Notes on superadditivity of Wigner-Yanase-Dyson information

doi:10.1007/s10955-007-9349-2

CSpace > 应用数学研究所

	Notes on superadditivity of Wigner-Yanase-Dyson information
	Luo, Shunlong
	2007-09-01
发表期刊	JOURNAL OF STATISTICAL PHYSICS
ISSN	0022-4715
卷号	128 期号:5 页码:1177-1188
摘要	The classical Fisher information is superadditive in the sense that the Fisher information of a bivariate probability density is always not less than the sum of those of the marginals. The longstanding conjecture concerning the superadditivity of the Wigner-Yanase-Dyson information is a quantum analogue of this property. It is remarkable that Hansen constructed a numerical counterexample to the quantum case (J. Stat. Phys. 126: 643-648, 2007). However, the requirement of superadditivity of an information-theoretic quantity such as the Wigner-Yanase-Dyson information seems so intuitive, it is desirable to identify conditions as general as possible such that the superadditivity holds. In this paper, we establish the superadditivity in several physically significant cases.
关键词	Fisher information Wigner-Yanase-Dyson information superadditivity density operator spectral decomposition
DOI	10.1007/s10955-007-9349-2
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Mathematical
WOS记录号	WOS:000248766300006
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/5276
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 100080, Peoples R China
推荐引用方式 GB/T 7714	Luo, Shunlong. Notes on superadditivity of Wigner-Yanase-Dyson information[J]. JOURNAL OF STATISTICAL PHYSICS,2007,128(5):1177-1188.
APA	Luo, Shunlong.(2007).Notes on superadditivity of Wigner-Yanase-Dyson information.JOURNAL OF STATISTICAL PHYSICS,128(5),1177-1188.
MLA	Luo, Shunlong."Notes on superadditivity of Wigner-Yanase-Dyson information".JOURNAL OF STATISTICAL PHYSICS 128.5(2007):1177-1188.