My interpretation is slightly different. Classical computers are slow because they need to simulate the collapse of a wave-function using probabilities with som

My interpretation is slightly different. Classical computers are slow because they need to simulate the collapse of a wave-function using probabilities with something like Monte Carlo. Quantum computers don't simulate anything, you build a replica wave function and then measure it classically, forcing the collapse to happen in nature. But this has an obvious hard limit where you can't simulate more qbits than your quantum computer has.