ON COVARIANCE AND QUANTUM FISHER INFORMATION
文献类型：期刊论文
| 作者 | Luo, S.
|
| 刊名 | THEORY OF PROBABILITY AND ITS APPLICATIONS
 |
| 出版日期 | 2009 |
| 卷号 | 53期号:2页码:329-U151 |
| 关键词 | covariance quantum Fisher information uncertainty relations determinant |
| ISSN号 | 0040-585X |
| DOI | 10.1137/S0040585X9798364X |
| 英文摘要 | For a quantum state and a set of observables, we can construct an associated covariance matrix and a natural quantum Fisher information matrix. These two matrices characterize the uncertainty and information content of the observables in the relevant state. An inequality between these two matrices is established. This inequality may be interpreted as a general quantification of the Heisenberg uncertainty principle from a statistical estimation perspective. In particular, it implies a new uncertainty relation which refines the celebrated Schrodinger uncertainty relation. |
| 语种 | 英语 |
| WOS记录号 | WOS:000267617600011 |
| 出版者 | SIAM PUBLICATIONS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7248]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, S. |
| 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, S.. ON COVARIANCE AND QUANTUM FISHER INFORMATION[J]. THEORY OF PROBABILITY AND ITS APPLICATIONS,2009,53(2):329-U151. |
| APA | Luo, S..(2009).ON COVARIANCE AND QUANTUM FISHER INFORMATION.THEORY OF PROBABILITY AND ITS APPLICATIONS,53(2),329-U151. |
| MLA | Luo, S.."ON COVARIANCE AND QUANTUM FISHER INFORMATION".THEORY OF PROBABILITY AND ITS APPLICATIONS 53.2(2009):329-U151. |
入库方式： OAI收割
来源：数学与系统科学研究院
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