Title	Measuring quantum correlation via completely bounded norms
Creator	Beigi, Salman
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2015-02-25T08:51
Description	A hypercontractivity ribbon is a measure of bipartite correlation that is dened based on the operator norm of some linear map between Schatten classes that is associated to a given bipartite distribution. This measure of correlation has the intriguing property that the hypercontractivity ribbon of a bipartite distribution is equal to that of its i.i.d. repetitions. This talk is about the generalization of hypercontractivity ribbon for bipartite quantum states. We will discuss that to generalize the above property of the hypercontractivity ribbon to the quantum case we should use completely bounded norms. Then non-commutative vector valued Schatten spaces naturally appear in the study of quantum correlations. Finally we comment that these spaces also appear in the definition of a new generalization of Renyi (conditional) entropy to the quantum case.
Extent	54 minutes
Subject	Mathematics; Quantum theory; Functional analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Institute for Research in Fundamental Sciences (IPM)
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2015-12-02
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0220758
URI	http://hdl.handle.net/2429/55652
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Aggregated Source Repository	DSpace

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Measuring quantum correlation via completely bounded norms Beigi, Salman

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