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BIRS Workshop Lecture Videos

Quantum walks, orthogonal polynomials, and spectral graph theory Zhan, Hanmeng


Some quantum walks can be modeled using weighted graphs, where each vertex represents a qubit, each weighted edge indicates the coupling strength between two qubits, and each weighted loop indicates the strength of the magnetic field of a qubit. In this talk, I will discuss two analytic approaches to quantum walks: orthogonal polynomials, which have been applied mostly to weighted paths, and spectral graphs theory, which has been applied mostly to simple unweighted graphs. I will also talk about some interesting relations between quantum walks on weights paths and quantum walks on simple unweighted graphs.
Part of this talk is joint work with Gabriel Coutinho, Luv Vinet and Alexei Zhedanov.

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