The classical-quantum channel with random state parameters known to the sender

doi:10.1088/1751-8113/49/19/195302

	The classical-quantum channel with random state parameters known to the sender
	Boche, Holger 1; Cai, Ning2 ; Noetzel, Janis 1,3
	2016-05-13
发表期刊	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
ISSN	1751-8113
卷号	49 期号:19
发表状态	已发表
DOI	10.1088/1751-8113/49/19/195302
摘要	We study an analog of the well-known Gel'fand Pinsker channel which uses quantum states for the transmission of the data. We consider the case where both the sender's inputs to the channel and the channel states are to be taken from a finite set (the cq-channel with state information at the sender). We distinguish between causal and non-causal channel state information input by the sender. The receiver remains ignorant, throughout. We give a single-letter description of the capacity in the first case. In the second case we present two different regularized expressions for the capacity. It is an astonishing and unexpected result of our work that a simple change from causal to non-causal channel state information by the encoder causes the complexity of a numerical computation of the capacity formula to change from trivial to seemingly difficult. Still, even the non-single letter formula allows one to draw nontrivial conclusions, for example regarding the continuity of the capacity with respect to changes in the system parameters. The direct parts of both coding theorems are based on a special class of positive operator valued measurements (POVMs) which are derived from orthogonal projections onto certain representations of the symmetric groups. This approach supports a reasoning that is inspired by the classical method of types. In combination with the non-commutative union bound these POVMs yield an elegant method of proof for the direct part of the coding theorem in the first case.
关键词	channel state state knowledge message transmission non-causal channel state knowledge causal channel state knowledge
收录类别	SCI
语种	英语
资助项目	Generalitat de Catalunya CIRIT Project[2014 SGR 966]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000374218900013
出版者	IOP PUBLISHING LTD
WOS关键词	BROADCAST CHANNEL ; SIDE INFORMATION ; CAPACITY REGION ; IDENTIFICATION ; COMMUNICATION ; CONVERSE
原始文献类型	Article
引用统计
文献类型	期刊论文
条目标识符	https://kms.shanghaitech.edu.cn/handle/2MSLDSTB/1836
专题	信息科学与技术学院_特聘教授组_蔡宁组
通讯作者	Noetzel, Janis
作者单位	1.Tech Univ Munich, Lehrstuhl Theoret Informat Tech, D-80290 Munich, Germany 2.ShanghaiTech Univ, Sch Informat Sci & Technol, Shanghai, Peoples R China 3.Univ Autonoma Barcelona, Fis Teor Informacio & Fenomens Quant, ES-08193 Bellaterra, Barcelona, Spain
推荐引用方式 GB/T 7714	Boche, Holger,Cai, Ning,Noetzel, Janis. The classical-quantum channel with random state parameters known to the sender[J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,2016,49(19).
APA	Boche, Holger,Cai, Ning,&Noetzel, Janis.(2016).The classical-quantum channel with random state parameters known to the sender.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL,49(19).
MLA	Boche, Holger,et al."The classical-quantum channel with random state parameters known to the sender".JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 49.19(2016).