  Quantum discord and quantum uncertainty are two important features of the
quantum world. In this work, the relation between entropic uncertainty relation
and the shareability of quantum discord is studied. First, by using tripartite
quantum-memory-assisted entropic uncertainty relation, an upper bound for the
shareability of quantum discord among different partites of a composite system
is obtained. It is also shown that, for a specific class of tripartite states,
the obtained relation could be expressed as monogamy of quantum discord.
Moreover, it is illustrated that the relation could be generalized and an upper
bound for the shareability of quantum discord for multipartite states is
derived.
