Superadditivity of Wigner-Yanase-Dyson information revisited
文献类型：期刊论文
| 作者 | Luo, Shunlong1 ; Zhang, Qiang2
|
| 刊名 | JOURNAL OF STATISTICAL PHYSICS
 |
| 出版日期 | 2008-06-01 |
| 卷号 | 131期号:6页码:1169-1177 |
| 关键词 | Wigner-Yanase-Dyson information convexity superadditivity semi-quantum state local quantum measurement |
| ISSN号 | 0022-4715 |
| DOI | 10.1007/s10955-008-9534-y |
| 英文摘要 | The Wigner-Yanase-Dyson information is an important variant of quantum Fisher information. Two fundamental requirements concerning this notion of information content originally postulated by Wigner and Yanase are convexity and superadditivity. The former was fully established by Lieb in 1973, and led to the first proof of the strong subadditivity of quantum entropy. The latter, although widely believed to be true, was quite recently disproved by Hansen. Nevertheless, superadditivity has also been established in two extreme cases, i.e., when the states are pure or classical. In this paper, we first review a scheme to classify bipartite states into a hierarchy of classical, semi-quantum, and quantum states, which are arranged in the order of increasing quantumness. We then prove the superadditivity of the Wigner-Yanase-Dyson information for all semi-quantum states. The convexity of the Wigner-Yanase-Dyson information plays a crucial role here. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000256085700010 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/6208]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, Shunlong |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo, Shunlong,Zhang, Qiang. Superadditivity of Wigner-Yanase-Dyson information revisited[J]. JOURNAL OF STATISTICAL PHYSICS,2008,131(6):1169-1177. |
| APA | Luo, Shunlong,&Zhang, Qiang.(2008).Superadditivity of Wigner-Yanase-Dyson information revisited.JOURNAL OF STATISTICAL PHYSICS,131(6),1169-1177. |
| MLA | Luo, Shunlong,et al."Superadditivity of Wigner-Yanase-Dyson information revisited".JOURNAL OF STATISTICAL PHYSICS 131.6(2008):1169-1177. |
入库方式： OAI收割
来源：数学与系统科学研究院
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