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

Kampermann, H., Gühne, O., Wilmott, C. and Bruß, D., 2012. Algorithm for characterizing stochastic local operations and classical communication classes of multiparticle entanglement. Physical Review A, 86 (3). ISSN 1050-2947

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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 [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.

Item Type: Journal article
Alternative Title: An algorithm for characterizing SLOCC classes of multiparticle entanglement
Publication Title: Physical Review A
Creators: Kampermann, H., Gühne, O., Wilmott, C. and Bruß, D.
Publisher: American Physical Society
Date: 2012
Volume: 86
Number: 3
ISSN: 1050-2947
Identifiers:
NumberType
10.1103/PhysRevA.86.032307DOI
Rights: © 2012 American Physical Society
Divisions: Schools > School of Science and Technology
Depositing User: EPrints Services
Date Added: 09 Oct 2015 10:20
Last Modified: 23 Aug 2016 09:09
URI: http://irep.ntu.ac.uk/id/eprint/11497

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