Entanglement without hidden nonlocality

We consider Bell tests in which the distant observers can perform local filtering before testing a Bell inequality. Notably, in this setup, certain entangled states admitting a local hidden variable model in the standard Bell scenario can nevertheless violate a Bell inequality after filtering, displ...

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Main Authors: Flavien Hirsch, Marco Túlio Quintino, Joseph Bowles, Tamás Vértesi, Nicolas Brunner
Format: Article
Language:English
Published: IOP Publishing 2016-01-01
Series:New Journal of Physics
Subjects:
Online Access:https://doi.org/10.1088/1367-2630/18/11/113019
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author Flavien Hirsch
Marco Túlio Quintino
Joseph Bowles
Tamás Vértesi
Nicolas Brunner
author_facet Flavien Hirsch
Marco Túlio Quintino
Joseph Bowles
Tamás Vértesi
Nicolas Brunner
author_sort Flavien Hirsch
collection DOAJ
description We consider Bell tests in which the distant observers can perform local filtering before testing a Bell inequality. Notably, in this setup, certain entangled states admitting a local hidden variable model in the standard Bell scenario can nevertheless violate a Bell inequality after filtering, displaying so-called hidden nonlocality. Here we ask whether all entangled states can violate a Bell inequality after well-chosen local filtering. We answer this question in the negative by showing that there exist entangled states without hidden nonlocality. Specifically, we prove that some two-qubit Werner states still admit a local hidden variable model after any possible local filtering on a single copy of the state.
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spelling doaj.art-c13f9bd6ba9d435681f5dacf8e763d042023-08-08T14:36:15ZengIOP PublishingNew Journal of Physics1367-26302016-01-01181111301910.1088/1367-2630/18/11/113019Entanglement without hidden nonlocalityFlavien Hirsch0Marco Túlio Quintino1Joseph Bowles2Tamás Vértesi3Nicolas Brunner4Département de Physique Théorique, Université de Genève , 1211 Genève, SwitzerlandDépartement de Physique Théorique, Université de Genève , 1211 Genève, SwitzerlandDépartement de Physique Théorique, Université de Genève , 1211 Genève, SwitzerlandInstitute for Nuclear Research, Hungarian Academy of Sciences, H-4001 Debrecen, PO Box 51, HungaryDépartement de Physique Théorique, Université de Genève , 1211 Genève, SwitzerlandWe consider Bell tests in which the distant observers can perform local filtering before testing a Bell inequality. Notably, in this setup, certain entangled states admitting a local hidden variable model in the standard Bell scenario can nevertheless violate a Bell inequality after filtering, displaying so-called hidden nonlocality. Here we ask whether all entangled states can violate a Bell inequality after well-chosen local filtering. We answer this question in the negative by showing that there exist entangled states without hidden nonlocality. Specifically, we prove that some two-qubit Werner states still admit a local hidden variable model after any possible local filtering on a single copy of the state.https://doi.org/10.1088/1367-2630/18/11/113019Bell nonlocalityhidden nonlocalityentanglementlocal hidden variable modellocal hidden state model
spellingShingle Flavien Hirsch
Marco Túlio Quintino
Joseph Bowles
Tamás Vértesi
Nicolas Brunner
Entanglement without hidden nonlocality
New Journal of Physics
Bell nonlocality
hidden nonlocality
entanglement
local hidden variable model
local hidden state model
title Entanglement without hidden nonlocality
title_full Entanglement without hidden nonlocality
title_fullStr Entanglement without hidden nonlocality
title_full_unstemmed Entanglement without hidden nonlocality
title_short Entanglement without hidden nonlocality
title_sort entanglement without hidden nonlocality
topic Bell nonlocality
hidden nonlocality
entanglement
local hidden variable model
local hidden state model
url https://doi.org/10.1088/1367-2630/18/11/113019
work_keys_str_mv AT flavienhirsch entanglementwithouthiddennonlocality
AT marcotulioquintino entanglementwithouthiddennonlocality
AT josephbowles entanglementwithouthiddennonlocality
AT tamasvertesi entanglementwithouthiddennonlocality
AT nicolasbrunner entanglementwithouthiddennonlocality