# Quantum algorithm for preparing the ground state of a system via resonance transition

## TL;DR

This paper introduces a quantum algorithm that uses resonance and measurement to efficiently prepare the ground state of a quantum system, demonstrated through simulation of a model relevant for quantum computation.

## Contribution

The paper presents a novel quantum algorithm leveraging resonance and measurement for ground state preparation, applicable to quantum simulation and computation.

## Key findings

- Successfully simulated the algorithm on the Afflect-Kennedy-Lieb-Tasaki model.
- Demonstrated convergence to the ground state through iterative resonance-based procedure.
- Potential application in quantum computing resource state preparation.

## Abstract

Preparing the ground state of a system is an important task in physics. We propose a quantum algorithm for preparing the ground state of a physical system that can be simulated on a quantum computer. The system is coupled to an ancillary qubit, by introducing a resonance mechanism between the ancilla qubit and the system, and combined with measurements performed on the ancilla qubit, the system can be evolved to monotonically converge to its ground state through an iterative procedure. We have simulated the application of this algorithm for the Afflect-Kennedy-Lieb-Tasaki model, whose ground state can be used as resource state in one-way quantum computation.