“…In the last few years, many theoretical and experimental schemes for the generation of multipartite entangled states have been proposed. [
1–10 ] Among these multiparticle entangled states, Dicke states have attracted a lot of attention due to their many advantages, such as entanglement characterization, [
11–14 ] robustness to decoherence, [
15 ] and permutational symmetry, which allows to simplify the task of state tomography. [
16,17 ] Dicke states were first proposed by R. Dicke in 1954 [
18 ] for describing light emission from a cloud of atoms, the m ‐qubit symmetric Dicke states with k excitations are defined as
where the sum is over all permutations with k qubits in the state
and
is permutation operator.…”