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Explore the cutting-edge field of classical simulation of quantum circuits in this conference talk that examines when and how quantum devices can surpass classical methods in practice. Delve into Pauli propagation as a powerful classical simulation framework that significantly raises the benchmark for demonstrating quantum advantage by approximating the evolution of quantum operators in the Pauli basis. Discover how these methods achieve rigorous performance guarantees across a wide range of noisy and noiseless circuits, and learn about recent theoretical advances in Pauli propagation. Understand the potential applications beyond classical simulation, including quantum-inspired machine learning models and hybrid strategies that facilitate the practical deployment of near-term quantum devices. Examine how the propagation framework can be generalized from discrete-variable to continuous-variable quantum systems, providing insights into the evolving landscape of quantum computing and its classical counterparts.
