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Geometrically induced singular behavior of entanglement

Cavalcanti, D. and Saldanha, P. L. and Cosme, O. and Brandão, F. G. S. L. and Monken, C. H. and Pádua, S. and França Santos, M. and Terra Cunha, M. O. (2008) Geometrically induced singular behavior of entanglement. Physical Review A, 78 (1). Art. No. 012318. ISSN 1050-2947. https://resolver.caltech.edu/CaltechAUTHORS:20160524-104623826

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Abstract

We show that the geometry of the set of quantum states plays a crucial role in the behavior of entanglement in different physical systems. More specifically, it is shown that singular points at the border of the set of unentangled states originate singularities in the dynamics of entanglement of smoothly varying quantum states. We illustrate this result by implementing a photonic parametric down-conversion experiment. Moreover, this effect is connected to recently discovered singularities in condensed matter models.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1103/PhysRevA.78.012318DOIArticle
http://journals.aps.org/pra/abstract/10.1103/PhysRevA.78.012318PublisherArticle
https://arxiv.org/abs/0709.0301arXivDiscussion Paper
ORCID:
AuthorORCID
Brandão, F. G. S. L.0000-0003-3866-9378
Additional Information:© 2008 American Physical Society. Received 31 August 2007; published 10 July 2008. We acknowledge discussions with A. Acín, A. Sen(De), J. Wehr, E. Rico, G. Palacios, V. Vedral, and J. Dunningham and funding from CNPq, Fapemig, PRPq-UFMG, and the Brazilian Millenium Institute for Quantum Information.
Funders:
Funding AgencyGrant Number
Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)UNSPECIFIED
Fundaçã de Amparo a Pesquisa de Minas Gerais (FAPEMIG)UNSPECIFIED
PRPq-UFMGUNSPECIFIED
Brazilian Millenium Institute for Quantum InformationUNSPECIFIED
Issue or Number:1
Classification Code:PACS: 03.67.Mn, 02.40.Pc, 03.65.Ud
Record Number:CaltechAUTHORS:20160524-104623826
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20160524-104623826
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:67302
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:24 May 2016 18:31
Last Modified:03 Oct 2019 10:04

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