Information theory has a general rule:
Whenever you take a finite bandwidth channel and poke it into an infinite bandwidth channel, you'll get either aliasing or interference depending on whether you look at the communicated information in a space-like or a time-like manner.
If you look at the information in a space-like manner, you will have to accept the notion of non-locality (and aliasing). If you look at the information in a time-like manner, you will have to accept the notion of wavefunctions and wavefunction collapse (and interference).
Aliasing or interference are manifested under non-locality or wavefunction collapse, respectively. The general notion underlying these phenomena is an overlap of states or non-orthogonality.
It is no wonder then that when we take a space-time-like view of the information that we run into trouble integrating QM with Relativity since in this case we should observe both, something like aliasing and something like interference, together.
This is the next conceptual hurdle. How do we represent this ?