Classification of multipartite systems featuring only| W\ and {GHz}genuine entangled states

Frédéric Holweck, Péter Lévay

Research output: Contribution to journalArticle

6 Citations (Scopus)


We present several multipartite quantum systems featuring the same type of genuine (tripartite) entanglement. Based on a geometric interpretation of the so-called |W〉 and |GHZ〉 states we show that the classification of all multipartite systems featuring those and only those two classes of genuine entanglement can be deduced from earlier work of algebraic geometers. In this paper, non-entangled pure states are identified with the highest weight orbit of the SLOCC group acting on the corresponding Hilbert space.

Original languageEnglish
Article number085201
JournalJournal of Physics A: Mathematical and Theoretical
Issue number8
Publication statusPublished - Jan 18 2016


  • auxiliary algebraic varieties
  • entanglement classification
  • projective geometry
  • simple Lie algebras

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)

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