One of the most fascinating aspects of quantum information research is that it sheds light on the connections between informational and thermodynamic entropy, as well as how time factors into quantum dynamics.

I.e. Schroedinger Equation and Heisenberg picture are equivalent. Although in the former the wave-function changes with time in the latter the operator. Yet, we don’t actually have any experimental insight in when the changes under adiabatic development are actually realized, since by its very nature we only have discrete observations to work with. This opens up room for various speculations such as that the “passage of time” is actually an unphyiscal notion for an isolated quantum system between measurements (i.e. as expressed by Ulrich Mohrhoff in this paper).