Quantum 2025 – scientific programme
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MON: Monday Contributed Sessions
MON 18: Quantum Algorithms
MON 18.2: Talk
Monday, September 8, 2025, 16:45–17:00, ZHG007
Variational quantum algorithms for continuum modelling of batteries — •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
We present variational quantum algorithms (VQAs) for continuum models in electro-chemical energy-storage-systems, focusing on transport equations in batteries. Our method uses a space-time encoding with time evolution based on the Feynman-Kitaev Hamiltonian, as introduced in [1]. We show how to implement the non-linear terms of the transport equations and discuss efficient quantum circuits to evaluate the terms of this Hamiltonian, and to realize suitable boundary conditions. Further, we present an adaptive optimisation strategy to find the ground state, which represents the solution to a differential-algebraic system of equations.
[1] Pool et al. Phys. Rev. Research 6, 033257 (2024).
Keywords: quantum computing; variational quantum algorithm; battery modelling