Superadditivity of Wigner-Yanase-Dyson information revisited

doi:10.1007/s10955-008-9534-y

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	Superadditivity of Wigner-Yanase-Dyson information revisited
	Luo, Shunlong1 ; Zhang, Qiang 2
	2008-06-01
发表期刊	JOURNAL OF STATISTICAL PHYSICS
ISSN	0022-4715
卷号	131 期号:6 页码:1169-1177
摘要	The Wigner-Yanase-Dyson information is an important variant of quantum Fisher information. Two fundamental requirements concerning this notion of information content originally postulated by Wigner and Yanase are convexity and superadditivity. The former was fully established by Lieb in 1973, and led to the first proof of the strong subadditivity of quantum entropy. The latter, although widely believed to be true, was quite recently disproved by Hansen. Nevertheless, superadditivity has also been established in two extreme cases, i.e., when the states are pure or classical. In this paper, we first review a scheme to classify bipartite states into a hierarchy of classical, semi-quantum, and quantum states, which are arranged in the order of increasing quantumness. We then prove the superadditivity of the Wigner-Yanase-Dyson information for all semi-quantum states. The convexity of the Wigner-Yanase-Dyson information plays a crucial role here.
关键词	Wigner-Yanase-Dyson information convexity superadditivity semi-quantum state local quantum measurement
DOI	10.1007/s10955-008-9534-y
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000256085700010
出版者	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/6209
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.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Luo, Shunlong,Zhang, Qiang. Superadditivity of Wigner-Yanase-Dyson information revisited[J]. JOURNAL OF STATISTICAL PHYSICS,2008,131(6):1169-1177.
APA	Luo, Shunlong,&Zhang, Qiang.(2008).Superadditivity of Wigner-Yanase-Dyson information revisited.JOURNAL OF STATISTICAL PHYSICS,131(6),1169-1177.
MLA	Luo, Shunlong,et al."Superadditivity of Wigner-Yanase-Dyson information revisited".JOURNAL OF STATISTICAL PHYSICS 131.6(2008):1169-1177.