@inproceedings{4e89c653fdcb484f92af047507250749,
title = "Adaptive Mesh Refinement Quantum Algorithm for Maxwell's Equations",
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.",
keywords = "Adaptive mesh refinement, Block-encoding, Finite element method, Maxwell's equations, Quantum computing",
author = "Elise Fressart and Michel Nowak and Nicole Spillane",
note = "Publisher Copyright: {\textcopyright} 2025 IEEE.; 6th IEEE International Conference on Quantum Computing and Engineering, QCE 2025 ; Conference date: 31-08-2025 Through 05-09-2025",
year = "2025",
month = jan,
day = "1",
doi = "10.1109/QCE65121.2025.00043",
language = "English",
series = "Proceedings - IEEE Quantum Week 2025, QCE 2025",
publisher = "Institute of Electrical and Electronics Engineers Inc.",
pages = "312--319",
editor = "Candace Culhane and Greg Byrd and Hausi Muller and Andrea Delgado and Stephan Eidenbenz",
booktitle = "Technical Papers Program",
}