Here's an example I found that implements the phase estimation algorithm:
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 is responsible for the time-evolution, is there a way we can tell which Hamiltonian we're simulating? Is it Pauli X?