Experimental implementation of precisely tailored light-matter interaction via inverse engineering
Ying Yan, Chunyan Shi, Adam Kinos, Hafsa Syed, Sebastian Horvath,, Andreas Walther, Lars Rippe, Xi Chen, Stefan Kr\"oll

TL;DR
This paper demonstrates a method for fast, robust quantum state control in rare-earth ions using inverse engineering of light-matter interactions, outperforming traditional adiabatic methods by reducing decoherence and inhomogeneity effects.
Contribution
It introduces a tailored inverse engineering approach for quantum control that is optimized for physical constraints and noise, enhancing state preparation in quantum systems.
Findings
Reduced decoherence compared to adiabatic schemes
Enhanced robustness against inhomogeneities
Applicable to noisy intermediate-scale quantum systems
Abstract
Accurate and efficient quantum control in the presence of constraints and decoherence is a requirement and a challenge in quantum information processing. Shortcuts to adiabaticity, originally proposed to speed up slow adiabatic process, have nowadays become versatile toolboxes for preparing states or controlling the quantum dynamics. Unique shortcut designs are required for each quantum system with intrinsic physical constraints, imperfections, and noises. Here, we implement fast and robust control for the state preparation and state engineering in a rare-earth ions system. Specifically, the interacting pulses are inversely engineered and further optimized with respect to inhomogeneities of the ensemble and the unwanted interaction with other qubits. We demonstrate that our protocols surpass the conventional adiabatic schemes, by reducing the decoherence from the excited state decay and…
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