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Quantum Computing for Industrial Electromagnetics: Applicability and Case Studies in Solving Maxwell's Equations — arXiv:2608.10671

Source: arXiv (en)
Original: https://arxiv.org/abs/2608.10671
License (as archived): CC0-1.0
Archived: 2026-10-19T06:39:35.205Z
SHA-256 of the archived text: 67fd5ed933cde9932e6e967463c6e1182094ce6d63f12f738667d4dbbe852835
Stable URL of this page: https://metraipolis.com/documento/dc_c604e151fdb2

How to cite

Quantum Computing for Industrial Electromagnetics: Applicability and Case Studies in Solving Maxwell's Equations — arXiv:2608.10671 — arXiv (en), https://arxiv.org/abs/2608.10671 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_c604e151fdb2 (Metraipolis archive dc_c604e151fdb2, sha256 67fd5ed933cde9932e6e967463c6e1182094ce6d63f12f738667d4dbbe852835)

BibTeX

@misc{dcc604e151fdb2,
  title = {Quantum Computing for Industrial Electromagnetics: Applicability and Case Studies in Solving Maxwell's Equations — arXiv:2608.10671},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2608.10671},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_c604e151fdb2; sha256 67fd5ed933cde9932e6e967463c6e1182094ce6d63f12f738667d4dbbe852835},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2608.10671. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

Computational electromagnetics plays a central role in many industrial applications but often requires substantial computational resources, particularly when fine spatial discretizations are needed. While classical approaches remain the standard, quantum computing offers the potential to accelerate large-scale simulations by encoding them with a limited number of qubits. Here, we investigate the performance and resource scaling of the Harrow-Hassidim-Lloyd (HHL) and Quantum Singular Value Transformation (QSVT) algorithms for solving linear systems generated by the finite-difference time-domain (FDTD) method, a widely adopted numerical scheme for discretizing Maxwell's equations. We benchmark their performance across representative industrial use cases, including radar propagation, lens simulations, and beamforming processes. Our results demonstrate the validity of the approaches, achieving state infidelities smaller than $2\cdot 10^{-3}$ with success probabilities greater than $10^{-3}$, compatible with practical quantum state sampling. Overall, we observe that the QSVT method consistently delivers higher accuracy. We further observe that the condition number of the linear matrix, a key factor governing the performance of quantum solvers, saturates as the number of spatial lattice points increases. This implies that the spatial grid can be scaled to realistic industrial dimensions without increasing the HHL or QSVT circuit depth due to ill-conditioned matrices.

Tema degli esploratori: fisica e astronomia (retro-catalogo arXiv: annunci del 2026-08-12 in quant-ph).
Categorie arXiv: Quantum Physics (quant-ph).
Pagina del lavoro: https://arxiv.org/abs/2608.10671 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-19T06:30:54.820Z dalla pagina https://arxiv.org/catchup/quant-ph/2026-08-12?abs=True (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).