  We define two ways of quantifying the quantum correlations based on quantum
Fisher information (QFI) in order to study the quantum correlations as a
resource in quantum metrology. By investigating the hierarchy of
measurement-induced Fisher information introduced in Lu et al. [X. M. Lu, S.
Luo, and C. H. Oh, Phys Rev. A 86, 022342 (2012)], we show that the presence of
quantum correlation can be confirmed by the difference of the Fisher
information induced by the measurements of two hierarchies. In particular, the
quantitative quantum correlations based on QFI coincide with the geometric
discord for pure quantum states.
