Xueyuan Hu

We establish an operational connection between coherence and quantum correlation. When a bipartite state is shared between Alice and Bob, Alice's local selective measurement can induce coherence on Bob's site as long as they are initially quantum correlated, and the maximum coherence she can extract on average can not surpass the initially shared quantum correlation measured by B-side measurement-induced disturbance. Steering-induced coherence (SIC) is introduced to characterize Alice's ability to extract Bob's coherence. For maximally correlated states, the steering-induced coherence is proved to reach the B-side measurement-induced disturbance. When generalized to tripartite scenario, where Bob and Charlie initially share a product state and restricted to use incoherent operations, Alice's local selective measurement can induce the entanglement between Bob and Charlie, and the induced entanglement on average is also bounded from above by the quantum correlation between Alice and Bob. Our results are helful in the study of quantum information protocols such as secret sharing where coherence is a precious resource. Further, since the coherence of a single party is normally robust than bipartite correlations, our results provide a way to ``store'' the quantum correlation as coherence.