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Quantum Control of Trapped Rydberg Ions


This project aims at investigating the promising novel platform of trapped Rydberg ions for applications in quantum technologies. Recent experiments introduced this platform as hybrid systems, merging the best of two worlds: fast entangling operations, when exploring strong dipole-dipole interactions of Rydberg excitations, and high-fidelity gates when dealing with the collective motional modes of the trapped ions. However, in order to make the most out of the platform, the significantly different time scales involved in the fast dynamics of highly-excited internal electronic states and the slow collective motional dynamics must be made commensurate. We will thus demonstrate how one can harness the effects of the huge Rydberg-ion polarizabilities on the collective motion to achieve a coherent control required for multi-ion entangling operations. The influence of Rydberg excitations will be further investigated in the limit over which motional excitations can be treated locally, opening the possibilities for the observation of quantum many-body phenomena, using the platform as a quantum simulator. The interplay of the strong dipolar interactions with motional coupling is also expected to act on how these atomic systems scatter light collectively, affecting the coherence times for computing operations. Thus the influence of Rydberg excitations of the ions on the phenomena of superradiance and subradiance will be investigated. Given the importance of extending coherence times, we finally analyze a way to substantially improve Rydberg-ion platforms using, instead of the commonly excited low-angular momenta states, long-lived circular Rydberg states. (AU)

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