gates using shortcuts to adiabaticity, suitable for scalable quantum computing.

Contribution

It presents a novel scheme to engineer high-fidelity holonomic quantum gates with reduced evolution time via shortcuts to adiabaticity, enhancing robustness and experimental feasibility.

Findings

Achieves high-fidelity quantum gates with less evolution time.

Provides a scheme compatible with current quantum systems.

Enhances robustness against noise and errors.

Abstract

High-fidelity quantum gates are essential for large-scale quantum computation. However, any quantum manipulation will inevitably affected by noises, systematic errors and decoherence effects, which lead to infidelity of a target quantum task. Therefore, implementing high-fidelity, robust and fast quantum gates is highly desired. Here, we propose a fast and robust scheme to construct high-fidelity holonomic quantum gates for universal quantum computation based on resonant interaction of three-level quantum systems via shortcuts to adiabaticity. In our proposal, the target Hamiltonian to induce noncyclic non-Abelian geometric phases can be inversely engineered with less evolution time and demanding experimentally, leading to high-fidelity quantum gates in a simple setup. Besides, our scheme is readily realizable in physical system currently pursued for implementation of quantum computation. Therefore, our proposal represents a promising way towards fault-tolerant geometric quantum computation.