  We study the relations between quantum coherence and quantum nonlocality,
genuine quantum entanglement and genuine quantum nonlocality. We show that the
coherence of a qubit state can be converted to the nonlocality of two-qubit
states via incoherent operations. The results are also generalized to qudit
case. Furthermore, rigorous relations between the quantum coherence of a
single-partite state and the genuine multipartite quantum entanglement, as well
as the genuine three-qubit quantum nonlocality are established.
