Entropy considerations in the noncommutative setting

An analogue of the classical link between the relative entropy and Fisher information entropy is presented in the context of free probability theory. Several generalizations of the relative entropy in terms of density matrices are also discussed.

Bibliographic Details
Main Author:	Patricia Giurgescu
Format:	Article
Language:	English
Published:	Hindawi Limited 2000-01-01
Series:	International Journal of Mathematics and Mathematical Sciences
Subjects:	Free convolution infinitely divisible laws relative entropy free entropy Fisher information.
Online Access:	http://dx.doi.org/10.1155/S0161171200004567

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spelling	doaj-48c7d5310c984331880ad82cc770d5602020-11-24T23:01:08ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252000-01-01241280781910.1155/S0161171200004567Entropy considerations in the noncommutative settingPatricia Giurgescu0Mathematics Department, Pace University, 861 Bedford rd., Pleasantville 10507, NY, USAAn analogue of the classical link between the relative entropy and Fisher information entropy is presented in the context of free probability theory. Several generalizations of the relative entropy in terms of density matrices are also discussed.http://dx.doi.org/10.1155/S0161171200004567Free convolutioninfinitely divisible lawsrelative entropyfree entropyFisher information.
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Patricia Giurgescu
spellingShingle	Patricia Giurgescu Entropy considerations in the noncommutative setting International Journal of Mathematics and Mathematical Sciences Free convolution infinitely divisible laws relative entropy free entropy Fisher information.
author_facet	Patricia Giurgescu
author_sort	Patricia Giurgescu
title	Entropy considerations in the noncommutative setting
title_short	Entropy considerations in the noncommutative setting
title_full	Entropy considerations in the noncommutative setting
title_fullStr	Entropy considerations in the noncommutative setting
title_full_unstemmed	Entropy considerations in the noncommutative setting
title_sort	entropy considerations in the noncommutative setting
publisher	Hindawi Limited
series	International Journal of Mathematics and Mathematical Sciences
issn	0161-1712 1687-0425
publishDate	2000-01-01
description	An analogue of the classical link between the relative entropy and Fisher information entropy is presented in the context of free probability theory. Several generalizations of the relative entropy in terms of density matrices are also discussed.
topic	Free convolution infinitely divisible laws relative entropy free entropy Fisher information.
url	http://dx.doi.org/10.1155/S0161171200004567
work_keys_str_mv	AT patriciagiurgescu entropyconsiderationsinthenoncommutativesetting
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Entropy considerations in the noncommutative setting

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