Quantum error correction with motional states of trapped ions

I will describe experimental progress aimed at realizing error-corrected quantum computing systems in the motional degree of freedom of trapped-atomic ions. We have realized many rounds of quantum error correction in GKP-encoded logical qubits, extending the logical qubit lifetime by more than a factor of 3 [1,2]. Critical to these experiments was the implementation of measurement and correction suited to experimentally accessible finite-energy states. I will present theoretical and experimental progress towards implementing multi-qubit gates in a radio-frequency trap. Furthermore, I will discuss possibilities to extend control of ions to microtrap arrays using micro-fabricated Penning traps [3], based on our recent first trapping and motional state control in such a setup.

[1] C. Flühmann et al., Nature 566, 513-517 (2019)

[2] B. DeNeeve et al. Nature Physics 18, 3, 296-300 (2022)

[3] S. Jain et al., PRX 10, 3, 031027 (2020)