Entanglement Equivalence of $N$-qubit Symmetric States

Details Entanglement Equivalence of $N$-qubit Symmetric States Entanglement Equivalence of $N$-qubit Symmetric States

2009-08-06

arxiv.org/abs/0908.0886v2

Phys. Rev. A 81, 052315 (2010)

Physics

Quantum Physics

Minor corrections

Scientific paper

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 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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