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The standard quantum coherence theory is defined with respect to anorthonormal basis of a Hilbert space. Recently, Bischof, Kampermann and Bru%\ss\ generalized the notion of coherence into the case of general measurements,and also, they established a rigorous resource theory of coherence with respectto general measurements. In this paper, we propose such a coherence measurewith respect to general measurements via quantum Fisher information, andprovide an application of this measure.

Quantifying coherence with respect to general measurements via quantum Fisher information