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

作者：Kampermann Hermann^*; Guehne Otfried; Wilmott Colin; Bruss Dagmar

来源：Physical Review A, 2012, 86(3): 032307.

DOI：10.1103/PhysRevA.86.032307

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 [Barreiro et al., Nat. 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.

• 出版日期2012-9-7