There is a Wikipedia page on [brain simulation][1], but:  

**Question**: Could there be (experimental) evidence that the (human) brain cannot be simulated by a computer?

Note that the Wikipedia page [Mind uploading][2] has a section called [Practical issues][3], but Wikipedia says that this section needs expansion. It is followed by sections on philosophical, ethical, legal or political issues.

My purpose is not philosophical here. Roughly speaking, I just want to know whether there are research works (published in serious peer-review journals) showing that the human brain cannot be simulated by a classical computer.

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**Previous version of the post** 

*Previous title*: Can the human brain be reduced to a biological AI? 

The question is in the title. Let me clarify what I mean by « biological AI » : it looks like an oxymoron if you understand biological as natural and artificial as non-natural, but let understand biological as organic and AI as what it actually does (and not as what it is made of). On the other hand, I am (obviously) not asking whether the human brain was designed...  
AI is here understood in its current classical sense, and not in what it could be in the future with (for example) quantum computers, so that if one can shows (for example) that the (humain) brain involves some quantum processes which cannot be simulated classically, then the answer should be no. Note that the quantum processes were just used here as an example, the question does not reduce to the existence of such processes.


  [1]: https://en.m.wikipedia.org/wiki/Brain_simulation
  [2]: https://en.m.wikipedia.org/wiki/Mind_uploading
  [3]: https://en.m.wikipedia.org/wiki/Mind_uploading#Practical_issues