Abstract
In this paper, we investigate steering, Bell nonlocality and nonlocal advantage of quantum coherence for entangled pure states. We find that there are nonlocal states which cannot achieve a nonlocal advantage of quantum coherence. In addition, we explore the effect of local noise for achieving nonlocal advantage of quantum coherence. It shows that, with the increase in noise parameter, it is difficult to achieve nonlocal advantage of quantum coherence and when the noise parameter is beyond a certain value, nonlocal advantage of quantum coherence cannot be achieved. Compared with steering and Bell nonlocality, the effect of local noise for achieving nonlocal advantage of quantum coherence is dominated.
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