Quantum information processing with bosonic qubits in circuit QED

Abstract The unique features of quantum theory offer a powerful new paradigm for information processing. Translating these mathematical abstractions into useful algorithms and applications requires systems with significant complexity sufficiently low error rates. Such must be made from robust hardware that can coherently store, process, extract the encoded information, as well possess effective correction (QEC) protocols to detect correct errors. Circuit electrodynamics (cQED) provides promising platform implementing devices. In particular, bosonic encodings in cQED use multi-photon states superconducting cavities encode have shown success realizing hardware-efficient QEC. Here, we review recent developments implementation QEC codes report progress toward fault-tolerant processing