Is the Born rule a fundamental postulate of quantum mechanics, or can it be inferred from unitary evolution?
Answer
The Born rule is a fundamental postulate of quantum mechanics and therefore it cannot be derived from other postulates --precisely your first link emphasizes this--.
In particular the Born rule cannot be derived from unitary evolution because the rule is not unitary
$$A \rightarrow B_1$$ $$A \rightarrow B_2$$ $$A \rightarrow B_3$$ $$A \rightarrow \cdots$$
The Born rule can be obtained from non-unitary evolutions.
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