it's pretty easy to prove that a brain can simulate a Turing machine, and it's pretty hard to disbelieve that a computer can simulate a brain (by running the physics)
If a brain is a hypercomputer (like a quantum computer), then you could simulate it on a classical computer; you'd just never be able to do it in constant time, so it could never be fast enough to catch up with reality.
Also, you wouldn't be able to simulate a specific existing brain due to the quantum no-cloning theorem.