Separation Between Quantum Lovasz Number and Entanglement-Assisted Zero-Error Classical Capacity
文献类型：期刊论文
| 作者 | Wang, Xin1; Duan, Runyao1,2 |
| 刊名 | IEEE TRANSACTIONS ON INFORMATION THEORY
 |
| 出版日期 | 2018-03-01 |
| 卷号 | 64期号:3页码:1454-1460 |
| 关键词 | Classical communication Quantum channel Entanglement-assisted zero-error capacity Lovasz number non-commutative graph theory |
| ISSN号 | 0018-9448 |
| DOI | 10.1109/TIT.2018.2794391 |
| 英文摘要 | Quantum Lovasz number is a quantum generalization of the Lovasz number in graph theory. It is the best known efficiently computable upper bound of the entanglement-assisted zero-error classical capacity of a quantum channel. However, it remains an intriguing open problem whether quantum entanglement can always enhance the zero-error capacity to achieve the quantum Lovasz number. In this paper, by constructing a particular class of qutrit-to-qutrit channels, we show that there exists a strict gap between the entanglement-assisted zero-error capacity and the quantum Lovasz number. Interestingly, for this class of quantum channels, the quantum generalization of fractional packing number is strictly larger than the zero-error capacity assisted with feedback or no-signaling correlations, which differs from the case of classical channels. |
| 资助项目 | Australian Research Council[DP120103776] ; Australian Research Council[FT120100449] |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000425665200003 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/29610]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Wang, Xin |
| 作者单位 | 1.Univ Technol Sydney, Fac Engn & Informat Technol, Ctr Quantum Software & Informat, Ultimo, NSW 2007, Australia 2.Chinese Acad Sci, Acad Math & Syst Sci, UTS AMSS Joint Res Lab Quantum Computat & Quantum, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Xin,Duan, Runyao. Separation Between Quantum Lovasz Number and Entanglement-Assisted Zero-Error Classical Capacity[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2018,64(3):1454-1460. |
| APA | Wang, Xin,&Duan, Runyao.(2018).Separation Between Quantum Lovasz Number and Entanglement-Assisted Zero-Error Classical Capacity.IEEE TRANSACTIONS ON INFORMATION THEORY,64(3),1454-1460. |
| MLA | Wang, Xin,et al."Separation Between Quantum Lovasz Number and Entanglement-Assisted Zero-Error Classical Capacity".IEEE TRANSACTIONS ON INFORMATION THEORY 64.3(2018):1454-1460. |
入库方式： OAI收割
来源：数学与系统科学研究院
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