Monogamous nature of Dicke-class of states with two distinct Majorana spinors

We have examined the monogamous nature of the Dicke-class of states, the $N$-qubit pure symmetric states with two distinct spinors. The Majorana representation of all SLOCC inequivalent families of states belonging to Dicke-class is made use of, to evaluate the concurrence tangle and negativity tangle. In each SLOCC family, the Dicke states--characterized by two orthogonal spinors, are found to have larger tangle compared to their companion states with two non-orthogonal spinors belonging to the same family. For any fixed N, it is shown that the states with equal distribution of the two spinors have larger tangle when compared to other inequivalent classes with different degeneracy configurations. This is quite in conformity with the fact that the pairwise entanglement of symmetric multiqubit states with two distinct spinors is maximum when there is equal distribution of two spinors.

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