Remember Feynmann diagrams? Every single particle interaction is immensly complex with virtual particles popping in and out of existance. Yes information is preserved, but you never know in what form, what particles emerge from a given particle interaction, at what moment and in what direction. In the double slit experiment* we can see that the position a particle hits the screen is random all be it within the probability of the wave function. Therefor, the universe in non deterministic. The notion of conservation of information is often misinterpreted. The information here is 'quantum information' of individual particles. This information can be transferred but you never know at which moment, to what other particle and in which form.

Take an incoming photon, exciting an atom. Which specific electron jumps to a higher energy level? And at what moment will it jump back and release a new photon? And in which direction will that photon travel? Undetermined. Heisenbergs uncertainty principle prohibits any knowledge about the specifics.

*btw, the infamous 'wave function' is the wave function of the experiment, not of the individual particles, thats the biggest thinking mistake ever made. It's the experiment that determines the wave function and the resulting outcome, not the particles. If the setup of the experiment is not there, there is no 'wave function' - the probability where the particle will hit the screen - either. And when the setup changes, the wave function changes.