Q41.H-X-H Conjugation Identity (H · X · H = Z)
Circuit IdentitiesQubits: 1Q
Verify the foundational Clifford identity that conjugating Pauli-X with Hadamard gates converts a bit flip into a phase flip: .
Target Objective:
Apply the sequence H -> X -> H on Qubit 0 initialized in to achieve state .
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
Live Python / Qiskit Code (Edit to Update Circuit)
Type Qiskit Python code above to update gates on wires automatically0 gates · 1Q
0 gates placed1 Qubits · 8 Steps
State Measurement Distribution:2 non-zero basis states
|0⟩100.0%
|1⟩0.0%