Physical limits of integration and information processing in molecular systems

A review of the evolution of electronic information processing from small-scale integration to ultra-large-scale integration and beyond is presented recalling the milestones achieved in the development of electronic hardware. Physical principles which limit the size and performances of electronic circuits and the rate of information processing are discussed. In order to explore the new courses offered by organic molecular materials towards atomic-scale integration, the elementary computational capabilities of molecules are discussed by casting the quantum dynamic equations in the framework of system theory. Bond dynamics in polymeric networks is considered, thus showing the possibility of obtaining molecular probabilistic circuits.