Superoscillating Quantum Control Induced By Sequential Selections

• URL: http://arxiv.org/abs/2305.04303v2
• Date: Fri, 16 May 2025 18:17:45 GMT
• Title: Superoscillating Quantum Control Induced By Sequential Selections
• Authors: Yongcheng Ding, Yiming Pan, Xi Chen,
• Abstract summary: We introduce a superoscillating quantum control protocol realized by sequential selections within the framework of weak measurement.<n>Our findings open new avenues for quantum state manipulation and wave-packet control using superoscillation across a range of quantum platforms.
• Score: 3.8914132324834045
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Superoscillation is a counterintuitive phenomenon for its mathematical feature of ``faster-than-Fourier", which has allowed novel optical imaging beyond the diffraction limit. In this article, we introduce a superoscillating quantum control protocol realized by sequential selections within the framework of weak measurement, which steers the apparatus (target) by repeatedly applying optimal pre- and post-selections to the system (controller). Our protocol accelerates theadiabatic transport of trapped ions and adiabatic quantum search algorithm at a finite energy cost. We demonstrate the accuracy and robustness of the protocol in the presence of decoherence and fluctuating noise, and elucidate the trade-off between fidelity and rounds of selections. Our findings open new avenues for quantum state manipulation and wave-packet control using superoscillation across a range of quantum platforms.

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