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Freiburg 2024 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 60: Quantum Computing and Simulation I

Q 60.7: Talk

Friday, March 15, 2024, 12:30–12:45, Aula

Towards an entangling gate between bosonic qubits in trapped ions — •Stephan Welte, Moritz Fontboté-Schmidt, Martin Wagener, Edgar Brucke, Paul Röggla, Ivan Rojkov, Florentin Reiter, and Jonathan Home — ETH Zurich, Zurich, Switzerland

Encoding quantum information in a harmonic oscillator provides a resource-efficient platform for quantum error correction. A promising code is Gottesman-Kitaev-Preskill (GKP) encoding [1], which was realized both in trapped ions [2, 3] and superconducting qubits [4]. State preparation, single qubits rotations, readout, and error correction have been realized in both architectures. However, a universal two-qubit gate has yet to be demonstrated. I will describe our work towards an entangling gate between GKP qubits prepared in the motional modes of Calcium ions in a Paul trap. The modes are coupled via the Coulomb repulsion approximating a beam splitter interaction. Together with squeezing operations, this interaction can realize the desired universal gate. In theoretical work, we investigate this gate for experimentally realistic parameters and finite energy states [5]. In parallel, we are developing an apparatus for an experimental implementation, including the fabrication of a novel ion trap and the implementation of individual addressing with tightly focused laser beams. [1] D. Gottesman, A. Kitaev, and J. Preskill. PRA 64, 012310 (2001) [2] C. Flühmann et al. Nature 566, 513(2019) [3] B. de Neeve et al. Nat. Phys. 18, 296 (2022) [4] V. Sivak et al. Nature 616, 50 (2023) [5] I. Rojkov et al. arXiv:2305.05262 (2023)

Keywords: Quantum Gate; GKP State; Trapped Ions; Bosonic mode

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