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Q21.2-Qubit Cluster State via Controlled-ZMedium

Q21.2-Qubit Cluster State via Controlled-Z

Quantum EntanglementQubits: 2Q
Create the 2-qubit graph state ∣G2⟩=12(∣00⟩+∣01⟩+∣10⟩−∣11⟩)|G_2\rangle = \frac{1}{2}(|00\rangle + |01\rangle + |10\rangle - |11\rangle) essential for measurement-based quantum computing.
Target Objective:
Apply Hadamard on both Qubit 0 and Qubit 1, then apply a Controlled-Z (CZ) gate between them.
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
q[1]|0⟩
S0
S1
S2
S3
S4
S5
S6
S7
Live Python / Qiskit Code (Edit to Update Circuit)
 
Type Qiskit Python code above to update gates on wires automatically0 gates · 2Q
0 gates placed2 Qubits · 8 Steps
State Measurement Distribution:4 non-zero basis states
|10⟩0.0%
|11⟩0.0%
|00⟩100.0%
|01⟩0.0%