Two-qubit gate protocols with microwave-dressed Rydberg ions in a linear Paul trap

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Hauptverfasser: Wilkinson, Joseph W. P., Bolsmann, Katrin, Guedes, Thiago L. M., Müller, Markus, Lesanovsky, Igor
Format: Preprint
Veröffentlicht: 2024
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author Wilkinson, Joseph W. P.
Bolsmann, Katrin
Guedes, Thiago L. M.
Müller, Markus
Lesanovsky, Igor
author_facet Wilkinson, Joseph W. P.
Bolsmann, Katrin
Guedes, Thiago L. M.
Müller, Markus
Lesanovsky, Igor
contents Ultracold trapped atomic ions excited into highly energetic Rydberg states constitute a promising platform for scalable quantum information processing. Elementary building blocks for such tasks are high-fidelity and sufficiently fast entangling two-qubit gates, which can be achieved via strong dipole-dipole interactions between microwave-dressed Rydberg ions, as recently demonstrated in a breakthrough experiment at https://www.nature.com/articles/s41586-020-2152-9 . We theoretically investigate the performance of three protocols leading to controlled-phase gate operations. Starting from a microscopic description of Rydberg ions in a linear Paul trap, we derive an effective Hamiltonian that faithfully captures the essential dynamics underlying the gate protocols. We then use an optimization scheme to fine-tune experimentally controllable parameters like laser detuning and Rabi frequency to yield maximal gate fidelity under each studied protocol. We show how non-adiabatic transitions resulting from fast laser driving relative to the characteristic time scales of the system detrimentally affect the fidelity. Despite this, we demonstrate that in the realistic scenario of Rydberg ions with finite radiative lifetimes, optimizing the best found gate protocol enables achievement of fidelities as high as $99.25\,\%$ for a gate time of $0.2\,μ\mathrm{s}$. This considerably undercuts entangling gate durations between ground-state ions, for which gate times are typically limited by the comparably slower time scales of vibrational modes. Overall, this places trapped Rydberg ions into the regime where fast high-accuracy quantum computing and eventually quantum error correction become possible.
format Preprint
id arxiv_https___arxiv_org_abs_2412_13699
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Two-qubit gate protocols with microwave-dressed Rydberg ions in a linear Paul trap
Wilkinson, Joseph W. P.
Bolsmann, Katrin
Guedes, Thiago L. M.
Müller, Markus
Lesanovsky, Igor
Quantum Physics
Atomic Physics
Ultracold trapped atomic ions excited into highly energetic Rydberg states constitute a promising platform for scalable quantum information processing. Elementary building blocks for such tasks are high-fidelity and sufficiently fast entangling two-qubit gates, which can be achieved via strong dipole-dipole interactions between microwave-dressed Rydberg ions, as recently demonstrated in a breakthrough experiment at https://www.nature.com/articles/s41586-020-2152-9 . We theoretically investigate the performance of three protocols leading to controlled-phase gate operations. Starting from a microscopic description of Rydberg ions in a linear Paul trap, we derive an effective Hamiltonian that faithfully captures the essential dynamics underlying the gate protocols. We then use an optimization scheme to fine-tune experimentally controllable parameters like laser detuning and Rabi frequency to yield maximal gate fidelity under each studied protocol. We show how non-adiabatic transitions resulting from fast laser driving relative to the characteristic time scales of the system detrimentally affect the fidelity. Despite this, we demonstrate that in the realistic scenario of Rydberg ions with finite radiative lifetimes, optimizing the best found gate protocol enables achievement of fidelities as high as $99.25\,\%$ for a gate time of $0.2\,μ\mathrm{s}$. This considerably undercuts entangling gate durations between ground-state ions, for which gate times are typically limited by the comparably slower time scales of vibrational modes. Overall, this places trapped Rydberg ions into the regime where fast high-accuracy quantum computing and eventually quantum error correction become possible.
title Two-qubit gate protocols with microwave-dressed Rydberg ions in a linear Paul trap
topic Quantum Physics
Atomic Physics
url https://arxiv.org/abs/2412.13699