QUANTUMNESS OF QUANTUM ENSEMBLES

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	QUANTUMNESS OF QUANTUM ENSEMBLES
	Luo, Shunlong; Li, Nan; Fu, Shuangshuang
	2011-12-01
发表期刊	THEORETICAL AND MATHEMATICAL PHYSICS
ISSN	0040-5779
卷号	169 期号:3 页码:1724-1739
摘要	Quantum ensembles, as generalizations of quantum states, are a universal instrument for describing the physical or informational status in measurement theory and communication theory because of the ubiquitous presence of incomplete information and the necessity of encoding classical messages in quantum states. The interrelations between the constituent states of a quantum ensemble can display more or less quantum characteristics when the involved quantum states do not commute because no single classical basis diagonalizes all these states. This contrasts sharply with the situation of a single quantum state, which is always diagonalizable. To quantify these quantum characteristics and, in particular, to more clearly understand the possibilities of secure data transmission in quantum cryptography, based on certain prototypical quantum ensembles, we introduce some figures of merit quantifying the quantumness of a quantum ensemble, review some existing quantities that are interpretable as measures of quantumness, and investigate their fundamental properties such as subadditivity and concavity. Comparing these measures, we find that different measures can yield different quantumness orderings for quantum ensembles. This reveals the elusive and complex nature of quantum ensembles and shows that no unique measure can describe all the fundamental and subtle properties of quantumness.
关键词	quantum ensemble quantumness quantum correlation cloning Holevo quantity commutator quantum measurement
语种	英语
资助项目	NSFC[10771208] ; Science Fund for Creative Research Groups[10721101] ; Key Lab of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182]
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary ; Physics, Mathematical
WOS记录号	WOS:000300146300005
出版者	MAIK NAUKA/INTERPERIODICA/SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/11316
专题	应用数学研究所
通讯作者	Luo, Shunlong
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China
推荐引用方式 GB/T 7714	Luo, Shunlong,Li, Nan,Fu, Shuangshuang. QUANTUMNESS OF QUANTUM ENSEMBLES[J]. THEORETICAL AND MATHEMATICAL PHYSICS,2011,169(3):1724-1739.
APA	Luo, Shunlong,Li, Nan,&Fu, Shuangshuang.(2011).QUANTUMNESS OF QUANTUM ENSEMBLES.THEORETICAL AND MATHEMATICAL PHYSICS,169(3),1724-1739.
MLA	Luo, Shunlong,et al."QUANTUMNESS OF QUANTUM ENSEMBLES".THEORETICAL AND MATHEMATICAL PHYSICS 169.3(2011):1724-1739.