Q43.Controlled-Z Synthesis from CNOT & Hadamards
Circuit IdentitiesQubits: 2Q
Synthesize a Controlled-Z gate between Qubit 0 and Qubit 1 using only Hadamard gates and a standard CNOT.
Target Objective:
Apply Hadamards on Qubit 1 before and after CNOT(0->1) on state to flip its phase to .
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%