Uncertainty Relations for Coherence
文献类型：期刊论文
| 作者 | Luo, Shun-Long1 ; Sun, Yuan
|
| 刊名 | COMMUNICATIONS IN THEORETICAL PHYSICS
 |
| 出版日期 | 2019-12-01 |
| 卷号 | 71期号:12页码:1443-1447 |
| 关键词 | uncertainty relations coherence Wigner-Yanase skew information quantum uncertainty von Neumann measurements |
| ISSN号 | 0253-6102 |
| DOI | 10.1088/0253-6102/71/12/1443 |
| 英文摘要 | Quantum mechanical uncertainty relations are fundamental consequences of the incompatible nature of noncommuting observables. In terms of the coherence measure based on the Wigner-Yanase skew information, we establish several uncertainty relations for coherence with respect to von Neumann measurements, mutually unbiased bases (MUBs), and general symmetric informationally complete positive operator valued measurements (SIC-POVMs), respectively. Since coherence is intimately connected with quantum uncertainties, the obtained uncertainty relations are of intrinsically quantum nature, in contrast to the conventional uncertainty relations expressed in terms of variance, which are of hybrid nature (mixing both classical and quantum uncertainties). From a dual viewpoint, we also derive some uncertainty relations for coherence of quantum states with respect to a fixed measurement. In particular, it is shown that if the density operators representing the quantum states do not commute, then there is no measurement (reference basis) such that the coherence of these states can be simultaneously small. |
| 资助项目 | National Natural Science Foundation of China[11875317] ; National Center for Mathematics and Interdisciplinary Sciences, and Chinese Academy of Sciences[Y029152K51] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000518889900007 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/50946]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, Shun-Long |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo, Shun-Long,Sun, Yuan. Uncertainty Relations for Coherence[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2019,71(12):1443-1447. |
| APA | Luo, Shun-Long,&Sun, Yuan.(2019).Uncertainty Relations for Coherence.COMMUNICATIONS IN THEORETICAL PHYSICS,71(12),1443-1447. |
| MLA | Luo, Shun-Long,et al."Uncertainty Relations for Coherence".COMMUNICATIONS IN THEORETICAL PHYSICS 71.12(2019):1443-1447. |
入库方式： OAI收割
来源：数学与系统科学研究院
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