中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
Notes on superadditivity of Wigner-Yanase-Dyson information

文献类型:期刊论文

作者Luo, Shunlong
刊名JOURNAL OF STATISTICAL PHYSICS
出版日期2007-09-01
卷号128期号:5页码:1177-1188
关键词Fisher information Wigner-Yanase-Dyson information superadditivity density operator spectral decomposition
ISSN号0022-4715
DOI10.1007/s10955-007-9349-2
英文摘要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.
语种英语
WOS记录号WOS:000248766300006
出版者SPRINGER
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/5275]  
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.

入库方式: OAI收割

来源:数学与系统科学研究院

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