KMS Of Academy of mathematics and systems sciences, CAS
| Clocks and fisher information | |
Chen, Ping1; Luo, Shunlong2
| |
| 2010-11-01 | |
| 发表期刊 | THEORETICAL AND MATHEMATICAL PHYSICS
 |
| ISSN | 0040-5779 |
| 卷号 | 165期号:2页码:1552-1564 |
| 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. |
| 关键词 | Fisher information quantum estimation superadditivity classical-quantum state clock synchronization |
| DOI | 10.1007/s11232-010-0129-9 |
| 语种 | 英语 |
| 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 |
| WOS类目 | Physics, Multidisciplinary ; Physics, Mathematical |
| WOS记录号 | WOS:000286199500013 |
| 出版者 | SPRINGER |
| 引用统计 | |
| 文献类型 | 期刊论文 |
| 条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/10388 |
| 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. |
| 条目包含的文件 | 条目无相关文件。 | |||||
| 个性服务 |
| 推荐该条目 |
| 保存到收藏夹 |
| 查看访问统计 |
| 导出为Endnote文件 |
| 谷歌学术 |
| 谷歌学术中相似的文章 |
| [Chen, Ping]的文章 |
| [Luo, Shunlong]的文章 |
| 百度学术 |
| 百度学术中相似的文章 |
| [Chen, Ping]的文章 |
| [Luo, Shunlong]的文章 |
| 必应学术 |
| 必应学术中相似的文章 |
| [Chen, Ping]的文章 |
| [Luo, Shunlong]的文章 |
| 相关权益政策 |
| 暂无数据 |
| 收藏/分享 |
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。
修改评论