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Semidefinite Programming Strong Converse Bounds for Classical Capacity

文献类型：期刊论文

作者Wang, Xin1; Xie, Wei1; Duan, Runyao1,2
刊名IEEE TRANSACTIONS ON INFORMATION THEORY
出版日期2018
卷号64期号:1页码:640-653
关键词Classical capacity quantum channel semidefinite programming strong converse zero-error capacity
ISSN号0018-9448
DOI10.1109/TIT.2017.2741101
英文摘要We investigate the classical communication over quantum channels when assisted by no-signaling and positive-partial-transpose-preserving (PPT) codes, for which both the optimal success probability of a given transmission rate and the one-shot epsilon-error capacity are formalized as semidefinite programs (SDPs). Based on this, we obtain improved SDP finite blocklength converse bounds of general quantum channels for entanglement-assisted codes and unassisted codes. Furthermore, we derive two SDP strong converse bounds for the classical capacity of general quantum channels: for any code with a rate exceeding either of the two bounds of the channel, the success probability vanishes exponentially fast as the number of channel uses increases. In particular, applying our efficiently computable bounds, we derive an improved upper bound on the classical capacity of the amplitude damping channel. We also establish the strong converse property for the classical and private capacities of a new class of quantum channels. We finally study the zero-error setting and provide efficiently computable upper bounds on the one-shot zero-error capacity of a general quantum channel.
资助项目Australian Research Council[DP120103776] ; Australian Research Council[FT120100449]
WOS研究方向Computer Science ; Engineering
语种英语
WOS记录号WOS:000418754100038
出版者IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/29211]  
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,Xie, Wei,Duan, Runyao. Semidefinite Programming Strong Converse Bounds for Classical Capacity[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2018,64(1):640-653.
APA Wang, Xin,Xie, Wei,&Duan, Runyao.(2018).Semidefinite Programming Strong Converse Bounds for Classical Capacity.IEEE TRANSACTIONS ON INFORMATION THEORY,64(1),640-653.
MLA Wang, Xin,et al."Semidefinite Programming Strong Converse Bounds for Classical Capacity".IEEE TRANSACTIONS ON INFORMATION THEORY 64.1(2018):640-653.

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来源：数学与系统科学研究院

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