Characterizing Coherence with Dynamical Entanglement

Quantum coherence and entanglement are two basic aspects of nonclassicality. With the specific bipartite quantum systems which entanglement and coherence can be calculated, we provide a quantitative connection between the coherence and the dynamical entanglement that be created with the help of incoherent operations. We show that the coherence upper bounds the dynamical entanglement, and in particular conditions of the initial quantum states, the coherence of a single-party is equal to the dynamical entanglement. We extend these results to multipartite quantum systems.