Relation between "no broadcasting" for noncommuting states and "no local broadcasting" for quantum correlations

doi:10.1103/PhysRevA.79.054305

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	Relation between "no broadcasting" for noncommuting states and "no local broadcasting" for quantum correlations
	Luo, Shunlong1 ; Li, Nan1 ; Cao, Xuelian 2
刊名	PHYSICAL REVIEW A
	2009-05-01
卷号	79 期号:5 页码:3
关键词	entropy measurement theory quantum theory
ISSN号	1050-2947
DOI	10.1103/PhysRevA.79.054305
英文摘要	The no-broadcasting theorem, first established by Barnum [Phys. Rev. Lett. 76, 2818 (1996)], states that a set of quantum states can be broadcast if and only if it constitutes a commuting family. Quite recently, Piani [Phys. Rev. Lett. 100, 090502 (2008)] showed, by using an ingenious and sophisticated method, that the correlations in a single bipartite state can be locally broadcast if and only if the state is effectively a classical one (i.e., the correlations therein are classical). In this Brief Report, under the condition of nondegenerate spectrum, we provide an alternative and significantly simpler proof of the latter result based on the original no-broadcasting theorem and the monotonicity of the quantum relative entropy. This derivation motivates us to conjecture the equivalence between these two elegant yet formally different no-broadcasting theorems and indicates a subtle and fundamental issue concerning spectral degeneracy which also lies at the heart of the conflict between the von Neumann projection postulate and the Luders ansatz for quantum measurements. This relation not only offers operational interpretations for commutativity and classicality but also illustrates the basic significance of noncommutativity in characterizing quantumness from the informational perspective.
资助项目	NSFC[10771208] ; Science Fund for Creative Research Groups[10721101]
WOS研究方向	Optics ; Physics
语种	英语
出版者	AMER PHYSICAL SOC
WOS记录号	WOS:000266500900237
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/8406]
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Huazhong Univ Sci & Technol, Sch Math & Stat, Wuhan 430074, Peoples R China
推荐引用方式 GB/T 7714	Luo, Shunlong,Li, Nan,Cao, Xuelian. Relation between "no broadcasting" for noncommuting states and "no local broadcasting" for quantum correlations[J]. PHYSICAL REVIEW A,2009,79(5):3.
APA	Luo, Shunlong,Li, Nan,&Cao, Xuelian.(2009).Relation between "no broadcasting" for noncommuting states and "no local broadcasting" for quantum correlations.PHYSICAL REVIEW A,79(5),3.
MLA	Luo, Shunlong,et al."Relation between "no broadcasting" for noncommuting states and "no local broadcasting" for quantum correlations".PHYSICAL REVIEW A 79.5(2009):3.