Universal freezing of quantum correlations within the geometric approach

Quantum correlations in a composite system can be measured by resorting to a geometric approach, according to which the distance from the state of the system to a suitable set of classically correlated states is considered. Here we show that all distance functions, which respect natural assumptions...

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Main Authors:	Cianciaruso, Marco, Bromley, Thomas R., Roga, Wojciech, Lo Franco, Rosario, Adesso, Gerardo
Format:	Online
Language:	English
Published:	Nature Publishing Group 2015
Online Access:	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4650645/

id	pubmed-4650645
recordtype	oai_dc
spelling	pubmed-46506452015-11-24 Universal freezing of quantum correlations within the geometric approach Cianciaruso, Marco Bromley, Thomas R. Roga, Wojciech Lo Franco, Rosario Adesso, Gerardo Article Quantum correlations in a composite system can be measured by resorting to a geometric approach, according to which the distance from the state of the system to a suitable set of classically correlated states is considered. Here we show that all distance functions, which respect natural assumptions of invariance under transposition, convexity, and contractivity under quantum channels, give rise to geometric quantifiers of quantum correlations which exhibit the peculiar freezing phenomenon, i.e., remain constant during the evolution of a paradigmatic class of states of two qubits each independently interacting with a non-dissipative decohering environment. Our results demonstrate from first principles that freezing of geometric quantum correlations is independent of the adopted distance and therefore universal. This finding paves the way to a deeper physical interpretation and future practical exploitation of the phenomenon for noisy quantum technologies. Nature Publishing Group 2015-06-08 /pmc/articles/PMC4650645/ /pubmed/26053239 http://dx.doi.org/10.1038/srep10177 Text en Copyright © 2015, Macmillan Publishers Limited http://creativecommons.org/licenses/by/4.0/ This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/
repository_type	Open Access Journal
institution_category	Foreign Institution
institution	US National Center for Biotechnology Information
building	NCBI PubMed
collection	Online Access
language	English
format	Online
author	Cianciaruso, Marco Bromley, Thomas R. Roga, Wojciech Lo Franco, Rosario Adesso, Gerardo
spellingShingle	Cianciaruso, Marco Bromley, Thomas R. Roga, Wojciech Lo Franco, Rosario Adesso, Gerardo Universal freezing of quantum correlations within the geometric approach
author_facet	Cianciaruso, Marco Bromley, Thomas R. Roga, Wojciech Lo Franco, Rosario Adesso, Gerardo
author_sort	Cianciaruso, Marco
title	Universal freezing of quantum correlations within the geometric approach
title_short	Universal freezing of quantum correlations within the geometric approach
title_full	Universal freezing of quantum correlations within the geometric approach
title_fullStr	Universal freezing of quantum correlations within the geometric approach
title_full_unstemmed	Universal freezing of quantum correlations within the geometric approach
title_sort	universal freezing of quantum correlations within the geometric approach
description	Quantum correlations in a composite system can be measured by resorting to a geometric approach, according to which the distance from the state of the system to a suitable set of classically correlated states is considered. Here we show that all distance functions, which respect natural assumptions of invariance under transposition, convexity, and contractivity under quantum channels, give rise to geometric quantifiers of quantum correlations which exhibit the peculiar freezing phenomenon, i.e., remain constant during the evolution of a paradigmatic class of states of two qubits each independently interacting with a non-dissipative decohering environment. Our results demonstrate from first principles that freezing of geometric quantum correlations is independent of the adopted distance and therefore universal. This finding paves the way to a deeper physical interpretation and future practical exploitation of the phenomenon for noisy quantum technologies.
publisher	Nature Publishing Group
publishDate	2015
url	https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4650645/
_version_	1613503162487930880

Universal freezing of quantum correlations within the geometric approach

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