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Learn about Szegedy walk unitaries and their applications to quantum maps in this 39-minute conference talk by Kristan Temme from IBM Thomas J. Watson Research Center, presented at IPAM's New Frontiers in Quantum Algorithms for Open Quantum Systems Workshop. Explore the mathematical framework of Szegedy walks, which provide a quantum analogue of classical random walks, and discover how these unitary operators can be applied to analyze and simulate quantum maps. Gain insights into the theoretical foundations of quantum walk algorithms and their potential applications in quantum computing, particularly in the context of open quantum systems where environmental interactions play a crucial role. Understand the connections between quantum walks, quantum algorithms, and the broader field of quantum information processing through this specialized presentation delivered at UCLA's Institute for Pure & Applied Mathematics.
