QUANTUMNESS OF QUANTUM ENSEMBLES
文献类型：期刊论文
| 作者 | Luo, Shunlong ; Li, Nan; Fu, Shuangshuang
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| 刊名 | THEORETICAL AND MATHEMATICAL PHYSICS
 |
| 出版日期 | 2011-12-01 |
| 卷号 | 169期号:3页码:1724-1739 |
| 关键词 | quantum ensemble quantumness quantum correlation cloning Holevo quantity commutator quantum measurement |
| ISSN号 | 0040-5779 |
| 英文摘要 | Quantum ensembles, as generalizations of quantum states, are a universal instrument for describing the physical or informational status in measurement theory and communication theory because of the ubiquitous presence of incomplete information and the necessity of encoding classical messages in quantum states. The interrelations between the constituent states of a quantum ensemble can display more or less quantum characteristics when the involved quantum states do not commute because no single classical basis diagonalizes all these states. This contrasts sharply with the situation of a single quantum state, which is always diagonalizable. To quantify these quantum characteristics and, in particular, to more clearly understand the possibilities of secure data transmission in quantum cryptography, based on certain prototypical quantum ensembles, we introduce some figures of merit quantifying the quantumness of a quantum ensemble, review some existing quantities that are interpretable as measures of quantumness, and investigate their fundamental properties such as subadditivity and concavity. Comparing these measures, we find that different measures can yield different quantumness orderings for quantum ensembles. This reveals the elusive and complex nature of quantum ensembles and shows that no unique measure can describe all the fundamental and subtle properties of quantumness. |
| 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 |
| 语种 | 英语 |
| WOS记录号 | WOS:000300146300005 |
| 出版者 | MAIK NAUKA/INTERPERIODICA/SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/11315]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, Shunlong |
| 作者单位 | Chinese Acad Sci, Acad Math & Syst Sci, Beijing, Peoples R China |
| 推荐引用方式 GB/T 7714 | Luo, Shunlong,Li, Nan,Fu, Shuangshuang. QUANTUMNESS OF QUANTUM ENSEMBLES[J]. THEORETICAL AND MATHEMATICAL PHYSICS,2011,169(3):1724-1739. |
| APA | Luo, Shunlong,Li, Nan,&Fu, Shuangshuang.(2011).QUANTUMNESS OF QUANTUM ENSEMBLES.THEORETICAL AND MATHEMATICAL PHYSICS,169(3),1724-1739. |
| MLA | Luo, Shunlong,et al."QUANTUMNESS OF QUANTUM ENSEMBLES".THEORETICAL AND MATHEMATICAL PHYSICS 169.3(2011):1724-1739. |
入库方式： OAI收割
来源：数学与系统科学研究院
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