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Quantum Information Processing

, Volume 12, Issue 1, pp 269–278 | Cite as

Examining the dimensionality of genuine multipartite entanglement

  • Christoph Spengler
  • Marcus HuberEmail author
  • Andreas Gabriel
  • Beatrix C. Hiesmayr
Article

Abstract

Entanglement in high-dimensional many-body systems plays an increasingly vital role in the foundations and applications of quantum physics. In the present paper, we introduce a theoretical concept which allows to categorize multipartite states by the number of degrees of freedom being entangled. In this regard, we derive computable and experimentally friendly criteria for arbitrary multipartite qudit systems that enable to examine in how many degrees of freedom a mixed state is genuine multipartite entangled.

Keywords

Entanglement measures, witnesses, and other characterizations Algebraic methods Quantum information Foundations of quantum mechanics Formalism 

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Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Christoph Spengler
    • 1
  • Marcus Huber
    • 1
    Email author
  • Andreas Gabriel
    • 1
  • Beatrix C. Hiesmayr
    • 1
  1. 1.Faculty of PhysicsUniversity of ViennaViennaAustria

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