  Criteria of measure quantifying quantum coherence, a unique property of
quantum system, are proposed recently. In this paper, we first give an
uncertainty-like expression relating the coherence and the entropy of quantum
system. This finding allows us to discuss the relations between the
entanglement and the coherence. Further, we discuss in detail the relations
among the coherence, the discord and the deficit in the bipartite quantum
system. We show that, the one-way quantum deficit is equal to the sum between
quantum discord and the relative entropy of coherence of measured subsystem.
