I can't speak to a claim that there are proven theoretical advantages for biological or climate simulations; but researchers are looking for them. With respect

I can't speak to a claim that there are proven theoretical advantages for biological or climate simulations; but researchers are looking for them. With respect to biological simulations, researchers at IBM were able to implement artificial life algorithms on a quantum computer [0]. They discuss some potential advantages to simulating life on a quantum computer versus a classical one. Researchers have also been trying to figure out if quantum computers can be used for weather predictions [1]. [0]: https://arxiv.org/abs/1711.09442 https://arxiv.org/abs/1711.09442 [1]: https://link.springer.com/article/10.3103/S1068373917090011 https://link.springer.com/article/10.3103/S1068373917090011