Superoscillating Quantum Control Induced By Sequential Selections

• URL: http://arxiv.org/abs/2305.04303v1
• Date: Sun, 7 May 2023 15:07:28 GMT
• Title: Superoscillating Quantum Control Induced By Sequential Selections
• Authors: Yongcheng Ding, Yiming Pan, Xi Chen
• Abstract summary: Superoscillation is a counterintuitive phenomenon for its mathematical feature of "faster-than-Fourier" We provide a superoscillating quantum control protocol realized by sequential selections in the framework of weak measurement. Our findings provide avenues for quantum state control and wave-packet manipulation using superoscillation in quantum platforms such as trapped ions.
• Score: 4.336065967298193
• 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. Here, we provide a superoscillating quantum control protocol realized by sequential selections in the framework of weak measurement, which drives the apparatus (target) by repeatedly applying optimal pre- and post-selections to the system (controller). Our protocol accelerates the adiabatic 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 provide avenues for quantum state control and wave-packet manipulation using superoscillation in quantum platforms such as trapped ions.

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