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The uncertainty principle sets a bound on our ability to predict themeasurement outcomes of two incompatible observables which are measured on aquantum particle simultaneously. In quantum information theory, the uncertaintyprinciple can be formulated in terms of the Shannon entropy. Entropicuncertainty bound can be improved by adding a particle which correlates withthe measured particle. The added particle acts as a quantum memory. In thiswork, a method is provided for obtaining the entropic uncertainty relations inthe presence of a quantum memory by using quantum coherence. In the method,firstly, one can use the quantum relative entropy of quantum coherence toobtain the uncertainty relations. Secondly, these relations are applied toobtain the entropic uncertainty relations in the presence of a quantum memory.In comparison with other methods this approach is much simpler. Also, for agiven state, the upper bounds on the sum of the relative entropies ofunilateral coherences are provided, and it is shown which one is tighter. Inaddition, using the upper bound obtained for unilateral coherence, thenontrivial upper bound on the sum of the entropies for different observables isderived in the presence of a quantum memory.

Lower and upper bounds for unilateral coherence and applying them to the entropic uncertainty relations