Bosonic quantum error correction codes in superconducting quantum circuits

Quantum information is vulnerable to environmental noise and experimental imperfections, hindering the reliability of practical quantum processors. Therefore, error correction (QEC) that can protect against vital for universal scalable computation. Among many different platforms, superconducting circuits bosonic encodings in microwave modes are appealing their unprecedented potential QEC. During last few years, QEC demonstrated reach break-even point, i.e. lifetime a logical qubit enhanced exceed any individual components composing system. Beyond that, gate sets fault-tolerant operations on codes also realized, pushing processing towards era. In this article, we review recent progress codes, including Gottesman-Kitaev-Preskill cat binomial discuss opportunities various applications, ranging from computation metrology. We summarize challenges associated with provide an outlook research directions long terms.