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Explore peer-to-peer energy trading on local grids through the lens of quantum optimization in this 20-minute conference talk from the Quantum Developer Conference 2025. Learn how E.ON and IBM Quantum tackle challenging minimum Birkhoff decomposition instances from the Quantum Optimization Benchmarking Library using an innovative Frank-Wolfe based heuristic that incorporates QAOA (Quantum Approximate Optimization Algorithm) as a sampling subroutine. Discover how this quantum-enhanced approach outperforms the best classical solvers in simulation while demonstrating utility-scale performance on IBM quantum hardware, showcasing practical applications of quantum computing in energy sector optimization problems.