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Quantum coherence and quantum correlations lie in the center of quantuminformation science, since they both are considered as fundamental reasons forsignificant features of quantum mechanics different from classical mechanics.We present a group of complementary relations for quantum coherence and quantumcorrelations; specifically, we focus on thermal discord and conditionalinformation in scenarios of multiple measurements. We show that the summationof quantum coherence quantified in different bases has a lower bound, resultingfrom entropic uncertainty relations with multiple measurements. Similar resultsare also obtained for thermal discord and for post-measurement conditionalinformation with multiple measurements in a multipartite system. These resultsindicate the general applications of the uncertainty principle to variousconcepts of quantum information.

Complementary relation of quantum coherence and quantum correlations in multiple measurements