Operational Families of Entanglement Classes for Symmetric $N$-Qubit States

Details Operational Families of Entanglement Classes for Symmetric $N$-Qubit States Operational Families of Entanglement Classes for Symmetric $N$-Qubit States

2009-02-18

arxiv.org/abs/0902.3230v3

Physics

Quantum Physics

Published version. Phys. Rev. Lett. 103, 070503 (2009)

Scientific paper

We solve the entanglement classification under stochastic local operations and classical communication (SLOCC) for all multipartite symmetric states in the general $N$-qubit case. For this purpose, we introduce 2 parameters playing a crucial role, namely the \emph{diversity degree} and the \emph{degeneracy configuration} of a symmetric state. Those parameters give rise to a simple method of identifying operational families of SLOCC entanglement classes of all symmetric $N$-qubit states, where the number of families grows as the partition function of the number of qubits.

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