This is how FPS games conserve memory, right? Just saying...
When you use Classic Mechanics, you only need to "simulate" one trajectory.
With Quantum Mechanics the system may have a few choices, and you must keep the details of all the possibilities. The easy case is a qbit that only has two choices. But if you have a few qbits nearby, they may interact and now you must "simulate" the 2^n possibilities. This is why if we can ever build a quantum computer, it would be exponentially more powerful than a classic computer.