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We find that a bipartite quantum state is entangled if and only if it isquantum coherent with respect to complete bases of states in the correspondingsystem that are distinguishable under local quantum operations and classicalcommunication. The corresponding minimal quantum coherence is the entanglementof formation. Connections to the relative entropy of entanglement and quantumcoherence, and generalizations to the multiparty case are also considered.

All entangled states are quantum coherent with locally distinguishable bases