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Progress towards a unified approach to entanglement distribution

Abstract

Entanglement distribution is key to the success of secure communication schemes based on quantum mechanics, and there is a strong need for an ultimate architecture able to overcome the limitations of recent proposals such as those based on entanglement percolation or quantum repeaters. In this work we provide a broad theoretical background for the development of such technologies. In particular, we investigate the question of whether entanglement distribution is more efficient if some amount of entanglement—or some amount of correlations in general—is available prior to the transmission stage of the protocol. We show that in the presence of noise the answer to this question strongly depends on the type of noise and on the way the entanglement is quantified. On the one hand, subadditive entanglement measures do not show an advantage of preshared correlations if entanglement is established via combinations of single-qubit Pauli channels. On the other hand, based on the superadditivity conjecture of distillable entanglement, we provide evidence that this phenomenon occurs for this measure. These results strongly suggest that sending one half of some pure entangled state down a noisy channel is the best strategy for any subadditive entanglement quantifier, thus paving the way to a unified approach for entanglement distribution which does not depend on the nature of noise. We also provide general bounds for entanglement distribution involving quantum discord and present a counterintuitive phenomenon of the advantage of arbitrarily little entangled states over maximally entangled ones, which may also occur for quantum channels relevant in experiments.

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Authors (4)

  • Photo of dr Alexander Streltsov

    Alexander Streltsov dr

    • ICFO–Institut de Ciències Fotòniques
  • Photo of  Remigiusz Augusiak

    Remigiusz Augusiak

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

    Maciej Demianowicz dr hab. inż.

    • ICFO–Institut de Ciències Fotòniques
  • Photo of  Maciej Lewenstein

    Maciej Lewenstein

    • ICFO

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Accepted or Published Version
DOI:
Digital Object Identifier (open in new tab) 10.1103/PhysRevA.92.012335
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:
Streltsov A., Augusiak R., Demianowicz M., Lewenstein M.: Progress towards a unified approach to entanglement distribution// PHYSICAL REVIEW A. -Vol. 92, (2015), s.1-6
DOI:
Digital Object Identifier (open in new tab) 10.1103/physreva.92.012335
Verified by:
Gdańsk University of Technology

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