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Here's an example I found that implements the phase estimation algorithm: enter image description here Here the eigenvector is initialized to the $|+\rangle$ state, which is an eigenvector of Pauli X with eigenvalue 1. The measurement result is a complete 0. My question is what the measurement result tells us about the eigenvalue of this system? Since the qubit q[0] is responsible for the time-evolution, is there a way we can tell which Hamiltonian we're simulating? Is it Pauli X?

Thanks!

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  • $\begingroup$ You mean q[1] is initialized to |+>? In the diagram it is initialized to 0. It seems like phase estimation but there is an H missing before measurement. Also what the measurement results in 0 you mean on the state |0> 100% of the times? $\endgroup$
    – Mauricio
    Jun 14, 2022 at 7:34
  • $\begingroup$ You should also provide the source to your example. $\endgroup$
    – Mauricio
    Jun 14, 2022 at 7:35

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