Theory of quasi-exact fault-tolerant quantum computing and valence-bond-solid codes

doi:10.1088/1367-2630/ac4737

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	Theory of quasi-exact fault-tolerant quantum computing and valence-bond-solid codes
	Wang, Dong-Sheng ; Wang, Yun-Jiang ; Cao, Ningping 4,6; Zeng, Bei 1; Laflamme, Raymond 3,4
刊名	NEW JOURNAL OF PHYSICS
	2022
卷号	24 期号:2 页码:23019
关键词	COMPUTATION CAPACITY CHANNEL
ISSN号	1367-2630
DOI	10.1088/1367-2630/ac4737
英文摘要	In this work, we develop the theory of quasi-exact fault-tolerant quantum (QEQ) computation, which uses qubits encoded into quasi-exact quantum error-correction codes ('quasi codes'). By definition, a quasi code is a parametric approximate code that can become exact by tuning its parameters. The model of QEQ computation lies in between the two well-known ones: the usual noisy quantum computation without error correction and the usual fault-tolerant quantum computation, but closer to the later. Many notions of exact quantum codes need to be adjusted for the quasi setting. Here we develop quasi error-correction theory using quantum instrument, the notions of quasi universality, quasi code distances, and quasi thresholds, etc. We find a wide class of quasi codes which are called valence-bond-solid codes, and we use them as concrete examples to demonstrate QEQ computation.
学科主题	Physics
语种	英语
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/27893]
专题	理论物理研究所_理论物理所1978-2010年知识产出
作者单位	1.Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada 2.Univ Waterloo, Dept Phys & Astron, Waterloo, ON N2L 3G1, Canada 3.Hong Kong Univ Sci & Technol, Dept Phys, Kowloon, Clear Water Bay, Hong Kong, Peoples R China 4.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 5.Univ Waterloo, Inst Quantum Comp, Waterloo, ON N2L 3G1, Canada 6.Xidian Univ, State Key Lab Integrated Serv Networks, Xian, Shaanxi, Peoples R China
推荐引用方式 GB/T 7714	Wang, Dong-Sheng,Wang, Yun-Jiang,Cao, Ningping,et al. Theory of quasi-exact fault-tolerant quantum computing and valence-bond-solid codes[J]. NEW JOURNAL OF PHYSICS,2022,24(2):23019.
APA	Wang, Dong-Sheng,Wang, Yun-Jiang,Cao, Ningping,Zeng, Bei,&Laflamme, Raymond.(2022).Theory of quasi-exact fault-tolerant quantum computing and valence-bond-solid codes.NEW JOURNAL OF PHYSICS,24(2),23019.
MLA	Wang, Dong-Sheng,et al."Theory of quasi-exact fault-tolerant quantum computing and valence-bond-solid codes".NEW JOURNAL OF PHYSICS 24.2(2022):23019.