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This research introduces "error-generator-level compression," a novel control principle using Magnus expansion techniques to suppress coherent errors in fast quantum gates with minimal waveform parameters. The method significantly outperforms standard DRAG optimization for transmon systems while maintaining robustness against finite-bandwidth filtering effects, offering a practical path toward higher-fidelity multilevel quantum operations without complex pulse engineering.
Error-Generator-Level Compression for Fast Quantum Gates
arXiv:2607.28922v1 Announce Type: new Abstract: Fast quantum gates in multilevel systems require suppressing many coherent-error channels using pulses that remain simple to implement. We introduce error-generator-level compression, a Magnus-based control principle that minimizes the complete projected error generator at a chosen perturbative order while restricting the implemented waveform to a few independently adjustable coefficients. This construction preserves all modeled computational and leakage errors rather than truncating the pulse by error channel, while its generator-level objective directly penalizes residual eigenphases that can signal departure from the perturbative regime. For fast transmon gates, a three-parameter pulse suppresses errors by orders of magnitude, outperforms grid-optimized leading- order DRAG over the gate-time range studied, and approaches a fully parameterized 17-parameter Magnus correction. The compressed pulse is also substantially less sensitive to the illustrative finite-bandwidth filtering model considered here.
Abstract:Fast quantum gates in multilevel systems require suppressing many coherent-error channels using pulses that remain simple to implement. We introduce error-generator-level compression, a Magnus-based control principle that minimizes the complete projected error generator at a chosen perturbative order while restricting the implemented waveform to a few independently adjustable coefficients. This construction preserves all modeled computational and leakage errors rather than truncating the pulse by error channel, while its generator-level objective directly penalizes residual eigenphases that can signal departure from the perturbative regime. For fast transmon gates, a three-parameter pulse suppresses errors by orders of magnitude, outperforms grid-optimized leading- order DRAG over the gate-time range studied, and approaches a fully parameterized 17-parameter Magnus correction. The compressed pulse is also substantially less sensitive to the illustrative finite-bandwidth filtering model considered here.
arXiv:2607.28922 [quant-ph]
(or arXiv:2607.28922v1 [quant-ph] for this version)
https://doi.org/10.48550/arXiv.2607.28922 Focus to learn more arXiv-issued DOI via DataCite (pending registration)
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