An informational characterization of Schrodinger's uncertainty relations
文献类型：期刊论文
| 作者 | Luo, SL ; Zhang, ZM
|
| 刊名 | JOURNAL OF STATISTICAL PHYSICS
 |
| 出版日期 | 2004-03-01 |
| 卷号 | 114期号:5-6页码:1557-1576 |
| 关键词 | quantum measurement uncertainty relations Fisher information skew information Wigner-Yanase correlation |
| ISSN号 | 0022-4715 |
| 英文摘要 | Heisenberg's uncertainty relations employ commutators of observables to set fundamental limits on quantum measurement. The information concerning incompatibility (non-commutativity) of observables is well included but that concerning correlation is missing. Schrodinger's uncertainty relations remedy this defect by supplementing the correlation in terms of anti-commutators. However, both Heisenberg's uncertainty relations and Schrodinger's uncertainty relations are expressed in terms of variances, which are not good measures of uncertainty in general situations ( e. g., when mixed states are involved). By virtue of the Wigner-Yanase skew information, we will establish an uncertainty relation along the spirit of Schrodinger from a statistical inference perspective and propose a conjecture. The result may be interpreted as a quantification of certain aspect of the celebrated Wigner - Araki - Yanase theorem for quantum measurement, which states that observables not commuting with a conserved quantity cannot be measured exactly. |
| WOS研究方向 | Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000188667000017 |
| 出版者 | KLUWER ACADEMIC/PLENUM PUBL |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/19543]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, SL |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China 2.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada |
| 推荐引用方式 GB/T 7714 | Luo, SL,Zhang, ZM. An informational characterization of Schrodinger's uncertainty relations[J]. JOURNAL OF STATISTICAL PHYSICS,2004,114(5-6):1557-1576. |
| APA | Luo, SL,&Zhang, ZM.(2004).An informational characterization of Schrodinger's uncertainty relations.JOURNAL OF STATISTICAL PHYSICS,114(5-6),1557-1576. |
| MLA | Luo, SL,et al."An informational characterization of Schrodinger's uncertainty relations".JOURNAL OF STATISTICAL PHYSICS 114.5-6(2004):1557-1576. |
入库方式： OAI收割
来源：数学与系统科学研究院
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