Superoscillating Quantum Control Induced By Sequential Selections

TL;DR

This paper introduces a superoscillating quantum control protocol using sequential weak measurements to accelerate quantum processes and improve robustness against noise, opening new avenues for quantum state manipulation.

Contribution

It presents a novel superoscillating quantum control method based on sequential selections within weak measurement framework, enhancing quantum state manipulation capabilities.

Findings

Accelerates adiabatic transport of trapped ions

Enhances robustness against decoherence and noise

Demonstrates trade-off between fidelity and number of selections

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.