On convexity of generalized Wigner-Yanase-Dyson information
文献类型：期刊论文
| 作者 | Cai, Liang; Luo, Shunlong
|
| 刊名 | LETTERS IN MATHEMATICAL PHYSICS
 |
| 出版日期 | 2008-03-01 |
| 卷号 | 83期号:3页码:253-264 |
| 关键词 | Wigner-Yanase-Dyson information convexity quantum Fisher information operator convex functions Morozova-Chentsov functions |
| ISSN号 | 0377-9017 |
| DOI | 10.1007/s11005-008-0222-2 |
| 英文摘要 | The convexity of the Wigner-Yanase-Dyson information, as first proved by Lieb, is a deep and fundamental result because it leads to the strong subadditivity of quantum entropy. The Wigner-Yanase-Dyson information is a particular kind of quantum Fisher information with important applications in quantum estimation theory. But unlike the quantum entropy, which is the unique natural quantum extension of the classical Shannon entropy, there are many different variants of quantum Fisher information, and it is desirable to investigate their convexity. This article is devoted to studying the convexity of a direct generalization of the Wigner-Yanase-Dyson information. Some sufficient conditions are obtained, and some necessary conditions are illustrated. In a particular case, a surprising necessary and sufficient condition is obtained. Our results reveal the intricacy and subtlety of the convexity issue for general quantum Fisher information. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000253572600005 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6629]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Cai, Liang |
| 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 | Cai, Liang,Luo, Shunlong. On convexity of generalized Wigner-Yanase-Dyson information[J]. LETTERS IN MATHEMATICAL PHYSICS,2008,83(3):253-264. |
| APA | Cai, Liang,&Luo, Shunlong.(2008).On convexity of generalized Wigner-Yanase-Dyson information.LETTERS IN MATHEMATICAL PHYSICS,83(3),253-264. |
| MLA | Cai, Liang,et al."On convexity of generalized Wigner-Yanase-Dyson information".LETTERS IN MATHEMATICAL PHYSICS 83.3(2008):253-264. |
入库方式： OAI收割
来源：数学与系统科学研究院
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