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

arXiv Quantum Physics
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⚡ Quantum Brief
Researchers from the U.S. and Greece propose a mathematical framework to assess whether quantum computers can efficiently simulate electromagnetic wave propagation in dielectric media, addressing long-standing computational limits in classical Maxwell equation modeling. The study questions if quantum computing’s theoretical advantages—like exponential speedups—can overcome classical supercomputers’ struggles with complex wave-scattering simulations in plasmas and dielectrics. Authors Abhay K. Ram, Efstratios Koukoutsis, George Vahala, and Kyriakos Hizanidis bridge quantum physics and classical electromagnetics, offering foundational tools to evaluate quantum algorithms for real-world physics problems. Published in April 2026, the preprint highlights gaps between quantum hype and practical applications, urging rigorous mathematical validation before claiming quantum supremacy in classical physics simulations. The work ties to a forthcoming book chapter, signaling growing academic focus on hybrid quantum-classical methods for computationally intensive electromagnetic problems.
Mathematical Foundation for Quantum Computing of Electromagnetic Wave Propagation in Dielectric Media

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Quantum Physics arXiv:2604.26099 (quant-ph) [Submitted on 28 Apr 2026] Title:Mathematical Foundation for Quantum Computing of Electromagnetic Wave Propagation in Dielectric Media Authors:Abhay K. Ram, Efstratios Koukoutsis, George Vahala, Kyriakos Hizanidis View a PDF of the paper titled Mathematical Foundation for Quantum Computing of Electromagnetic Wave Propagation in Dielectric Media, by Abhay K. Ram and 2 other authors View PDF HTML (experimental) 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. Comments: Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.26099 [quant-ph] (or arXiv:2604.26099v1 [quant-ph] for this version) https://doi.org/10.48550/arXiv.2604.26099 Focus to learn more arXiv-issued DOI via DataCite (pending registration) Related DOI: https://doi.org/10.1007/978-3-031-84245-0 Focus to learn more DOI(s) linking to related resources Submission history From: Efstratios Koukoutsis [view email] [v1] Tue, 28 Apr 2026 20:29:26 UTC (62 KB) Full-text links: Access Paper: View a PDF of the paper titled Mathematical Foundation for Quantum Computing of Electromagnetic Wave Propagation in Dielectric Media, by Abhay K. Ram and 2 other authorsView PDFHTML (experimental)TeX Source view license Current browse context: quant-ph new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADSGoogle Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... Data provided by: Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Code, Data and Media Associated with this Article alphaXiv Toggle alphaXiv (What is alphaXiv?) Links to Code Toggle CatalyzeX Code Finder for Papers (What is CatalyzeX?) DagsHub Toggle DagsHub (What is DagsHub?) GotitPub Toggle Gotit.pub (What is GotitPub?) Huggingface Toggle Hugging Face (What is Huggingface?) ScienceCast Toggle ScienceCast (What is ScienceCast?) Demos Demos Replicate Toggle Replicate (What is Replicate?) Spaces Toggle Hugging Face Spaces (What is Spaces?) Spaces Toggle TXYZ.AI (What is TXYZ.AI?) Related Papers Recommenders and Search Tools Link to Influence Flower Influence Flower (What are Influence Flowers?) Core recommender toggle CORE Recommender (What is CORE?) Author Venue Institution Topic About arXivLabs arXivLabs: experimental projects with community collaborators arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website. Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them. Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs. Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)

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Source: arXiv Quantum Physics