Bosonic error correction

We investigate protocols to perform quantum information processing using the motion of a trapped ion. In contrast to a two-level system, the large Hilbert space of a harmonic oscillator enables to encode a logical qubit in a single trapped ion. Using this approach we have encoded a qubit using so-called “grid” or “GKP” states and demonstrated full quantum error correction of such a logical qubit [1,2]. We are working on extending the control methods for these oscillators states in a new apparatus featuring a monolithic, segmented ion trap.

Current Team Members
Moritz Fontboté-Schmidt, Florence Berterottière

References
[1] C. Flühmann, T. L. Nguyen, M. Marinelli, V. Negnevitsky, K. Mehta and J. P. Home, Encoding a qubit in a trapped-ion mechanical oscillator, external page Nature 566, 513–517 (2019)

[2] B. de Neeve, T.-L. Nguyen, T. Behrle and J. P. Home, Error correction of a logical grid state qubit by dissipative pumping, external page Nature Physics 18, 296–300 (2022)