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The Inductive Bias of Quantum Kernels

NeurIPS 2021 · Learning theory and algorithms › Kernels and regression theory · approach: RKHS kernel methods · 44 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use the projected kernel on the known target-bearing first qubitQuantum kernel regression · Synthetic first-qubit observable regression, varying qubitstest errorHelped
Use the full quantum kernel without the target-specific spectral biasQuantum kernel regression · Synthetic first-qubit observable regression, varying qubitstest errorHurt
Use an RBF kernel without the target-specific spectral biasQuantum kernel regression comparison · Synthetic first-qubit observable regression, varying qubitstest errorHurt
Use the second qubit instead of the target-bearing first qubit (ablation)Biased quantum kernel q · Synthetic first-qubit observable regression, varying qubitstest errorHurt
Project the kernel onto an arbitrary, incorrect qubit (ablation)Quantum kernel regression · Synthetic first-qubit observable regression, varying qubitstest errorNo clear effect

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