- The enthusiast-level, inaccurate knowledge about quantum computers is that they can solve many exponentially solvable problems in polynomial time.
- The enthusiast-level, inaccurate knowledge about chaotic systems is that being highly sensitive to initial conditions, their prediction and control is very hard above a - typically, not enough - accuracy.
Today, one of the most famous practical usage of chaotic systems is the problem of modeling the weather of the Earth.
Putting (1) and (2) together, I think using quantum computers, we may have a significant (polynomial to exponential) step to handle them. Is it correct?
Do we have any essential advantage to handle chaos even more than this?