Quantum Mini-Apps for Engineering Applications: A Case Study

TL;DR

This paper presents a case study on implementing a variational quantum algorithm for solving the Poisson equation, discussing practical hardware mapping challenges and software considerations for current quantum systems.

Contribution

It provides insights into real-world implementation challenges of quantum algorithms on non-fault-tolerant hardware for engineering problems.

Findings

Identified hardware mapping challenges for quantum algorithms

Discussed software engineering considerations for practical quantum computing

Demonstrated feasibility of variational quantum algorithms on current hardware

Abstract

In this work, we present a case study in implementing a variational quantum algorithm for solving the Poisson equation, which is a commonly encountered partial differential equation in science and engineering. We highlight the practical challenges encountered in mapping the algorithm to physical hardware, and the software engineering considerations needed to achieve realistic results on today's non-fault-tolerant systems.