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Quantum computing uses quantum mechanical principles to process information in ways that can outperform classical computation for certain tasks. This course will provide an introduction to the mathematical theory of quantum computing. Topics include: • An introduction to the quantum information framework; • Several key quantum algorithms (including Shor’s factoring algorithm and Grover’s search algorithm) • Core ideas from Quantum information theory(including density matrices and quantum operations on them , distance measures between quantum states.) If time allows, we will also introduce problems in quantum computing that can be studied using tools from algebraic graph theory such as quantum walks.