Journal
PHYSICAL REVIEW A
Volume 81, Issue 5, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevA.81.052315
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Funding
- University of Luxembourg [F1R-MTH-PUL-09MRDO]
- Alexander von Humboldt Foundation
- UPV/EHU [GIU07/40]
- Ministerio de Ciencia e Innovacion [FIS2009-12773-C02-01]
- EuroSQIP
- SOLID
- Belgian FRS-FNRS
- Communaute francaise de Belgique (Action de Recherche Concertee)
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We study the interconversion of multipartite symmetric N-qubit states under stochastic local operations and classical communication (SLOCC). We demonstrate that if two symmetric states can be connected with a nonsymmetric invertible local operation (ILO), then they belong necessarily to the separable, W, or Greenberger-Horne-Zeilinger (GHZ) entanglement class, establishing a practical method of discriminating subsets of entanglement classes. Furthermore, we prove that there always exists a symmetric ILO connecting any pair of symmetric N-qubit states equivalent under SLOCC, simplifying the requirements for experimental implementations of local interconversion of those states.
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