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

Abstract

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.”

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Authors (7)

  • Photo of  Marco Quintino

    Marco Quintino

    • Universite de Geneve
  • Photo of  Tamás Vértesi

    Tamás Vértesi

    • Universite de Geneve
  • Photo of  Daniel Cavalcanti

    Daniel Cavalcanti

    • ICFO
  • Photo of  Remigiusz Augusiak

    Remigiusz Augusiak

    • CFT
  • Photo of dr hab. inż. Maciej Demianowicz

    Maciej Demianowicz dr hab. inż.

    • Mediterranean Technology Park
  • Photo of  Antonio Acín

    Antonio Acín

    • Mediterranean Technology Park
  • Photo of  Nicolas Brunner

    Nicolas Brunner

    • Universite de Geneve

Cite as

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Publication version
Accepted or Published Version
DOI:
Digital Object Identifier (open in new tab) 10.1103/PhysRevA.92.032107
License
Copyright (2015 American Physical Society)

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Details

Category:
Articles
Type:
artykuł w czasopiśmie wyróżnionym w JCR
Published in:
PHYSICAL REVIEW A no. 92, pages 1 - 6,
ISSN: 2469-9926
Language:
English
Publication year:
2015
Bibliographic description:
Quintino M., Vértesi T., Cavalcanti D., Augusiak R., Demianowicz M., Acín A., Brunner N.: Inequivalence of entanglement, steering, and Bell nonlocality for general measurements// PHYSICAL REVIEW A. -Vol. 92, (2015), s.1-6
DOI:
Digital Object Identifier (open in new tab) 10.1103/physreva.92.032107
Verified by:
Gdańsk University of Technology

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