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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])
ISSN0022-2488
EISSN1089-7658
卷号61期号:6
发表状态已发表
DOI10.1063/1.5092179
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
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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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