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Message transmission over classical quantum channels with a jammer with side information: Correlation as resource, common randomness generation | |
2020-06-01 | |
发表期刊 | JOURNAL OF MATHEMATICAL PHYSICS (IF:1.2[JCR-2023],1.3[5-Year]) |
ISSN | 0022-2488 |
EISSN | 1089-7658 |
卷号 | 61期号:6 |
发表状态 | 已发表 |
DOI | 10.1063/1.5092179 |
摘要 | In this paper, we analyze the capacity of a general model for arbitrarily varying classical-quantum channels (AVCQCs) when the sender and the receiver use correlation as a resource. In this general model, a jammer has side information about the channel input. We determine a single letter formula for the correlation assisted capacity. As an application of our main result, we determine the correlation assisted common randomness generation capacity. In this scenario, the two channel users have access to correlation as a resource and further use an AVCQC with an informed jammer for additional discussion. The goal is to create common randomness between the two channel users. We also analyze these capacity formulas when only a small number of signals from the correlation are available. For the correlation assisted common randomness generation capacity, we show an additional interesting property: For a sufficient amount of "public communication," common randomness generation capacity is Turing computable; however, without this public communication constraint, the correlation assisted common randomness generation capacity is, in general, not Turing computable. Furthermore, we show that even without knowing the capacity formula of the deterministic capacity using the maximal error criterion, we can show that it is impossible to evaluate the performance algorithmically on any current or future digital computer. |
收录类别 | SCI ; SCIE |
语种 | 英语 |
资助项目 | Gottfried Wilhelm Leibniz Program of the German Research Foundation (DFG)[BO 1734/20-1] ; German Research Foundation (DFG) under Germany's Excellence Strategy[EXC-2111-390814868] ; Bundesministerium fur Bildung und Forschung (BMBF)[16KIS0118K] ; National Research Initiative on Quantum Technologies of Bundesministerium fur Bildung und Forschung (BMBF)[QuaDiQua 16KIS0948] ; German Research Foundation (DFG)[BO 1734/24-3][BO 1734/25-1] |
WOS研究方向 | Physics |
WOS类目 | Physics, Mathematical |
WOS记录号 | WOS:000538144000001 |
出版者 | AMER INST PHYSICS |
WOS关键词 | PROBABILITY FUNCTIONS ; CAPACITY ; POSITIVITY |
原始文献类型 | Article |
引用统计 | 正在获取...
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文献类型 | 期刊论文 |
条目标识符 | https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/121670 |
专题 | 信息科学与技术学院_特聘教授组_蔡宁组 |
通讯作者 | Cai, Minglai |
作者单位 | 1.Tech Univ Munich, Lehrstuhl Theoret Informat Tech, Munich, Germany 2.MCQST, Munich, Germany 3.ShanghaiTech Univ, Sch Informat Sci & Technol, Shanghai, Peoples R China |
推荐引用方式 GB/T 7714 | Boche, Holger,Cai, Minglai,Cai, Ning. Message transmission over classical quantum channels with a jammer with side information: Correlation as resource, common randomness generation[J]. JOURNAL OF MATHEMATICAL PHYSICS,2020,61(6). |
APA | Boche, Holger,Cai, Minglai,&Cai, Ning.(2020).Message transmission over classical quantum channels with a jammer with side information: Correlation as resource, common randomness generation.JOURNAL OF MATHEMATICAL PHYSICS,61(6). |
MLA | Boche, Holger,et al."Message transmission over classical quantum channels with a jammer with side information: Correlation as resource, common randomness generation".JOURNAL OF MATHEMATICAL PHYSICS 61.6(2020). |
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