Logarithm versus square root: Comparing quantum Fisher information
文献类型：期刊论文
| 作者 | Luo Shun-Long
|
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2007-04-15 |
| 卷号 | 47期号:4页码:597-600 |
| 关键词 | Fisher information logarithm square root measurement quantum Fisher information |
| ISSN号 | 0253-6102 |
| 英文摘要 | In classical statistics, the Fisher information is unique in the sense that it is essentially the only monotone Riemannian metric on the space of probability densities. In quantum theory, this uniqueness breaks down, and there are many natural quantum analogues of the Fisher information, among which two particular versions distinguish themselves by their intuitive and informational significance: The first has its origin in the skew information introduced by Wigner and Yanase in 1963 in the context of quantum measurement, and is defined via the square root of the density operator. The second arises from Helstrom's study of quantum detection in 1967, and is defined via the symmetric logarithmic derivative. The aim of this paper is to compare these two versions of quantum Fisher information, and to establish two informational inequalities relating them. |
| 语种 | 英语 |
| WOS记录号 | WOS:000245776700005 |
| 出版者 | INTERNATIONAL ACADEMIC PUBLISHERS LIMITED |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/4646]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo Shun-Long |
| 作者单位 | Chinese Acad Sci, Aca Math & Syst Sci, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo Shun-Long. Logarithm versus square root: Comparing quantum Fisher information[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2007,47(4):597-600. |
| APA | Luo Shun-Long.(2007).Logarithm versus square root: Comparing quantum Fisher information.COMMUNICATIONS IN THEORETICAL PHYSICS,47(4),597-600. |
| MLA | Luo Shun-Long."Logarithm versus square root: Comparing quantum Fisher information".COMMUNICATIONS IN THEORETICAL PHYSICS 47.4(2007):597-600. |
入库方式： OAI收割
来源：数学与系统科学研究院
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