The paper proves feasibility of quantum domain decomposition preconditioning for FEM Poisson problems with the two-level Additive Schwarz method, supplies block-encoding bounds, derives quantum solver complexity, and details a BPX local solver choice.
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Quantum Domain Decomposition for Preconditioning the Finite Element Method
The paper proves feasibility of quantum domain decomposition preconditioning for FEM Poisson problems with the two-level Additive Schwarz method, supplies block-encoding bounds, derives quantum solver complexity, and details a BPX local solver choice.