Bounds on the Distance Between a Unital Quantum Channel and the Convex Hull of Unitary Channels
文献类型：期刊论文
| 作者 | Yu, Nengkun1,2,3; Duan, Runyao1,4,5; Xu, Quanhua6,7,8 |
| 刊名 | IEEE TRANSACTIONS ON INFORMATION THEORY
 |
| 出版日期 | 2017-02-01 |
| 卷号 | 63期号:2页码:1299-1310 |
| 关键词 | Asymptotic quantum birkhoff conjecture diamond norm Schur multiplier Grothendieck inequality |
| ISSN号 | 0018-9448 |
| DOI | 10.1109/TIT.2016.2641447 |
| 英文摘要 | Motivated by the recent resolution of asymptotic quantum birkhoff conjecture (AQBC), we attempt to estimate the distance between a given unital quantum channel and the convex hull of unitary channels. We provide two lower bounds on this distance by employing techniques from quantum information and operator algebras, respectively. We then show how to apply these results to construct some explicit counterexamples to AQBC. We also point out an interesting connection between the Grothendieck's inequality and AQBC. |
| 资助项目 | National Natural Science Foundation of China[61179030] ; National Natural Science Foundation of China[60621062] ; National Natural Science Foundation of China[11271292] ; National Natural Science Foundation of China[11301401] ; National Natural Science Foundation of China[11431011] ; Australian Research Council[DP110103473] ; Australian Research Council[DP120103776] ; Agence Nationale de Recherche[2011-BS01-008-01] |
| WOS研究方向 | Computer Science ; Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000394667700030 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/24798]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Yu, Nengkun |
| 作者单位 | 1.Univ Technol, Ctr Quantum Software & Informat, Fac Engn & Informat Technol, Sydney, NSW 2007, Australia 2.Tsinghua Univ, State Key Lab Intelligent Technol & Syst, Tsinghua Natl Lab Informat Sci & Technol, Dept Comp Sci & Technol, Beijing 100084, Peoples R China 3.Univ Technol, Ctr Quantum Computat & Intelligent Syst, Fac Engn & Informat Technol, Sydney, NSW 2007, Australia 4.Chinese Acad Sci, UTS Tsinghua Joint Res Ctr Quantum Computat & Art, Acad Math & Syst Sci, Beijing 100190, Peoples R China 5.Chinese Acad Sci, UTS AMSS Joint Res Lab Quantum Computat & Quantum, Acad Math & Syst Sci, Beijing 100190, Peoples R China 6.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China 7.Univ Franche Comte, Lab Math, F-25030 Besancon, France 8.Inst Univ France, Paris, France |
| 推荐引用方式 GB/T 7714 | Yu, Nengkun,Duan, Runyao,Xu, Quanhua. Bounds on the Distance Between a Unital Quantum Channel and the Convex Hull of Unitary Channels[J]. IEEE TRANSACTIONS ON INFORMATION THEORY,2017,63(2):1299-1310. |
| APA | Yu, Nengkun,Duan, Runyao,&Xu, Quanhua.(2017).Bounds on the Distance Between a Unital Quantum Channel and the Convex Hull of Unitary Channels.IEEE TRANSACTIONS ON INFORMATION THEORY,63(2),1299-1310. |
| MLA | Yu, Nengkun,et al."Bounds on the Distance Between a Unital Quantum Channel and the Convex Hull of Unitary Channels".IEEE TRANSACTIONS ON INFORMATION THEORY 63.2(2017):1299-1310. |
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。