We explore the quantum correlation distribution in multipartite quantum
states based on the square of quantum discord (SQD). For tripartite quantum
systems, we derive the necessary and sufficient condition for the SQD to
satisfy the monogamy relation. Particularly, we prove that the SQD is
monogamous for three-qubit pure states, based on which a genuine tripartite
quantum correlation measure is introduced. In addition, we also address the
quantum correlation distributions in four-qubit pure states. As an example, we
investigate multipartite quantum correlations in the dynamical evolution of
multipartite cavity-reservoir systems.Comment: 8 pages, 5 figure
