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Chin. Phys. B, 2021, Vol. 30(6): 060312    DOI: 10.1088/1674-1056/abeb0a
Special Issue: SPECIAL TOPIC — Quantum computation and quantum simulation
TOPICAL REVIEW—Quantum computation and quantum simulation Prev   Next  

Quantum computation and error correction based on continuous variable cluster states

Shuhong Hao(郝树宏)1,2, Xiaowei Deng(邓晓玮)1,3, Yang Liu(刘阳)1,3, Xiaolong Su(苏晓龙)1,†, Changde Xie(谢常德)1, and Kunchi Peng(彭堃墀)1
1 State Key Laboratory of Quantum Optics and Quantum Optics Devices, Collaborative Innovation Center of Extreme Optics, Institute of Opto-Electronics, Shanxi University, Taiyuan 030006, China;
2 School of Mathematics and Physics, Anhui University of Technology, Maanshan 243000, China;
3 Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology, Shenzhen 518055, China
Abstract  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.
Keywords:  quantum computation      quantum error correction      continuous variables      cluster state  
Received:  26 November 2020      Revised:  17 February 2021      Accepted manuscript online:  02 March 2021
PACS:  03.67.-a (Quantum information)  
  03.67.Mn (Entanglement measures, witnesses, and other characterizations)  
  42.50.-p (Quantum optics)  
Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11834010, 11804001, and 11904160), the Natural Science Foundation of Anhui Province, China (Grant No. 1808085QA11), the Program of Youth Sanjin Scholar, National Key R&D Program of China (Grant No. 2016YFA0301402), and the Fund for Shanxi "1331 Project" Key Subjects Construction.
Corresponding Authors:  Xiaolong Su     E-mail:  suxl@sxu.edu.cn

Cite this article: 

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) Quantum computation and error correction based on continuous variable cluster states 2021 Chin. Phys. B 30 060312

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