Clocks and fisher information
文献类型：期刊论文
| 作者 | Chen, Ping1; Luo, Shunlong2
|
| 刊名 | THEORETICAL AND MATHEMATICAL PHYSICS
 |
| 出版日期 | 2010-11-01 |
| 卷号 | 165期号:2页码:1552-1564 |
| 关键词 | Fisher information quantum estimation superadditivity classical-quantum state clock synchronization |
| ISSN号 | 0040-5779 |
| DOI | 10.1007/s11232-010-0129-9 |
| 英文摘要 | In a broad sense, any parametric family of quantum states can be viewed as a quantum clock. The time, which is the parameter, is encoded in the corresponding quantum states. The quality of such a clock depends on how precisely we can distinguish the states or, equivalently, estimate the parameter. In view of the quantum Cram,r-Rao inequalities, the quality of quantum clocks can be characterized by the quantum Fisher information. We address the issue of quantum clock synchronization in terms of quantum Fisher information and demonstrate its fundamental difference from the classical paradigm. The key point is the superadditivity of Fisher information, which always holds in the classical case but can be violated in quantum mechanics. The violation can occur for both pure and mixed states. Nevertheless, we establish the superadditivity of quantum Fisher information for any classical-quantum state. We also demonstrate an alternative form of superadditivity and propose a weak form of superadditivity. The violation of superadditivity can be exploited to enhance quantum clock synchronization. |
| 资助项目 | NSFC[10771208] ; Science Fund for Creative Research Groups[10721101] ; Key Lab of Random Complex Structures and Data Science, Chinese Academy of Sciences[2008DP173182] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000286199500013 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10387]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Chen, Ping |
| 作者单位 | 1.Univ Melbourne, Dept Econ, Melbourne, Vic, Australia 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Chen, Ping,Luo, Shunlong. Clocks and fisher information[J]. THEORETICAL AND MATHEMATICAL PHYSICS,2010,165(2):1552-1564. |
| APA | Chen, Ping,&Luo, Shunlong.(2010).Clocks and fisher information.THEORETICAL AND MATHEMATICAL PHYSICS,165(2),1552-1564. |
| MLA | Chen, Ping,et al."Clocks and fisher information".THEORETICAL AND MATHEMATICAL PHYSICS 165.2(2010):1552-1564. |
入库方式： OAI收割
来源：数学与系统科学研究院
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