ON THE MATHEMATICS OF QUANTUM COMPUTING

IQC Seminar Presentation featuring Ali Assem Mahmoud, University of Waterloo

This talk aims to highlight some mathematical tools that can be used in prob- lems related to quantum computing. We start with monogamy-of-entanglement games and study how to approach them through the Haar measure on unitary matrices. In the second part of the talk we shall see that some of the mathematical approaches recently used in quantum field theory can be related to the theory of computing. In particular, Y. Manin has adapted the Hopf-algebraic formulation of renormalization to as well encode the halt- ing problem of computing. Accordingly, this will also be a chance to discuss the use of enumerative combinatorics in solving the generalized Dyson-Schwinger equations

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