Abstract
Since quantum coherence is viewed as a valuable resource for quantum information processing, its quantification and application has long been a topic of concern. And in framework of a resource theory of quantum coherence, quantum coherence is a basis-dependent quantity. Accordingly, when a basis is selected ahead of time, a natural question is raised: not all one-qubit systems can evolve to the maximally coherent state, so what determines the coherence of a system can evolve to the maximum? Base on the parameters of Hamiltonian we propose a criterion by which one can easily judge whether the coherence of one-qubit system can evolve to the maximum. Moreover, we show commutation relation between the operators for observation corresponding to pre-selected basis and Hamiltonian can be used to judge whether coherence of one-qubit system can evolve to the maximum.
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