PPT Entangled Symmetric States

  • Jordi Tura i Brugués
Part of the Springer Theses book series (Springer Theses)


Characterization of entanglement in composite quantum systems is a difficult task. Already in the bipartite case, it was proven to be NP-hard [Gur03] (Gurvits, Proceedings of the Thirty-fifth Annual ACM Symposium on Theory of Computing, STOC ’03, 2003). However, as we have already seen in Sect.  2.1.2, there exist several criteria which give sufficient conditions to certify that a state is entangled, of which the most celebrated one is the Positive under Partial Transposition (PPT) criterion. Nevertheless, the characterization of states which are both PPT and entangled remains elusive.


Entangle State Symmetric Space Separable State Schmidt Number Edge State 
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© Springer International Publishing AG 2017

Authors and Affiliations

  • Jordi Tura i Brugués
    • 1
  1. 1.ICFO-Institut de Ciències Fotòniques, The Barcelona Institute of Science and TechnologyCastelldefels (Barcelona)Spain

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