Quantum versus classical uncertainty
文献类型：期刊论文
| 作者 | Luo, SL
|
| 刊名 | THEORETICAL AND MATHEMATICAL PHYSICS
 |
| 出版日期 | 2005-05-01 |
| 卷号 | 143期号:2页码:681-688 |
| 关键词 | uncertainty classical uncertainty quantum uncertainty skew information quantum correlation entanglement uncertainty principle |
| ISSN号 | 0040-5779 |
| 英文摘要 | The uncertainty of an observable in a quantum state is usually described by variance. This description is well suited when the states are pure. But when the states are mixed, things become subtle, and the variance is a hybrid of quantum and classical uncertainties. Motivated by the notion of Fisher information in statistical inference, we establish a decomposition of the variance into quantum and classical parts. The key observation is that the Wigner-Yanase skew information (a distinguished version of quantum Fisher information) can be interpreted as a measure of quantum uncertainty. We also establish a decomposition of the conventional covariance into quantum and classical parts. The results provide a new perspective for understanding uncertainty and correlation and are used to quantify entanglement, as well as to establish a new uncertainty relation in purely quantum terms. |
| 语种 | 英语 |
| WOS记录号 | WOS:000229686400004 |
| 出版者 | CONSULTANTS BUREAU/SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/1932]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, SL |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China 2.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada |
| 推荐引用方式 GB/T 7714 | Luo, SL. Quantum versus classical uncertainty[J]. THEORETICAL AND MATHEMATICAL PHYSICS,2005,143(2):681-688. |
| APA | Luo, SL.(2005).Quantum versus classical uncertainty.THEORETICAL AND MATHEMATICAL PHYSICS,143(2),681-688. |
| MLA | Luo, SL."Quantum versus classical uncertainty".THEORETICAL AND MATHEMATICAL PHYSICS 143.2(2005):681-688. |
入库方式： OAI收割
来源：数学与系统科学研究院
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