  Quantitative analysis of inherent quantum properties using quantum resource
theories reveals fundamental limitations and advantages of large-scale quantum
information processing in various tasks. However, a conventional way of
resource quantification by resource measures may contradict rates of asymptotic
transformation between resourceful quantum states on a large scale due to an
approximation in the transformation. In this paper, we investigate consistent
resource measures, which quantify resources without contradicting the rates of
the asymptotic resource transformation. We prove that relative entropic
measures are consistent with the rates for a broad class of resources, i.e.,
all convex finite-dimensional resources, e.g., entanglement, coherence, and
magic, and even some non-convex or infinite-dimensional resources such as
quantum discord, non-Markovianity, and non-Gaussianity. These results show that
consistent resource measures are widely applicable to the quantitative analysis
of large-scale quantum information processing using various quantum resources.
