Entanglement witnesses and characterizing entanglement properties of some PPT states

  • M. A. JafarizadehEmail author
  • N. Behzadi
  • Y. Akbari
Quantum Information


On the basis of linear programming, new sets of entanglement witnesses (EWs) for 3⊗3 and 4⊗4 systems are constructed. In both cases, the constructed EWs correspond to the hyper-planes contacting, without intersecting, the related feasible regions at line segments and restricted planes respectively. Due to the special property of the contacting area between the hyper-planes and the feasible regions, the corresponding hyper-planes can be turned around the contacting area throughout a bounded interval and hence create an infinite number of EWs. As these EWs are able to detect entanglement of some PPT states, they are non-decomposable (nd-EWs).


03.67.Mn Entanglement measures, witnesses, and other characterizations 03.65.Ud Entanglement and quantum nonlocality 


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Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Department of Theoretical Physics and AstrophysicsTabriz UniversityTabrizIran
  2. 2.Institute for Studies in Theoretical Physics and MathematicsTehranIran
  3. 3.Research Institute for Fundamental SciencesTabrizIran
  4. 4.Department of PhysicsAzarbaijan University of Tarbiat MoallemTabrizIran

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