Quantum information as well as classical information is a dimensionless quantity. If it is the overall substance of anything claiming to be physical, one can question how different and dimensional physical quantities appear both originating from it and reducible to it.
Furthermore, quantum information can be considered as a “bridge” between the mathematical and physical. The standard and common scientific epistemology, on the contrary, grants the gap between the mathematical models and physical reality. The conception of truth as adequacy is what is able to transfer over that gap. One should explain how quantum information being a continuous transition between the physical and mathematical may refer to truth as adequacy and thus to the usual cientific epistemology and methodology.

The two fundamental theorems of Emmy Noether (1918) should be involved. They determine the links between what conserve, e.g. energy, and what change, e.g. time, in any physical system. The product of the former and latter has always the physical dimension of action (what the dimension of the fundamental Planck constant is) and thus, it can be interpreted as the physical quantity of action.
If what is changed is physical action, the theorems of Emmy Noether imply that what is conserved should be dimensionless. Quantum information seems to be an admissible applicant for the ounterpart of action

Quantum information is conserved, being the counterpart of the changing action. If the change of action is uniform in time, energy is conserved. However, quantum information is conserved more universally for however the action is changed (i.e. not only uniformly), its counterpart of quantum information is conserved.