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How to perform amplitude amplification to return $|\psi_{\rm good}⟩$ from $\cos\theta|\psi_{\rm good},\phi⟩+\sin\theta|\psi_{\rm bad},\phi^\perp⟩$?

For question 1 - A state is a valid quantum state if it is normalised (i.e. the sum of the absolute value of its coefficients squared add to 1). For question 2 - This question is basically asking you ...
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