Work

Adaptive Mesh Refinement Quantum Algorithm for Maxwell's Equations

Year: 2025

Type: conference-paper

Abstract: Algorithms that promise to leverage resources of quantum computers efficiently to accelerate the finite element method have emerged. However, the finite element method is usually incorporated into a high-level numerical scheme which allows the adaptive refinement of the mesh on which the solution is approximated. In this work, we propose to extend adaptive mesh refinement to the quantum formalism, and apply our method to the solution of Maxwell's equations. An important step in this procedure is the computation of error estimators, which guide the refinement. By using block-encoding, we propose a way to compute these estimators with quantum circuits. We present first numerical experiments on a 2D geometry.

Source: IEEE International Conference on Quantum Computing and Engineering (QCE)

DOI: 10.1109/qce65121.2025.00043

Authors: Elise Fressart, Michel Nowak, Nicole Spillane

Institutions: Centre de Mathématiques Appliquées de l'École polytechnique, Thales (France), Centre National de la Recherche Scientifique, École Polytechnique, Institut Polytechnique de Paris

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W4415313784

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