Advances in quantum error correction based onsuperconducting quantum systems

Information processing technology based on the basic principle of quantum mechanics shows great potentialapplications in computing, sensing and other fields, and is far superior to classical technology. With the advanceof experimental technology, quantum control technology develops rapidly. Compared with other quantuminformation processing platforms, the superconducting system based on solid materials has the advantages ofaccurate quantum controllability, excellent quantum coherence and the potential for large-scale integration.Therefore, superconducting quantum system is one of the most promising platforms for quantum informationprocessing. The existing superconducting circuits, which can integrate about one hundred qubits, have alreadydemonstrated the advantages of quantum systems, but further development is limited by system noise. In orderto break through this bottleneck, quantum error correction technology, which is developed from the classicalerror correction technology, has attracted extensive attention. Here, we mainly summarize the research progressof quantum error correction in superconducting quantum systems including the basic principles ofsuperconducting quantum systems, the quantum error correction codes, the related control techniques and therecent applications. At the end of the article, we summarize seven key problems in this field.