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 QEC with bosonic codes and report the progress made toward realizing fault-tolerant quantum information processing with cQED devices.
Highlights
A quantum computer harnesses unique features of quantum theory, such as superposition and entanglement, to tackle classically challenging tasks
We review recent developments in the theory and implementation of quantum error correction (QEC) with bosonic codes and report the progress made toward realizing fault-tolerant quantum information processing with Circuit quantum electrodynamics (cQED) devices
To protect quantum information from scrambling, the theoretical frameworks of quantum error correction (QEC) [1, 2] and fault-tolerant quantum computation [3] were developed in the early days of quantum computing
Summary
Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Keywords: bosonic qubits, quantum error correction, circuit QED, superconducting circuits, fault-tolerant quantum computation, quantum information science, bosonic QEC codes
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