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Q7.Inverse Phase Operation (S† from S & Z)Easy

Q7.Inverse Phase Operation (S† from S & Z)

Single-Qubit OperationsQubits: 1Q
Synthesize the adjoint phase gate S†=(100−i)S^\dagger = \begin{pmatrix}1 & 0 \\ 0 & -i\end{pmatrix} using only S and Z gates.
Target Objective:
Starting from equal superposition ∣+⟩|+\rangle, apply S and Z to transform it to ∣i−⟩=12(∣0⟩−i∣1⟩)|i-\rangle = \frac{1}{\sqrt{2}}(|0\rangle - i|1\rangle).
Judge Acceptance Criteria:

Statevector fidelity must reach ≥ 99.9% with the target unitary solution.

Gates:
q[0]|0⟩
S0
S1
S2
S3
S4
S5
S6
S7
Click slot to place selected gate. Right-click to remove.0 gates in circuit
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