Uncertainty regions of observables and state-independent uncertainty relations
文献类型：期刊论文
| 作者 | Zhang, Lin1; Luo, Shunlong2 ; Fei, Shao-Ming3; Wu, Junde4
|
| 刊名 | QUANTUM INFORMATION PROCESSING
 |
| 出版日期 | 2021-11-01 |
| 卷号 | 20期号:11页码:42 |
| 关键词 | Uncertainty of observable Probability density function Uncertainty region State-independent uncertainty relation Harish-Chandra-Itzykson-Zuber integral |
| ISSN号 | 1570-0755 |
| DOI | 10.1007/s11128-021-03303-w |
| 英文摘要 | The optimal state-independent lower bounds for the sum of variances or deviations of observables are of significance for the growing number of experiments that reach the uncertainty limited regime. We present a framework for computing the tight uncertainty relations of variance or deviation via determining the uncertainty regions, which are formed by the tuples of two or more of quantum observables in random quantum states induced from the uniform Haar measure on the purified states. From the analytical formulae of these uncertainty regions, we present state-independent uncertainty inequalities satisfied by the sum of variances or deviations of two, three and arbitrary many observables, from which experimentally friend entanglement detection criteria are derived for bipartite and tripartite systems. |
| 资助项目 | NSF of China[11971140] ; NSF of China[61771174] ; NSF of China[12075159] ; Beijing Natural Science Foundation[Z190005] ; Key Project of Beijing Municipal Commission of Education[KZ201810028042] ; Academician Innovation Platform of Hainan Province, Academy for Multidisciplinary Studies, Capital Normal University ; Shenzhen Institute for Quantum Science and Engineering, Southern University of Science and Technology[SIQSE202001] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000711458900007 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/59465]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhang, Lin |
| 作者单位 | 1.Hangzhou Dianzi Univ, Inst Math, Hangzhou 310018, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 3.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 4.Zhejiang Univ, Sch Math Sci, Hangzhou 310027, Peoples R China |
| 推荐引用方式 GB/T 7714 | Zhang, Lin,Luo, Shunlong,Fei, Shao-Ming,et al. Uncertainty regions of observables and state-independent uncertainty relations[J]. QUANTUM INFORMATION PROCESSING,2021,20(11):42. |
| APA | Zhang, Lin,Luo, Shunlong,Fei, Shao-Ming,&Wu, Junde.(2021).Uncertainty regions of observables and state-independent uncertainty relations.QUANTUM INFORMATION PROCESSING,20(11),42. |
| MLA | Zhang, Lin,et al."Uncertainty regions of observables and state-independent uncertainty relations".QUANTUM INFORMATION PROCESSING 20.11(2021):42. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
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。