Average versus maximal coherence
文献类型：期刊论文
| 作者 | Luo, Shunlong1,2 ; Sun, Yuan1,2
|
| 刊名 | PHYSICS LETTERS A
 |
| 出版日期 | 2019-08-22 |
| 卷号 | 383期号:24页码:2869-2873 |
| 关键词 | Wigner-Yanase skew information Average coherence Maximal coherence Relative entropy of coherence |
| ISSN号 | 0375-9601 |
| DOI | 10.1016/j.physleta.2019.06.027 |
| 英文摘要 | Coherence is a fundamental feature of quantum mechanics and plays a crucial role in the quantum realm. The issue of quantification of coherence has received considerable interests in recent years, and a variety of coherence quantifiers have been introduced. With these measures, one can investigate coherence in a more quantitative way. Based on the Wigner-Yanase skew information, we evaluate average coherence of a state with respect to arbitrary mutually unbiased bases as well as with respect to all orthonormal bases, and demonstrate their equivalence. We further evaluate the maximum coherence, and reveal a remarkable fact that in high dimensions, the coherence of a generic state is nearly maximal with respect to almost all reference bases. A similar concentration phenomenon also manifests itself when the coherence is quantified by the relative entropy of coherence. This observation concerning the almost equivalence between the average coherence and the maximal coherence for generic states may have theoretical implications for quantum information and quantum thermodynamics. (C) 2019 Elsevier B.V. All rights reserved. |
| 资助项目 | National Natural Science Foundation of China[11875317] ; National Center for Mathematics and Interdisciplinary Sciences, CAS[Y029152151] |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000482521800007 |
| 出版者 | ELSEVIER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/35599]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, Shunlong |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo, Shunlong,Sun, Yuan. Average versus maximal coherence[J]. PHYSICS LETTERS A,2019,383(24):2869-2873. |
| APA | Luo, Shunlong,&Sun, Yuan.(2019).Average versus maximal coherence.PHYSICS LETTERS A,383(24),2869-2873. |
| MLA | Luo, Shunlong,et al."Average versus maximal coherence".PHYSICS LETTERS A 383.24(2019):2869-2873. |
入库方式： OAI收割
来源：数学与系统科学研究院
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