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- 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?

1

Specifically about weather modeling, you may be interested in the paper "Frolov, A.V. Russ. Meteorol. Hydrol. (2017) 42: 545. https://doi.org/10.3103/S1068373917090011"

– blalasaadri – 2018-03-13T07:18:04.707