Polynomial scaling enhancement in ground-state preparation of Ising spin models via counter-diabatic driving

TL;DR

This paper demonstrates that using counter-diabatic driving significantly improves the efficiency of ground-state preparation in Ising spin models, surpassing traditional adiabatic methods by exploiting diabatic transitions.

Contribution

It introduces a polynomial scaling enhancement in ground-state preparation by employing local and multi-spin counter-diabatic driving techniques.

Findings

Counter-diabatic driving improves ground-state fidelity.

Scaling advantage over adiabatic methods in Ising models.

Effective for various spin model configurations.

Abstract

The preparation of ground states of spin systems is a fundamental operation in quantum computing and serves as the basis of adiabatic quantum computing. This form of quantum computation is subject to the adiabatic theorem which in turn poses a fundamental speed limit. We show that by employing diabatic transitions via counter diabatic driving a less strict requirement on adiabaticity applies. We demonstrate a scaling advantage from local and multi-spin counter diabatic driving in the ground-state fidelity compared to their adiabatic counterpart, for different Ising spin models.