Title	Multivariate Krawtchouk polynomials and quantum walks on the associated graphs
Creator	Miki, Hiroshi
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-04-25T15:01
Description	It is known that Krawtchouk polynomials play a central role in the analysis of (continuous-time) quantum walk on hypercube. Such walk also gives the spin lattice Hamiltonian where perfect state transfer occurs. In this talk (or presentation), we will start with multivariate Krawtchouk polynomials. We will introduce the associated graph and show that some spin lattice Hamiltonian in multi-dimension can be described as projections of quantum walk on this graph. In the model, fractional revival in addition to perfect state transfer is shown to take place. <BR> This is based on the joint-work with Satoshi Tsujimoto and Luc Vinet.
Extent	44.0 minutes
Subject	Mathematics; Quantum theory; Mathematical physics
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Meteorological College
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	10.14288/1.0384626
URI	http://hdl.handle.net/2429/72038
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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