Mathematical Foundation for Quantum Computing of Electromagnetic Wave Propagation in Dielectric Media

TL;DR

This paper explores the mathematical basis for using quantum computers to simulate electromagnetic wave propagation in dielectric media, addressing the potential advantages over classical computational methods.

Contribution

It introduces foundational concepts linking quantum computing with electromagnetic wave simulation in dielectrics, highlighting the theoretical potential for quantum advantage.

Findings

Quantum computers may surpass classical methods in simulating Maxwell equations.

Current classical simulations are limited by technological constraints.

The chapter discusses the mathematical and physical principles underlying this approach.

Abstract

Can quantum computers effectively simulate the propagation and scattering of electromagnetic waves in a classical plasma? This chapter introduces some of the basic concepts in mathematics and physics essential to answering that question. The numerical simulations of Maxwell equations for wave propagation in dielectrics are constrained by technological limitations of the present-day computers. In contrast, there has been ample fanfare around quantum computers and their potential to far exceed the performance of traditional computers. Whether the enhanced capabilities of a quantum computer can be put to use for simulating topics in classical physics is a source of intrigue and curiosity.