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Lecture Notes on Quantum Algorithms

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Lecture Notes onQuantum AlgorithmsAndrew M. ChildsDepartment of Computer Science,Institute for Advanced Computer Studies, andJoint Center for Quantum Information and Computer ScienceUniversity of Maryland29 April 2021iiContentsPrefacevii1 Quantum data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Quantum circuits . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Universal gate sets . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Reversible computation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . Uniformity.

Lecture Notes on Quantum Algorithms ... we explore the concept of quantum walk, a quantum generalization of random walk. This ... • InPart IV, we discuss the model of quantum query complexity. We cover the two main methods for proving lower bounds on quantum query complexity (the polynomial method and the adversary

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