Does my fidelity estimation and hardware suitability analysis appear correct?
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I have performed a high-level characterization of a 5-qubit quantum circuit that implements 20 gates (10 single-qubit + 10 two-qubit CNOT gates) at a circuit depth of 10. The circuit starts with Hadamard gates on all qubits, followed by a balanced sequence of CNOT entangling operations interspersed with Pauli-X gates and a few fixed-angle (π/2) parameterized rotations. Measurements are performed on all qubits at the end. Key metrics I derived: Gate density = 20 gates / (10 depth × 5 qubits) = 0.
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Does my fidelity estimation and hardware suitability analysis appear correct?
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I have performed a high-level characterization of a 5-qubit quantum circuit that implements 20 gates (10 single-qubit + 10 two-qubit CNOT gates) at a circuit depth of 10.
The circuit starts with Hadamard gates on all qubits, followed by a balanced sequence of CNOT entangling operations interspersed with Pauli-X gates and a few fixed-angle (π/2) parameterized rotations. Measurements are performed on all qubits at the end.
Key metrics I derived: Gate density = 20 gates / (10 depth × 5 qubits) = 0.4
Rough fidelity estimate (using standard depolarizing-noise model with typical error rates ε₂Q ≈ 3×10⁻³ and ε₁Q ≈ 3×10⁻⁴): ( F_{2Q} = \exp(-10 \times 3 \times 10^{-3}) \approx 0.9704 ) ( F_{1Q} = \exp(-10 \times 3 \times 10^{-4}) \approx 0.9970 ) ( F_{\text{total}} \lesssim F_{2Q} \times F_{1Q} \approx 0.968 )
Two-qubit gate noise is the dominant error source, which aligns with current superconducting platforms (T₁/T₂ ≈ 100–300 µs, two-qubit gate time ≈ 300 ns).
My conclusions: The circuit shows efficient entanglement topology and balanced single-/two-qubit usage, suggesting good computational capability within NISQ constraints. With the estimated fidelity ~0.968, the circuit is realistically executable on today’s superconducting hardware. Error-mitigation techniques (zero-noise extrapolation, probabilistic error cancellation) should yield noticeable improvements. Full circuit summary (for reference): 5 qubits, 20 total gates, depth = 10 Sequential ordering: 5× Hadamard → 10× CNOT + Pauli-X + fixed-angle rotations Measurement on all qubits My request for validation: Is this characterization and fidelity calculation sound?
Are the assumptions (error rates, multiplicative fidelity model, dominant 2Q noise) appropriate for a quick high-level analysis?
Would you recommend any additional metrics (e.g., qubit connectivity graph, transpilation cost on a specific backend, or more sophisticated noise modeling) before running this on real hardware?
Any suggestions for improving the analysis or making it more robust are welcome
quantum-algorithms
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asked 1 hour ago
Donte Lightfoot
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