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Higher dimensional entanglement without correlations

  • Waldemar Kłobus
  • Wiesław LaskowskiEmail author
  • Tomasz Paterek
  • Marcin Wieśniak
  • Harald Weinfurter
Open Access
Regular Article
  • 115 Downloads
Part of the following topical collections:
  1. Topical Issue: Quantum Correlations

Abstract

It has been demonstrated both theoretically and experimentally that genuine multipartite entanglement between qubits can exist even in the absence of multipartite correlations. Here, we provide first examples of this effect in higher dimensional systems – qudits. We construct states in which genuine N-partite entanglement between qudits is supported only by correlations involving strictly less than N particles. The construction differs in several aspects from the ones for qubits. The states introduced here are a natural test-bed for candidate quantifiers of genuinely multipartite quantum correlations.

Graphical abstract

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Copyright information

© The Author(s) 2019. This article is published with open access at Springerlink.com 2019

Open AccessThis is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Authors and Affiliations

  • Waldemar Kłobus
    • 1
  • Wiesław Laskowski
    • 1
    Email author
  • Tomasz Paterek
    • 2
    • 3
  • Marcin Wieśniak
    • 4
  • Harald Weinfurter
    • 5
    • 6
  1. 1.Institute of Theoretical Physics and Astrophysics, Faculty of Mathematics, Physics and Informatics, University of Gdańsk80-308 GdańskPoland
  2. 2.School of Physical and Mathematical Sciences, Nanyang Technological UniversitySingaporeSingapore
  3. 3.MajuLab, CNRS-UCA-SU-NUS-NTU International Joint Research Unit, UMI 3654SingaporeSingapore
  4. 4.Institute of Informatics, Faculty of Mathematics, Physics and Informatics, University of GdańskGdańskPoland
  5. 5.Max-Planck-Institut für QuantenoptikGarchingGermany
  6. 6.Department für Physik, Ludwig-Maximilians-UniversitätMünchenGermany

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