State Preparation in the Heisenberg Model through Adiabatic Spiraling

TL;DR

The paper introduces the adiabatic spiral method for preparing states in the Heisenberg model, demonstrating its potential advantages over Trotterized evolution on various quantum platforms.

Contribution

It proposes a new adiabatic state preparation technique called the adiabatic spiral and compares its performance to Trotterized evolution.

Findings

Adiabatic spiral outperforms Trotterized methods in simulations.

Suitable for implementation on Rydberg atoms, trapped ions, superconducting qubits.

Classical simulations suggest feasibility in near-term quantum devices.

Abstract

An adiabatic state preparation technique, called the adiabatic spiral, is proposed for the Heisenberg model. This technique is suitable for implementation on a number of quantum simulation platforms such as Rydberg atoms, trapped ions, or superconducting qubits. Classical simulations of small systems suggest that it can be successfully implemented in the near future. A comparison to Trotterized time evolution is performed and it is shown that the adiabatic spiral is able to outperform Trotterized adiabatics.