Operational Families of Entanglement Classes for Symmetric N -Qubit States

Thierry Bastin, Stéphanie Krins, Pierre Mathonet, Michel Godefroid, Lucas Lamata, E. Solano · Physical Review Letters · 2009

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.

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