Given a sufficiently powerful computer and model, can dice rolls be predicted? I guess that this is a chaos, randomness and modelling question.  Can it be conceived that a sufficiently powerful (perhaps quantum) computer might be able to accurately predict the scores on a physical die tossed from a cup?

I understand that dice land the way they do because of highly complex and chaotic interactions between the die and whatever it hits.  There is a concept of total physical modelling (that I don't know the technical term for) that aims to model a real item on an atomic level. This would require great computational power and storage.

Is such modelling possible, or are there fundamental (perhaps quantum) nuances that will always prevent this? They say the weather is chaotic and unpredictable, yet the Met Office now says that today's three day forecasts are as accurate as yesteryear's daily forecasts. Advances seem to be possible...
I believe it could be predicted assuming technological limits of sensors and computation were overcome. A die is too large for quantum effects and a simple enough system.

Related paper