A previously established information theoretic approach for dynamical hierarchies is hereby revisited for the case when a higher hierarchical level, which is observable in the realm of classical physics, arises from quantum dynamics. The focus of the paper is on the description of information transfer from quantum to classical level. As an example of complex functionality emerging at a higher level from quantum dynamics in a biological system, a case study of coherent spin dynamics, which is hypothesised to be one of the mechanisms of avian magnetoreception, is presented within such an approach. The findings may be useful for better understanding of the phenomena emergent from quantum processes which occur in biological complex systems. Moreover, the lessons learned may provide valuable knowledge for nature-inspired engineering in a bottom-up fashion within the field of nanotechnology.

Previously, Evolution-In-Materio (EIM), an unconventional computing paradigm, was addressed as a computing system which exhibits dynamical hierarchies. For different conceptual domains identified within an EIM system, a corresponding hierarchical level was defined and the state space description provided. Entropic relations established between such system descriptions show that one hyperdescribes another in an information theoretical sense. Hereby we report on those findings and revisit entropic relations between the level of material physics and the level of measurements via simulations of the addressed physical phenomenon.