Quantum computation and error correction based on continuous variable cluster states

doi:10.1088/1674-1056/abeb0a

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

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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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