IDEAS home Printed from https://ideas.repec.org/a/nat/natcom/v4y2013i1d10.1038_ncomms3263.html
   My bibliography  Save this article

Local orthogonality as a multipartite principle for quantum correlations

Author

Listed:
  • T. Fritz

    (ICFO—Institut de Ciencies Fotoniques
    Perimeter Institute for Theoretical Physics)

  • A.B. Sainz

    (ICFO—Institut de Ciencies Fotoniques)

  • R. Augusiak

    (ICFO—Institut de Ciencies Fotoniques)

  • J Bohr Brask

    (ICFO—Institut de Ciencies Fotoniques)

  • R. Chaves

    (ICFO—Institut de Ciencies Fotoniques
    Institute for Physics, University of Freiburg)

  • A. Leverrier

    (ICFO—Institut de Ciencies Fotoniques
    Institute for Theoretical Physics, ETH Zürich, Zürich 8093, Switzerland
    INRIA Rocquencourt, Domaine de Voluceau)

  • A. Acín

    (ICFO—Institut de Ciencies Fotoniques
    ICREA—Institucio Catalana de Recerca i Estudis Avançats)

Abstract

In recent years, the use of information principles to understand quantum correlations has been very successful. Unfortunately, all principles considered so far have a bipartite formulation, but intrinsically multipartite principles, yet to be discovered, are necessary for reproducing quantum correlations. Here we introduce local orthogonality, an intrinsically multipartite principle stating that events involving different outcomes of the same local measurement must be exclusive or orthogonal. We prove that it is equivalent to no-signalling in the bipartite scenario but more restrictive for more than two parties. By exploiting this non-equivalence, it is then demonstrated that some bipartite supra-quantum correlations do violate the local orthogonality when distributed among several parties. Finally, we show how its multipartite character allows revealing the non-quantumness of correlations for which any bipartite principle fails. We believe that local orthogonality is a crucial ingredient for understanding no-signalling and quantum correlations.

Suggested Citation

  • T. Fritz & A.B. Sainz & R. Augusiak & J Bohr Brask & R. Chaves & A. Leverrier & A. Acín, 2013. "Local orthogonality as a multipartite principle for quantum correlations," Nature Communications, Nature, vol. 4(1), pages 1-7, October.
    • Handle: RePEc:nat:natcom:v:4:y:2013:i:1:d:10.1038_ncomms3263
    DOI: 10.1038/ncomms3263
    as

    Download full text from publisher

    File URL: https://www.nature.com/articles/ncomms3263
    File Function: Abstract
    Download Restriction: no
    File URL: https://libkey.io/10.1038/ncomms3263?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:nat:natcom:v:4:y:2013:i:1:d:10.1038_ncomms3263. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.nature.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.