# Simulating quantum many-body dynamics on a current digital quantum computer

## TL;DR

This paper demonstrates the use of current IBM quantum computers to qualitatively simulate quantum many-body dynamics, revealing localization and interaction effects despite hardware limitations.

## Contribution

It is the first to benchmark and showcase qualitative quantum many-body simulations on existing digital quantum computers.

## Key findings

- Current quantum hardware cannot yet accurately simulate large-scale dynamics quantitatively.
- Qualitative features of localization and interaction effects are observable.
- Simulations are limited to small system sizes comparable to exact diagonalization.

## Abstract

Universal quantum computers are potentially an ideal setting for simulating many-body quantum dynamics that is out of reach for classical digital computers. We use state-of-the-art IBM quantum computers to study paradigmatic examples of condensed matter physics -- we simulate the effects of disorder and interactions on quantum particle transport, as well as correlation and entanglement spreading. Our benchmark results show that the quality of the current machines is below what is necessary for quantitatively accurate continuous time dynamics of observables and reachable system sizes are small comparable to exact diagonalization. Despite this, we are successfully able to demonstrate clear qualitative behaviour associated with localization physics and many-body interaction effects.