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Entanglement equivalence of N-qubit symmetric states

Mon, 2011-02-14 20:09 - Daniel Rudolph
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Date: 
2010-05-14
Author(s): 

P. Mathonet, S. Krins, M. Godefroid, L. Lamata, E. Solano, and T. Bastin

Reference: 

Phys. Rev. A 81, 052315 (2010)

URL: 

http://link.aps.org/doi/10.1103/PhysRevA.81.052315

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.