Transducer leakage error suppression using invariant-based shortcut

Abstract:We present a method for suppressing transducer leakage errors in spin-superconducting hybrid quantum systems with the theory of optimal invariant-based shortcut. By mediated virtual photons as a transducer to exchange the energy between the spin qubit and a transmon qubit, the fidelity of the population of the final state features a broad range above 99\% under the influence of leakage error. The leakage probability from computational subspace to non-computational subspace can be effectively suppressed at a lowest value with $0.01$. Based on the optimized pulse control designed by the invariant-based inverse engineering, the high-fidelity quantum iSWAP gate operations and entanglement state preparation within the computational subspace are achieved. {Compared to the traditional $\pi$ pulse, derivative removal by adiabatic gate, counter-diabatic shortcut schemes, and limited-memory Broyden-Fletcher-Goldfarb-Shanno gradient ascent pulse engineering, the optimized shortcut scheme can still achieve a high fidelity with 99\% in the presence of decoherence and control error.} When taking into account the possibility of leakage errors in actual situations, our solution can still largely resist the influence of control errors. The results provides a feasible path for precisely manipulating the quantum state of hybrid quantum systems.

2026 New J. Phys. 28 074515

arXiv:2607.14175 [quant-ph]

(or arXiv:2607.14175v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2607.14175 Focus to learn more arXiv-issued DOI via DataCite

2026 New J. Phys. 28 074515

https://doi.org/10.1088/1367-2630/ae8c7c Focus to learn more DOI(s) linking to related resources

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