Bounds on the Distance Between a Unital Quantum Channel and the Convex Hull of Unitary Channels

doi:10.1109/TIT.2016.2641447

	Bounds on the Distance Between a Unital Quantum Channel and the Convex Hull of Unitary Channels
	Yu, Nengkun 1,2,3; Duan, Runyao 1,4,5; Xu, Quanhua 6,7,8
刊名	IEEE TRANSACTIONS ON INFORMATION THEORY
	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
出版者	IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
WOS记录号	WOS:000394667700030
内容类型	期刊论文
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.