Berry Phase Estimation in Gate-Based Adiabatic Quantum Simulation

TL;DR

This paper introduces a quantum algorithm for estimating the Berry phase in gate-based adiabatic quantum simulations, enabling topological classification of quantum systems and demonstrating potential for near-term quantum hardware.

Contribution

The paper proposes a novel quantum algorithm to estimate Berry phases, applicable to both single-particle and interacting topological models, aiding topological matter classification.

Findings

Algorithm successfully estimates Berry phase in various models

Differentiates between single-particle and interacting topological phases

Shows potential for implementation on near-term quantum hardware

Abstract

Gate-based quantum computers can in principle simulate the adiabatic dynamics of a large class of Hamiltonians. Here we consider the cyclic adiabatic evolution of a parameter in the Hamiltonian. We propose a quantum algorithm to estimate the Berry phase and use it to classify the topological order of both single-particle and interacting models, highlighting the differences between the two. This algorithm is immediately extensible to any interacting topological system. Our results evidence the potential of near-term quantum hardware for the topological classification of quantum matter.