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Steffen, David and Pool, Albert and Schelling, Michael and Horstmann, Birger (2025) Quantum algorithms to solve partial differential equations in battery modelling. DPG-Frühjahrstagung der Sektion Atome, Moleküle, Quantenoptik und Photonik (SAMOP), 2025-03-09 - 2025-03-14, Bonn, Deutschland.
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Abstract
Mathematical models of electrochemical systems as batteries or fuel cells consist of sets of coupled nonlinear partial differential equations. We present variational quantum algorithms to simulate these systems on a quantum computer. The spacetime solution can be obtained as the ground state of a Feynman-Kitaev Hamiltonian evaluated via quantum nonlinear processing units (QNPUs) [1] or the system is encoded through feature maps and solved with Differentiable Quantum Circuits (DQC) [2].
These algorithms can be used on different scales from continuum modelling on cell level to molecular dynamics and thus bridging the gap to quantum chemistry which is another promising field of quantum computing in battery research.
[1] Pool, A.J. et al, Phys. Rev. Res. 2024, 6, 033257
[2] Kyriienko, O. et al., Phys. Rev. A 2021, 103, 052416
| Item URL in elib: | https://elib.dlr.de/220844/ | ||||||||||||||||||||
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| Document Type: | Conference or Workshop Item (Poster) | ||||||||||||||||||||
| Title: | Quantum algorithms to solve partial differential equations in battery modelling | ||||||||||||||||||||
| Authors: |
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| Date: | March 2025 | ||||||||||||||||||||
| Refereed publication: | No | ||||||||||||||||||||
| Open Access: | No | ||||||||||||||||||||
| Gold Open Access: | No | ||||||||||||||||||||
| In SCOPUS: | No | ||||||||||||||||||||
| In ISI Web of Science: | No | ||||||||||||||||||||
| Status: | Published | ||||||||||||||||||||
| Keywords: | battery modeling; partial differential equations; variational quantum algorithm; | ||||||||||||||||||||
| Event Title: | DPG-Frühjahrstagung der Sektion Atome, Moleküle, Quantenoptik und Photonik (SAMOP) | ||||||||||||||||||||
| Event Location: | Bonn, Deutschland | ||||||||||||||||||||
| Event Type: | national Conference | ||||||||||||||||||||
| Event Start Date: | 9 March 2025 | ||||||||||||||||||||
| Event End Date: | 14 March 2025 | ||||||||||||||||||||
| Organizer: | Deutsche Physikalische Gesellschaft | ||||||||||||||||||||
| HGF - Research field: | Energy | ||||||||||||||||||||
| HGF - Program: | Materials and Technologies for the Energy Transition | ||||||||||||||||||||
| HGF - Program Themes: | Electrochemical Energy Storage | ||||||||||||||||||||
| DLR - Research area: | Energy | ||||||||||||||||||||
| DLR - Program: | E SP - Energy Storage | ||||||||||||||||||||
| DLR - Research theme (Project): | E - Electrochemical Storage, QC - BASIQ | ||||||||||||||||||||
| Location: | Ulm | ||||||||||||||||||||
| Institutes and Institutions: | Institute of Engineering Thermodynamics > Computational Electrochemistry | ||||||||||||||||||||
| Deposited By: | Steffen, David | ||||||||||||||||||||
| Deposited On: | 15 Dec 2025 15:57 | ||||||||||||||||||||
| Last Modified: | 15 Dec 2025 15:57 |
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