SAMOP 2023 – scientific programme

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Q: Fachverband Quantenoptik und Photonik

Q 29: Implementations: Ions and Atoms (joint session QI/Q)

Q 29.2: Talk

Wednesday, March 8, 2023, 11:30–11:45, F428

Towards an entangling gate between bosonic qubits in trapped ions — •Stephan Welte, Martin Wagener, Moritz Fontbote-Schmidt, Hendrik Timme, Luca Hermann, Ralf Berner, 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 has been 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 not yet been realized. We will describe our work on such 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 interaction 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. 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. arXiv 2211.09116 (2022)