[in hoc signo vinces]

Yes there are multiple quantum states, but according to Schrodinger Cat Theory, once you take action you're quantum state has been decided...even if all states exist at the same time, relative to that decision.

Thus the cat eats the mouse...it tastes good. For that cat the mouse was good, it's history is that the mouse was good tasting. Now for a Cat in a different quantum state where the mouse was bad...his history is the mouse tasted bad.

So relative to the individual, regardless of multiple states, an exact history for that individual can be defined.

[Moral Hazard]

But when you observe the state of a particle, you're only fixing it for that point in time. You aren't determining that history of the particle, but you can determine the probability of it having been in various states in the past based on your current observations.

[tnlibertarian]

Either way, the mouse is history.