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I have got an HHL circuit that looks as follows: enter image description here

In the phase estimation part we are trying to find the eigenvalues of the matrix A. But what is the role of the piece of circuit hightlighted below? enter image description here

As I understant, what are we doing here is to try apply a gate that affects the same as a matrix A multiplied on some angle $\pi / 2^n$. And due to the phase kickback, the q1-q3 qubits stores some phases. What these phases stand for? I read somewhere that this is "phase representation of the eigenvalues" - but why is it so? And why do we need this anlge $\pi / 2^n$?

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