OK, not strictly “conserved”, except that I understand quantum mechanics requires that the information in the universe must be conserved. But what I meant is that if you download a file to a different medium and then delete the original, the information is still the same although the descriptions at quark level are utterly different. Thus there is a sense in which a quark level description of reality fails to capture an important fact about it (the identity of the two files in information terms).
I don’t think this has anything to do with dualism in the Cartesian sense, it’s just an example of my general preference for not taking metaphysical positions without reference to the context. I’m afraid I don’t know the label for that!
As a theory exclusively of the mind, I can see that emergentism has implications like property dualism, but not as a theory that treats the brain just as a very complex system with similar issues to other complex systems.