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International Conference on Atomic Physics (ICAP)

Quantum information processing and cavity QED experiments with trapped Ca+ ions

S. Gulde, H. Häffner, Mark Riebe, Gavin P. T. Lancaster, A.B. Mundt, Axel Kreuter, Carlos Russo, Christoph Becher, Jürgen Eschner, Ferdinand Schmidt‐Kaler, Isaac L. Chuang, R. Blatt

Published Apr 1, 2003• 5 citations
Publisher
DOI
10.1142/9789812705099_0030

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Summary form only given. Recently, cavity QED has produced spectacular advances exploiting the interaction of atoms and photons. A prominent example is the observation of atomic trajectories via the cavity field. In some cases however, the well determined atom-field coupling in those experiments is offset by the lack of control over the motion of the atom. This is detrimental, for example, to the implementation of deterministic dynamics in the system, since neither the arrival time nor the position (and hence the strength of interaction) of an atom is known in advance. These problems are avoided when a single trapped ion interacts with the optical field, as is the case in our cavity-QED system. For coupling to the optical field, we have chosen the D/sub 3/2/ to P/sub 1/2/ transition in /sup 40/Ca/sup +/.

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High-dimensional quantum systems have been used to reveal interesting fundamental physics and to improve information capacity and noise resilience in quantum information processing. However, it remains a significant challenge to realize universal two-photon quantum gates in high dimensions with high success probability. Here, by considering an ion-cavity QED system, we theoretically propose, to the best of our knowledge, the first high-dimensional, deterministic, and universal two-photon quantum gate. By using an optical cavity embedded with a single trapped Ca + 40 ion, we achieve a high average fidelity larger than 98% for a quantum controlled phase-flip gate in four-dimensional space, spanned by photonic spin angular momenta and orbital angular momenta. Our proposed system can be an essential building block for high-dimensional quantum information processing, and also provides a platform for studying high-dimensional cavity QED. Published by the American Physical Society 2024
Summary form only given. Recently, cavity QED has produced spectacular advances exploiting the interaction of atoms and photons. A prominent example is the observation of atomic trajectories via the cavity field. In some cases however, the well determined atom-field coupling in those experiments is offset by the lack of control over the motion of the atom. This is detrimental, for example, to the implementation of deterministic dynamics in the system, since neither the arrival time nor the position (and hence the strength of interaction) of an atom is known in advance. These problems are avoided when a single trapped ion interacts with the optical field, as is the case in our cavity-QED system. For coupling to the optical field, we have chosen the D/sub 3/2/ to P/sub 1/2/ transition in /sup 40/Ca/sup +/.