English

Algorithm for characterizing stochastic local operations and classical communication classes of multiparticle entanglement

Quantum Physics 2012-09-11 v2

Abstract

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 et al., Nature Phys. 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.

Keywords

Cite

@article{arxiv.1203.5872,
  title  = {Algorithm for characterizing stochastic local operations and classical communication classes of multiparticle entanglement},
  author = {Hermann Kampermann and Otfried Gühne and Colin Wilmott and Dagmar Bruß},
  journal= {arXiv preprint arXiv:1203.5872},
  year   = {2012}
}

Comments

10 pages, 4 figures

R2 v1 2026-06-21T20:40:21.456Z