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The $N$-qubit Dicke states $|D^N_k\rangle$, of Hamming-weight $k$, are aclass of entangled states which play an important role in quantum algorithmoptimization. We present a general calculation of entanglement entropy in Dickestates, which we use to describe the $|D^N_k\rangle$ entropy cone. Wedemonstrate that all $|D^N_k\rangle$ entropy vectors emerge symmetrized, anduse this to define a min-cut protocol on star graphs which realizes$|D^N_k\rangle$ entropy vectors. We identify the stabilizer group for all$|D^N_k\rangle$, under the action of the $N$-qubit Pauli group and two-qubitClifford group, which we use to construct $|D^N_k\rangle$ reachability graphs.We use these reachability graphs to analyze and bound the evolution of$|D^N_k\rangle$ entropy vectors in Clifford circuits.

Entropy Cones and Entanglement Evolution for Dicke States