Bonn 2025 – scientific programme
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QI: Fachverband Quanteninformation
QI 36: Poster – Quantum Information (joint session QI/Q)
QI 36.39: Poster
Thursday, March 13, 2025, 17:00–19:00, Tent
Quantum algorithms to solve partial differential equations in battery modelling — •David Steffen1,2, Albert Pool1,2, Michael Schelling1,2, and Birger Horstmann1,2,3 — 1Deutsches Zentrum für Luft- und Raumfahrt e.V. (DLR), Wilhelm-Runge-Str. 10, 89081 Ulm — 2Helmholtz Institute Ulm, Helmholtzstr. 11, 89081 Ulm — 3Department of Physics, Ulm University, Albert-Einstein-Allee 11, 89081 Ulm
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
Keywords: PDE; variational quantum algorithm; battery