quantum reactivity, quantum discord and concurrence

Quantum correlation is a key resource for quantum computation. it is recognized that a scalable measure for quantum correlation is essential for the field of quantum information processing. we pro- pose a new measure of correlation for a quantum network based on the geometry of the space of measurements. we use an information distance measure based on the probability distribution of binary out- comes of repeated measurements, and by generalizing these distances to areas and volumes, we can calculate the curvature of space of mea- surements. we call this curvature reactivity. our curvature measure is a monotonic function for correlation and is an indicator of the degree of correlation in the quantum network. this novel approach enables us to capture a degree of correlation of quantum system, and with well- chosen measurements, could provide a scalable measure for identifying entanglement resources for higher dimensional qudit networks.