Quantum computation and error correction based on continuous variable cluster states

doi:10.1088/1674-1056/abeb0a

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 60312-060312.doi: 10.1088/1674-1056/abeb0a

所属专题： SPECIAL TOPIC — Quantum computation and quantum simulation

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

收稿日期:2020-11-26 修回日期:2021-02-17 接受日期:2021-03-02 出版日期:2021-05-18 发布日期:2021-06-05
通讯作者: Xiaolong Su E-mail:suxl@sxu.edu.cn
基金资助:
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.

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

Received:2020-11-26 Revised:2021-02-17 Accepted:2021-03-02 Online:2021-05-18 Published:2021-06-05
Contact: Xiaolong Su E-mail:suxl@sxu.edu.cn
Supported by:
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.

摘要/Abstract

摘要： 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.

关键词: quantum computation, quantum error correction, continuous variables, cluster state

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.

Key words: quantum computation, quantum error correction, continuous variables, cluster state

中图分类号: (Quantum information)

03.67.-a

03.67.Mn (Entanglement measures, witnesses, and other characterizations) 42.50.-p (Quantum optics)

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[J]. 中国物理B, 2021, 30(6): 60312-060312.

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Quantum computation and error correction based on continuous variable cluster states

Quantum computation and error correction based on continuous variable cluster states

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