Implement the Quantum Phase Estimation (QPE) algorithm using the unitary operator S and the eigenstate∣1⟩ as the target qubit. Use 3 counting qubits and 1 target qubit.Assumptions / notation:Assume the unitary S satisfiesS∣1⟩ = exp (2πiφ) ∣1⟩for some unknown phase φ∈[0,1). Your QPE circuit must estimate φ to 3-bit precision (i.e., output the best3-bit binary approximation of φ).
I am confused with the target Qubit and when I am taking the 3 Qubit then it is having 12.5% Probability for each as an output? Please any suggestion is helpful
1 Answer1
Target qubit is eigenstate of the unitary S.In QPE you can estimate$\theta$ by$\theta=\frac{j}{2^m}$ where$j \in \{0, 1, 2, .., 2^m-1\}$. Here$j$ is a measured value from your counting 3 qubits, so$m=3$. Hence it has 3-bit precision.
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