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
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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 |
DOI | 10.1007/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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