Quantum information processing with bosonic qubits in circuit QED

TL;DR

This paper reviews recent advances in using bosonic qubits within circuit QED systems for quantum information processing, focusing on error correction and progress toward fault-tolerance.

Contribution

It summarizes theoretical and experimental progress in bosonic quantum error correction in circuit QED, highlighting steps toward fault-tolerant quantum computing.

Findings

Bosonic encodings enable hardware-efficient quantum error correction.

Progress has been made toward realizing fault-tolerant quantum processing in cQED.

Recent developments demonstrate the potential of multi-photon states for robust quantum information storage.

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