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.
Faster quantum gates can suppress the decoherence accumulated during a computation, but in superconducting processors stronger microwave pulses can also increase leakage, off-resonant excitation, stray-field errors, and crosstalk. This creates a central energy--speed--error tradeoff: can quantum state engineering make...
Pablo Restrepo Gaviria, Mischa P. Woods· 0 citations
This work proposes a framework for dynamical quantum error correction at the circuit level, requiring no logical encoding or ancillary qubits, and shows that this circuit-level dynamical correction synergizes with pulse-level robust control, providing an analytical bridge between continuous noise dynamics and discrete...
Jun-Kai Zeng, Hao Liang, Ju-Hai Yong et al.· Quantum Science and Technolo...· 0 citations
We determine the optimal quantum manipulation protocols for implementing high-fidelity, fast single-qubit gates. We demonstrate that the time-optimal pulse sequence is a ``bang-bang''sequence: discrete pulses of either positive or negative maximum amplitude or zero. The non-adiabatic bang-bang pulse sequence minimizes...
Valentín Reparaz, Santiago Ferreyra, María José Sánchez et al.· 0 citations
Measurement errors limit the fidelity of sampling-based quantum tasks, yet extending error mitigation to sampling remains challenging. Here, we introduce a simple and scalable repetition-based scheme that mitigates measurement errors directly at the sampling level. By encoding each data qubit into multiple physical qub...
Simple analytic pulse-shaping techniques are of great practical utility in quantum control, with prime examples being the DRAG method for suppressing leakage in superconducting microwave gates and the transitionless-driving approach to shortcuts-to-adiabaticity. Standard versions of these methods require two orthogonal...
Lukas Heunisch, Michael J. Hartmann, A. Clerk· 1 citation
Quantum error correction commonly relies on syndrome measurement, decoding, and conditional feedback. We numerically show that the conditional spectrum of an interacting transmon circuit can compile a local recovery rule into a fixed open-loop control cycle. In a four-bit repetition-code ring, the resulting input-indep...
Yi-Hong Yu, Kai Xu, Heng Fan· 0 citations
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