University of South Florida 3 credits MAD
This course introduces the concept of quantum algorithms, and the tools to measure their performances. Special attention will be given to the description and the analysis of Shor’s algorithm for factoring large integers and Grover’s algorithm for searching an unsorted database. A goal of the course is to provide students with the necessary background for understanding quantum algorithms when formalized in the gate model. This involves being able to decompose the action of a unitary matrix on an input quantum state into a sequence of actions of elementary unitary matrices (the elementary gates). This course provides such a description of two of the most famous quantum algorithms, namely Shor’s factoring algorithm, and Grover’s search algorithm. In this course, the students also study Kuperberg’s algorithm for searching subgroups of the dihedral group and its concrete applications. Prerequisite: MAS 3105 (min grade C) OR MAS 3114 (min grade C) OR EGN 4450 (min grade C)
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