[Green_man]

I think that's a fair description of the achievements made so far, but there are some quantum simulations that would be worthwhile or even groundbreaking to simulate (and it's possible that quantum computing is the only way to handle large quantum simulations). My guess is that we're a ways off from them, and even further off from any impressive integer factorizing/cryptography breaking quantum computers (but those predictions are basically worthless).

I'm definitely not an expert in the field, but I read lecture notes by Scott Aarsonson that referenced research by Microsoft that looked into nitrogen fixation specifically as a (potentially) achievable simulation with a (potentially) massive impact.

https://www.scottaaronson.com/qclec/29.pdf

https://www.microsoft.com/en-us/research/wp-content/uploads/...