%0 Journal Article
%J Journal of Physics A: Mathematical and Theoretical
%D 2015
%T Relaxations of separability in multipartite systems: Semidefinite programs, witnesses and volumes
%A Lancien, Cécilia
%A Gühne, Otfried
%A Sengupta, Ritabrata
%A Huber, Marcus
%B Journal of Physics A: Mathematical and Theoretical
%V 48
%P 505302
%G eng
%U http://stacks.iop.org/1751-8121/48/i=50/a=505302?key=crossref.2e93a28de5494676a0b866fa95ccebfd
%R 10.1088/1751-8113/48/50/505302
%0 Journal Article
%J Physical Review Letters
%D 2014
%T Witnessing Genuine Multipartite Entanglement with Positive Maps
%A Huber, Marcus
%A Sengupta, Ritabrata
%X We derive a general framework that connects every positive map with a corresponding witness for partial separability in multipartite quantum systems. We show that many previous approaches were intimately connected to the witnesses derived from partial transposition and that such criteria can easily be outperformed in higher dimensions by non-decomposable maps. As an exemplary case we present a witness that is capable of detecting genuine multipartite entanglement in bound entangled states.
%B Physical Review Letters
%V 113
%8 9/2014
%N 10
%! Phys. Rev. Lett.
%R 10.1103/PhysRevLett.113.100501