Operational families of entanglement classes for symmetric N-qubit States

Phys Rev Lett. 2009 Aug 14;103(7):070503. doi: 10.1103/PhysRevLett.103.070503. Epub 2009 Aug 13.

Abstract

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 diversity degree and the 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.