An algorithm for characterizing SLOCC classes of multiparticle entanglement

Details An algorithm for characterizing SLOCC classes of multiparticle entanglement An algorithm for characterizing SLOCC classes of multiparticle entanglement

2012-03-27

arxiv.org/abs/1203.5872v1

Physics

Quantum Physics

10 pages, 4 figures

Scientific paper

It is well known that the classification of pure multiparticle entangled states according to stochastic local operations leads to a natural classification of mixed states in terms of convex sets. We present a simple algorithmic procedure to prove that a quantum state lies within a given convex set. Our algorithm generalizes a recent algorithm for proving separability of quantum states [J. Barreiro {\it et al.}, Nature Phys. {\bf 6}, 943 (2010)]. We give several examples which show the wide applicability of our approach. We also propose a procedure to determine a vicinity of a given quantum state which still belongs to the considered convex set.

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