Title	Quantum walks, orthogonal polynomials, and spectral graph theory
Creator	Zhan, Hanmeng
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-04-25T13:47
Description	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. <BR> Part of this talk is joint work with Gabriel Coutinho, Luv Vinet and Alexei Zhedanov.
Extent	56.0 minutes
Subject	Mathematics; Quantum theory; Mathematical physics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Waterloo
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-10-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0384625
URI	http://hdl.handle.net/2429/72037
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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