Quantumness-generating capability of quantum dynamics
文献类型：期刊论文
| 作者 | Li, Nan1,2 ; Luo, Shunlong1,2; Mao, Yuanyuan1,2
|
| 刊名 | QUANTUM INFORMATION PROCESSING
 |
| 出版日期 | 2018-04-01 |
| 卷号 | 17期号:4页码:18 |
| 关键词 | Quantum dynamics Quantumness Noncommutativity Quantum Markovianity |
| ISSN号 | 1570-0755 |
| DOI | 10.1007/s11128-018-1829-6 |
| 英文摘要 | We study quantumness-generating capability of quantum dynamics, where quantumness refers to the noncommutativity between the initial state and the evolving state. In terms of the commutator of the square roots of the initial state and the evolving state, we define a measure to quantify the quantumness-generating capability of quantum dynamics with respect to initial states. Quantumness-generating capability is absent in classical dynamics and hence is a fundamental characteristic of quantum dynamics. For qubit systems, we present an analytical form for this measure, by virtue of which we analyze several prototypical dynamics such as unitary dynamics, phase damping dynamics, amplitude damping dynamics, and random unitary dynamics (Pauli channels). Necessary and sufficient conditions for the monotonicity of quantumness-generating capability are also identified. Finally, we compare these conditions for the monotonicity of quantumness-generating capability with those for various Markovianities and illustrate that quantumness-generating capability and quantum Markovianity are closely related, although they capture different aspects of quantum dynamics. |
| 资助项目 | National Natural Science Foundation of China[11375259] ; National Natural Science Foundation of China[11405262] ; National Center for Mathematics and Interdisciplinary Sciences, Chinese Academy of Sciences[Y029152K51] ; Key Laboratory 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:000427533400029 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29830]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Li, Nan |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, RCSDS, 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 | Li, Nan,Luo, Shunlong,Mao, Yuanyuan. Quantumness-generating capability of quantum dynamics[J]. QUANTUM INFORMATION PROCESSING,2018,17(4):18. |
| APA | Li, Nan,Luo, Shunlong,&Mao, Yuanyuan.(2018).Quantumness-generating capability of quantum dynamics.QUANTUM INFORMATION PROCESSING,17(4),18. |
| MLA | Li, Nan,et al."Quantumness-generating capability of quantum dynamics".QUANTUM INFORMATION PROCESSING 17.4(2018):18. |
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。