%A Shuhong Hao(郝树宏), Xiaowei Deng(邓晓玮), Yang Liu(刘阳), Xiaolong Su(苏晓龙), Changde Xie(谢常德), and Kunchi Peng(彭堃墀) %T Quantum computation and error correction based on continuous variable cluster states %0 Journal Article %D 2021 %J Chin. Phys. B %R 10.1088/1674-1056/abeb0a %P 60312-060312 %V 30 %N 6 %U {https://cpb.iphy.ac.cn/CN/abstract/article_123619.shtml} %8 2021-05-18 %X Measurement-based quantum computation with continuous variables, which realizes computation by performing measurement and feedforward of measurement results on a large scale Gaussian cluster state, provides a feasible way to implement quantum computation. Quantum error correction is an essential procedure to protect quantum information in quantum computation and quantum communication. In this review, we briefly introduce the progress of measurement-based quantum computation and quantum error correction with continuous variables based on Gaussian cluster states. We also discuss the challenges in the fault-tolerant measurement-based quantum computation with continuous variables.