Title	From quantum random walks to quasifree stochastic cocycles
Creator	Belton, Alexander
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-09-04T16:31
Description	Attal and Joye (J. Funct. Anal. 247, 2007) studied a repeated-interactions model driven by particles in a faithful normal state. As they observed, the limit dynamics obey a Langevin equation driven by quantum noises which satisfy the commutation relations for a quasifree state. Inspired by this example, we describe a general framework to handle such quasifree random walks. The theory of quasifree quantum stochastic integration required to describe the limit cocycles builds on early work of Hudson and Lindsay, together with more recent work of Lindsay, Margetts and Weatherall. \\ (Joint work with MichaÂ³ Gnacik, Martin Lindsay and Ping Zhong)
Extent	55.0
Subject	Mathematics; Probability theory and stochastic processes; Quantum theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Lancaster University
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-03-16
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0376992
URI	http://hdl.handle.net/2429/68805
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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