On Quantum No-Broadcasting
文献类型：期刊论文
| 作者 | Luo, Shunlong1,2
|
| 刊名 | LETTERS IN MATHEMATICAL PHYSICS
 |
| 出版日期 | 2010-05-01 |
| 卷号 | 92期号:2页码:143-153 |
| 关键词 | bipartite states quantum relative entropy quantum mutual information classical-quantum states no-broadcasting |
| ISSN号 | 0377-9017 |
| DOI | 10.1007/s11005-010-0389-1 |
| 英文摘要 | We address the issue of one-side local broadcasting for correlations in a quantum bipartite state, and conjecture that the correlations can be broadcast if and only if they are classical-quantum, or equivalently, the quantum discord, as defined by Ollivier and Zurek (Phys Rev Lett 88:017901, 2002), vanishes. We prove this conjecture when the reduced state is maximally mixed and further provide various plausible arguments supporting this conjecture. Moreover, we demonstrate that the conjecture implies the following two elegant and fundamental no-broadcasting theorems: (1) The original no-broadcasting theorem by Barnum et al. (Phys Rev Lett 76:2818, 1996), which states that a family of quantum states can be broadcast if and only if the quantum states commute. (2) The no-local-broadcasting theorem for quantum correlations by Piani et al. (Phys Rev Lett 100:090502, 2008), which states that the correlations in a single bipartite state can be locally broadcast if and only if they are classical. The results provide an informational interpretation for classical-quantum states from an operational perspective and shed new lights on the intrinsic relation between non-commutativity and quantumness. |
| 语种 | 英语 |
| WOS记录号 | WOS:000277243800004 |
| 出版者 | SPRINGER |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/10464]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Luo, Shunlong |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Bielefeld, Fak Math, D-33615 Bielefeld, Germany |
| 推荐引用方式 GB/T 7714 | Luo, Shunlong. On Quantum No-Broadcasting[J]. LETTERS IN MATHEMATICAL PHYSICS,2010,92(2):143-153. |
| APA | Luo, Shunlong.(2010).On Quantum No-Broadcasting.LETTERS IN MATHEMATICAL PHYSICS,92(2),143-153. |
| MLA | Luo, Shunlong."On Quantum No-Broadcasting".LETTERS IN MATHEMATICAL PHYSICS 92.2(2010):143-153. |
入库方式： OAI收割
来源：数学与系统科学研究院
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