# Disorder-assisted graph coloring on quantum annealers

## TL;DR

This paper explores how static disorder, typically seen as detrimental, can actually improve the performance of quantum annealers in solving graph coloring problems by enhancing fidelity and efficiency.

## Contribution

It demonstrates that tailored static disorder can assist quantum annealers, improving their performance on graph coloring tasks.

## Key findings

- Disorder can enhance quantum annealer performance
- Tailored noise increases annealing fidelity
- Performance improvements observed on chimera graph

## Abstract

We are at the verge of a new era, which will be dominated by Noisy Intermediate-Scale Quantum Devices. Prototypical examples for these new technologies are present-day quantum annealers. In the present work, we investigate to what extent static disorder generated by an external source of noise does not have to be detrimental, but can actually assist quantum annealers in achieving better performance. In particular, we analyze the graph coloring problem that can be solved on a sparse topology (i.e. chimera graph) via suitable embedding. We show that specifically tailored disorder can enhance the fidelity of the annealing process and thus increase the overall performance of the annealer.