Inequivalence of entanglement, steering, and Bell nonlocality for general measurements

Einstein-Podolsky-Rosen steering is a form of inseparability in quantum theory commonly acknowledged to be intermediate between entanglement and Bell nonlocality. However, this statement has so far only been proven for a restricted class of measurements, namely, projective measurements. Here we prov...

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Bibliographic Details
Authors: Quintino, Marco Tulio, Vértesi, Tamas, Cavalcanti, Daniel, Augusiak, Remigiusz, Demianowicz, Maciej, Acín dal Maschio, Antonio, Brunner, Nicolas
Format: article
Publication Date:2015
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2117/79010
Online Access:https://hdl.handle.net/2117/79010
Access Level:Open access
Keyword:Quantum communication
entanglement
Quàntums, Teoria dels
Àrees temàtiques de la UPC::Física
Description
Summary:Einstein-Podolsky-Rosen steering is a form of inseparability in quantum theory commonly acknowledged to be intermediate between entanglement and Bell nonlocality. However, this statement has so far only been proven for a restricted class of measurements, namely, projective measurements. Here we prove that entanglement, one-way steering, two-way steering, and nonlocality are genuinely different considering general measurements, i.e., single round positive-operator-valued measures. Finally, we show that the use of sequences of measurements is relevant for steering tests, as they can be used to reveal “hidden steering.”