  A complementarity relation is established between the capacity of multiport
classical information transmission via quantum states and multiparty quantum
correlation measures for three-qubit pure states. The multiparty quantum
correlation measures considered are the generalized geometric measure, the
tangle, and the discord monogamy score. The complementarity relation is
revealed by the identification of a one-parameter family of pure three-qubit
states, which we call the maximally dense coding capable family of states.
These states have the maximal multiport dense coding capacity among all
three-qubit pure states with an arbitrary fixed amount of the multiparty
quantum correlations.
