Quantum Information Processing with GKP Qubits

Abstract

Motional modes of a trapped ion are naturally accessible harmonic oscillators.
Gottesman-Kitaev-Preskill (GKP) states, also known as grid states, can encode a logical qubit in a quantum harmonic oscillator. In our experiment, we use quantum error correction (de Neeve et al., 2022) to stabilize GKP states of the motion of a trapped ion.
This talk will underline the main challenges of this quantum error correction scheme. Currently, we are working towards a two-qubit gate between two error-corrected GKP qubits. This talk will showcase some of the necessary ingredients towards such an entangling gate.