[en] 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.
Disciplines :
Physics
Author, co-author :
Mathonet, Pierre ; Université de Liège - ULiège > Département de mathématique > Département de mathématique
Krins, Stéphanie ; Université de Liège - ULiège > Département de physique > Physique des atomes froids
Godefroid, M.
Lamata, L.
Solano, E.
Bastin, Thierry ; Université de Liège - ULiège > Département de physique > Physique des atomes froids
Language :
English
Title :
Entanglement equivalence of N-qubit symmetric states
Publication date :
2010
Journal title :
Physical Review. A, Atomic, molecular, and optical physics
ISSN :
1050-2947
eISSN :
1094-1622
Publisher :
American Physical Society, College Park, United States - Maryland
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