Separation Between Quantum Lovasz Number and Entanglement-Assisted Zero-Error Classical Capacity

doi:10.1109/TIT.2018.2794391

CSpace

	Separation Between Quantum Lovasz Number and Entanglement-Assisted Zero-Error Classical Capacity
	Wang, Xin 1; Duan, Runyao 1,2
	2018-03-01
发表期刊	IEEE TRANSACTIONS ON INFORMATION THEORY
ISSN	0018-9448
卷号	64 期号:3 页码:1454-1460
摘要	Quantum Lovasz number is a quantum generalization of the Lovasz number in graph theory. It is the best known efficiently computable upper bound of the entanglement-assisted zero-error classical capacity of a quantum channel. However, it remains an intriguing open problem whether quantum entanglement can always enhance the zero-error capacity to achieve the quantum Lovasz number. In this paper, by constructing a particular class of qutrit-to-qutrit channels, we show that there exists a strict gap between the entanglement-assisted zero-error capacity and the quantum Lovasz number. Interestingly, for this class of quantum channels, the quantum generalization of fractional packing number is strictly larger than the zero-error capacity assisted with feedback or no-signaling correlations, which differs from the case of classical channels.
关键词	Classical communication Quantum channel Entanglement-assisted zero-error capacity Lovasz number non-commutative graph theory
DOI	10.1109/TIT.2018.2794391
语种	英语
资助项目	Australian Research Council[DP120103776] ; Australian Research Council[FT120100449]
WOS研究方向	Computer Science ; Engineering
WOS类目	Computer Science, Information Systems ; Engineering, Electrical & Electronic
WOS记录号	WOS:000425665200003
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/29611
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Xin
作者单位	1.Univ Technol Sydney, Fac Engn & Informat Technol, Ctr Quantum Software & Informat, Ultimo, NSW 2007, Australia 2.Chinese Acad Sci, Acad Math & Syst Sci, UTS AMSS Joint Res Lab Quantum Computat & Quantum, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Xin,Duan, Runyao. Separation Between Quantum Lovasz Number and Entanglement-Assisted Zero-Error Classical Capacity[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2018,64(3):1454-1460.
APA	Wang, Xin,&Duan, Runyao.(2018).Separation Between Quantum Lovasz Number and Entanglement-Assisted Zero-Error Classical Capacity.IEEE TRANSACTIONS ON INFORMATION THEORY,64(3),1454-1460.
MLA	Wang, Xin,et al."Separation Between Quantum Lovasz Number and Entanglement-Assisted Zero-Error Classical Capacity".IEEE TRANSACTIONS ON INFORMATION THEORY 64.3(2018):1454-1460.